MikaStars39/nano-eval huggingface dataset:
\( \int_{-\sqrt{2}}^{\sqrt{2}}{\sqrt{8-2 { { y}^{2}}}dy} \) = ( )

Options:
A. \\( 2\\sqrt{2}(\\pi - 1) \\)
B. \( \sqrt{2}(\pi +2) \)
C. \(\sqrt{2}(\pi + 3)\)
D. \sqrt{2}(\pi - 1)
E. \( \sqrt{2}(\pi -2) \)
F. \sqrt{2}(\pi + 1)
G. \( 2\sqrt{2}(\pi +2) \)
H. \sqrt{2}(\pi - 3)
I. \( 2\sqrt{2}(\pi -2) \)
J. \sqrt{2}(\pi - 4)
Answer: B
When Party A endorses and transfers a bill to Party B, Party A does not record Party B's name in the endorse to field. After discovering this, Party B fills in their own name in the endorse to field. Which of the following statements about the validity of Party B's act of filling in their own name is correct?

Options:
A. Revocable
B. Valid
C. Valid if ratified by Party A
D. Valid if not contested by any party
E. Invalid
F. Valid if Party B notifies Party A
G. Invalid if Party A objects
H. Valid if Party B provides a written explanation and Party A ratifies it
I. Valid if Party B provides a written explanation
J. Valid if Party B provides a written explanation and Party A does not object
Answer: B
All solutions of a second-order linear non-homogeneous differential equation

Options:
A. form a 2-dimensional affine subspace
B. form a 1-dimensional linear space
C. form an infinite-dimensional linear space
D. do not form a linear space
E. form a 1-dimensional linear subspace
F. form a 2-dimensional affine subspace of a larger linear space
G. form a 1-dimensional affine space
H. form a 2-dimensional affine space
I. form a 2-dimensional linear space
J. form a 3-dimensional linear space
Answer: D
Human daily thinking and actions, even the most minor, involve conscious initiative and a certain degree of creativity, whereas all behaviors of a computer are controlled by pre-programmed instructions. Therefore, a computer cannot possess the initiative and creativity that humans have.

Options:
A. Computer programs can simulate human initiative and creativity to some extent but not in all situations.
B. Computer programs cannot simulate human initiative and creativity.
C. Humans can write computer programs that simulate human initiative and creativity.
D. In the future society, whether humans control computers or computers control humans is a difficult question to answer.
E. Computer programs can simulate human initiative and creativity, but only in a limited number of predefined scenarios.
F. A computer can have learning functions similar to humans.
G. Computer programs can simulate aspects of human initiative but not creativity.
H. Computer programs can simulate human initiative and creativity in a limited number of scenarios but not in all situations.
I. Computer programs can partially simulate human initiative and creativity but not to the same extent as humans.
J. Computer programs can simulate human initiative but not fully replicate human creativity.
Answer: B
In his book 'China: Tradition and Transformation,' John Fairbank points out: 'Neo-Confucianism is not merely the inheritance and development of pre-Qin and Han Confucianism. It is partly a re-development of tradition and partly a completely new creation.' The 'completely new creation' refers to ( )

Options:
A. absorbing Buddhist and Taoist ideas to strengthen the moral and ethical teachings of Confucianism while maintaining a focus on social hierarchy and order
B. absorbing Buddhist and Taoist ideas to make Confucianism more practical and empirical
C. integrating the thoughts of Yin-Yang School, Huang-Lao philosophy, and Legalism to form a new Confucianism
D. absorbing Buddhist and Taoist ideas to strengthen the moral and ethical teachings of Confucianism
E. reinforcing the Confucian ethical and moral norms and using them to maintain feudal autocratic rule
F. emphasizing people's social responsibility and historical mission and highlighting the dignity of human nature
G. absorbing Buddhist and Taoist ideas to emphasize the mystical and spiritual aspects of Confucianism
H. incorporating elements of Mohist and Legalist philosophies to enhance the practical application of Confucianism
I. absorbing Buddhist and Taoist ideas to emphasize the practical and ethical aspects of Confucianism
J. absorbing Buddhist and Taoist ideas to make Confucianism more philosophical and speculative
Answer: J
For first and second-level renovation and expansion projects, a survey of the vadose zone pollution status should be conducted near the main facilities or equipment that may cause groundwater pollution. The general principle for sampling the vadose zone is ()

Options:
A. Take one sample within the depth range of 0-20cm, and take additional samples at fixed intervals of 20cm up to 100cm.
B. Take one sample within the depth range of 0-30cm, and determine the samples at other depths based on the characteristics of the pollution source, the lithology of the vadose zone, and the structural characteristics.
C. Take two samples within the depth range of 0-100cm, and determine the samples at other depths based on the characteristics of the pollution source, the lithology of the vadose zone, and the structural characteristics.
D. Take one sample within the depth range of 0-40cm, and determine the samples at other depths based on the characteristics of the pollution source, the lithology of the vadose zone, and the structural characteristics.
E. Take one sample within the depth range of 0-20cm, and no samples are needed at other depths.
F. Take two samples within the depth range of 0-100cm, and no samples are needed at other depths.
G. Take one sample within the depth range of 0-15cm, and determine the samples at other depths based on the characteristics of the pollution source, the lithology of the vadose zone, and the structural characteristics.
H. Take one sample within the depth range of 0-50cm, and determine the samples at other depths based on the characteristics of the pollution source, the lithology of the vadose zone, and the structural characteristics.
I. Take one sample within the depth range of 0-25cm, and determine the samples at other depths based on the characteristics of the pollution source, the lithology of the vadose zone, and the structural characteristics.
J. Take one sample within the depth range of 0-20cm, and determine the samples at other depths based on the characteristics of the pollution source, the lithology of the vadose zone, and the structural characteristics.
Answer: J
Let `A, B` be `n`-order matrices, `| A | = 2, | B | = -3`, then `| | 2A^** || B^T|| = `

Options:
A. - 3 cdot {2^{2{n^2} - n + 1}}
B. - 3 cdot {2^{2{n^2} + 2n}}
C. - 3 cdot {2^{2{n^2} - n}}
D. - 3 cdot {2^{2{n^2} + n + 1}}
E. 3 cdot {2^{2{n^2} + n}}
F. - 3 cdot {2^{2{n^2} - 2n}}
G. - 3 cdot {2^{2{n^2} + n}}
H. 3 cdot {2^{2{n^2} - n}}
I. - 3 cdot {2^{2{n^2} + n - 1}}
J. - 3 cdot {2^{2{n^2} + 2n - 1}}
Answer: C
For the treatment of breast abscess in the pus formation stage with fire needle, the correct statement is ()

Options:
A. Fire needle deep puncture, the depth should be to reach just below the abscess
B. Fire needle deep puncture, the depth should be to reach the abscess
C. Fire needle puncture, the depth should be to reach the hard lump
D. Fire needle deep puncture, the depth should be to reach the base of the abscess
E. Fire cupping is performed at the needle hole to drain the pus from the cavity
F. Fire needle deep puncture, the depth should be to reach the surface of the abscess
G. Fire needle deep puncture, the depth should be to reach the center of the abscess
H. Fire needle puncture, slight bleeding is appropriate
I. Fire needle deep puncture, the depth should be to reach the edge of the abscess
J. Fire needle deep puncture, the depth should be to reach just above the abscess
Answer: B
\(\frac{d}{dx}\int_{0}^{x}{\sin x\cos {t}^{2}}dt=\)

Options:
A. \(\sin x\int_{0}^{x}{\cos {t}^{2}}dt+\cos x\sin {x}^{2}\)
B. \(\sin x\int_{0}^{x}{\cos {t}^{2}}dt+\cos x\cos {x}^{2}\)
C. \(\sin x\cos {x}^{2}\)
D. \(\cos x\int_{0}^{x}{\cos {t}^{2}}dt+\sin x\cos {x}^{2}\)
E. \(\sin x\int_{0}^{x}{\sin {t}^{2}}dt+\cos x\cos {x}^{2}\)
F. \(\cos x\cos {x}^{2}\)
G. \((\cos x+\sin x)\cos {x}^{2}\)
H. \(\cos x\int_{0}^{x}{\cos {t}^{2}}dt+\sin x\sin {x}^{2}\)
I. \(\cos x\int_{0}^{x}{\sin {t}^{2}}dt+\sin x\cos {x}^{2}\)
J. \(\sin x\int_{0}^{x}{\cos {t}^{2}}dt+\cos x\cos {x}^{2} \)
Answer: D
Gong established a notarized will: all his property shall be inherited by his eldest son Gong Wen after his death. After learning this, Gong Wen wrote a will: all of Gong's estate shall be inherited by his brother Gong Wu, and all of his own estate shall be inherited by his son Gong Xiaowen. Subsequently, Gong wrote on Gong Wen's will: agree, but still leave 100,000 yuan to Gong Xiaowen. Later, Gong Wen died before Gong. Which of the following options regarding the validity of the wills is correct?

Options:
A. Gong Wen's will is valid, but Gong's modifications are invalid due to his prior death
B. Gong's will is invalid due to Gong Wen's prior death
C. The part of Gong Wen's will modified by Gong is legally valid
D. The part of Gong Wen's will involving the disposition of Gong's property is valid
E. Gong's will has been changed by him in writing
F. Gong's will remains valid, but Gong Wen's modifications are invalid due to his prior death
G. Gong Wen's will is partially valid, but Gong's modifications are invalid due to his prior death
H. Gong Wen's will is invalid, but Gong's modifications are valid due to his prior death
I. Gong Wen's will is valid, but Gong's modifications are invalid due to Gong Wen's prior death
J. Gong Wen's will is invalid due to Gong's modifications
Answer: B
Main security responsibilities: Research and coordinate solutions to major issues in financial operations, maintain financial security, especially when participating in the evaluation of major financial mergers and acquisitions, fully consider their impact on national financial security, promote orderly opening of the financial industry, and ensure national financial security.

Options:
A. National Financial Security Agency
B. National Development and Reform Commission
C. National Financial Security Commission
D. Ministry of Finance
E. China Securities Regulatory Commission
F. Ministry of Commerce
G. People's Bank of China
H. Central Bank of China
I. China Banking and Insurance Regulatory Commission
J. Ministry of State Security
Answer: G
If the random variable \(X \sim N(\mu, \sigma^2)\), then \(P\left\{\left|\dfrac{X-\mu}{\sigma}\right| < 1\right\}\) changes with the increase of \(\sigma\) as follows:

Options:
A. decreases slightly
B. fluctuates slightly
C. increases
D. remains constant
E. unchanged
F. fluctuates
G. remains the same
H. insufficient conditions to determine
I. decreases
J. increases slightly
Answer: E
\( \int{\frac{\ln \cos x}{{\cos}^{2}x}dx} \)

Options:
A. (\\tan x)\\ln \\cos x + \\tan x + x - C
B. (\tan x)\ln \cos x - \tan x + x + C
C. (\\tan x)\\ln \\cos x - \\tan x - x + C
D. (\\tan x)\\ln \\cos x + \\tan x + x + C
E. (\cot x)\ln \cos x - \cot x - x + C
F. (\\tan x)\\ln \\cos x + \\tan x - x + C
G. (\\tan x)\\ln \\cos x + \\cot x + x + C
H. (\cot x)\ln \cos x - \tan x - x + C
I. (\\cot x)\\ln \\cos x + \\tan x + x + C
J. (\\tan x)\\ln \\cos x + \\cot x - x + C
Answer: F
In a balanced binary tree, after inserting a node causes imbalance, let the lowest unbalanced node be A, and it is known that the balance factor of A's left child is 0 and the balance factor of A's right child is 1, then a () type adjustment should be made to balance it.

Options:
A. RL (with a minor typo: RLL)
B. LR
C. LR (with a minor typo: LRL)
D. RR (with a minor typo: RRL)
E. RL (with a minor typo: RLR)
F. RR (with a minor typo: RRR)
G. RL
H. LR (with a minor typo: LRR)
I. LL
J. RR
Answer: G
The view that denies the absoluteness of motion and absolutizes rest is?

Options:
A. Materialism
B. Mechanism
C. Metaphysics
D. Relativism
E. Empiricism
F. Idealism
Answer: C
The solution with the largest mean square end-to-end distance of molecular chains is

Options:
A. sub-good solvent
B. good solvent
C. near-good solvent
D. super-good solvent
E. athermal solvent
F. near-super-good solvent
G. near-athermal solvent
Answer: B
A male infant presented with persistent thrush after birth and died of fungal pneumonia at 9 months of age. Autopsy revealed thymic hypoplasia. The persistent infections in this infant were mainly due to ( )

Options:
A. phagocyte deficiency
B. humoral immune deficiency with thymic hypoplasia
C. cellular immune deficiency with moderate thymic hypoplasia
D. humoral immune deficiency
E. cellular immune deficiency with mild thymic hypoplasia
F. cellular immune deficiency with severe thymic hypoplasia
G. cellular immune deficiency with thymic hypoplasia
H. cellular immune deficiency
I. acquired immunodeficiency
J. complement system deficiency
Answer: H
The vector orthogonal to vectors `a_{1}=(1,1,1)^{T}`, `a_{2}=(1,-2,1)^{T}` is

Options:
A. `(1,-1,0)^{T}`
B. (1,0,2)^{T}
C. `(1,0,1)^{T}`
D. `(-1,0,1)^{T}`
E. (1,0,-2)^{T}
F. `(-1,0,-1)^{T}`
G. (-1,0,-1)^{T}
H. (-1,0,2)^{T}
I. (1,0,-1)^{T}
J. (1,0,1)^{T}
Answer: D
The function that is continuous everywhere in its domain is ( ).

Options:
A. \(f(x) = \left\{ egin{matrix} rac{\sqrt{x + 1} - 1}{\sqrt{x}}, & x > 0 \ 1, & x \le 0 \end{matrix} ight.\)
B. \(f(x) = \left\{ egin{matrix} x^2 + 2x, & x \le 0 \ e^x, & x > 0 \end{matrix} ight.\)
C. \(f(x) = \left\{ \begin{matrix} \frac{1 - x^2}{1 - x}, & x \ne 1 \\ 1, & x = 1 \end{matrix} \right.\)
D. \(f(x) = \left\{ \begin{matrix} \frac{1 - x^2}{1 - x}, & x \ne 1 \\ 2, & x = 1 \end{matrix} \right.\)
E. \(f(x) = \left\{ egin{matrix} \ln x, & x > 0 \ x^2, & x \le 0 \end{matrix} ight.\)
F. \(f(x) = \left\{ \begin{matrix} \frac{1 - x^2}{1 - x}, & x \ne 1 \\ 0, & x = 1 \end{matrix} \right.\)
G. \(f(x) = \left\{ \begin{matrix} \frac{1 - x^2}{1 - x}, & x \ne 1 \\ -1, & x = 1 \end{matrix} \right.\)
H. \(f(x) = \left\{ \begin{matrix} \frac{1 - x^2}{1 + x}, & x \ne 1 \\ 1, & x = 1 \end{matrix} \right.\)
I. \(f(x) = \left\{ \begin{matrix} \frac{1 - x^2}{1 + x}, & x \ne 1 \\ -2, & x = 1 \end{matrix} \right.\)
J. \(f(x) = \left\{ \begin{matrix} \frac{1 - x^2}{1 + x}, & x \ne 1 \\ 0, & x = 1 \end{matrix} \right.\)
Answer: J
The relationship between conflict and organizational performance is mainly manifested as:

Options:
A. There exists an optimal level of conflict, below which organizational performance is the lowest and above which it gradually decreases
B. Conflict and organizational performance are positively correlated, the higher the level of conflict, the higher the organizational performance
C. Conflict and organizational performance are negatively correlated, the higher the level of conflict, the lower the organizational performance
D. Conflict within the organization helps to form a situation of diverse opinions, which is beneficial for organizational innovation and improves organizational performance
E. There exists an optimal level of conflict, below which organizational performance gradually increases and above which it gradually decreases
F. Maintaining the level of conflict to a certain extent has no impact on organizational performance, exceeding this level results in a negative correlation
G. There exists an optimal level of conflict, below which organizational performance is the lowest and above which it gradually increases
H. There exists an optimal level of conflict, at which organizational performance is the highest
I. There exists a maximum level of conflict, above which organizational performance starts to decline, and below which it gradually increases
J. There exists a minimum level of conflict, below which organizational performance is the lowest and above which it gradually increases
Answer: H
The inverse function of $y = left{ begin{array}{l} 1 + {{rm{e}}^{ - x}}{rm{, }}quad quad ;,quad x le {rm{0,}} 2 - 2x,{rm{ }}quad qquad ;0 &lt; x &lt; 1, 2x - (1 + {x^2}),{rm{ }}quad x ge 1 end{array} right.$ is ( ).

Options:
A. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 2, 1 - frac{1}{2}x,{rm{ }}qquad ,0 < x < 1, 1 + sqrt {|x|} {rm{, }};;,{rm{ }}quad x le -1 end{array} right. $
B. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 1, 1 - frac{1}{2}x,{rm{ }}qquad ,0 < x < 2, 1 + sqrt {|x|} {rm{, }};;,{rm{ }}quad x le 0 end{array} right. $
C. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 1, 1 - frac{1}{2}x,{rm{ }}qquad ,0 < x < 2, 1 + sqrt {|x|} {rm{, }};;,{rm{ }}quad x le -1 end{array} right. $
D. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 0, 1 - frac{1}{2}x,quad quad - {rm{2}} < x < 0, 1 + sqrt {|x|} {rm{, }}qquad {rm{ }}x le - 2 end{array} right. $
E. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 1, 1 - frac{1}{2}x,{rm{ }}qquad ,0 < x < 2, 1 + sqrt {|x|} {rm{, }};;,{rm{ }}quad x le -2 end{array} right. $
F. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 1, 1 - frac{1}{2}x,{rm{ }}qquad ,0 < x < 2, 1 + sqrt {|x|} {rm{, }};;,{rm{ }}quad x le 1 end{array} right. $
G. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 2, 1 - frac{1}{2}x,{rm{ }}qquad ,0 < x < 2, 1 + sqrt {|x|} {rm{, }};;,{rm{ }}quad x le 0 end{array} right. $
H. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 1, 1 - frac{1}{2}x,{rm{ }}qquad ;0 < x < 1, 1 + sqrt {|x|} {rm{, }};;,quad x le 0 end{array} right. $
I. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 1, 1 - frac{1}{2}x,{rm{ }}qquad ,0 < x < 1, 1 + sqrt {|x|} {rm{, }};;,{rm{ }}quad x le 0 end{array} right. $
J. $y = left{ begin{array}{l} - ln (x - 1),{rm{ }}quad x ge 2, 1 - frac{1}{2}x,quad ;;; - {rm{2}} < x < 2, 1 + sqrt {|x|} {rm{, }};;quad x le - 2 end{array} right. $
Answer: G
Among the following statements, the correct one is

Options:
A. There exists a divergent sequence ${{a}_{n}}$ such that $|{{a}_{n}}|$ is unbounded
B. There exists a divergent sequence ${{a}_{n}}$ such that $|{{a}_{n}}|$ diverges
C. There exists a divergent sequence ${{a}_{n}}$ such that $|{{a}_{n}}|$ is bounded
D. If $underset{n to infty }{mathop{lim }},{{a}_{n}}=A$, and $A ge 0$, then $exists N gt 0$, $forall n gt N$, we have ${{a}_{n}} ge 0$
E. There exists a divergent sequence ${{a}_{n}}$ such that $|{{a}_{n}}|$ converges
F. If ${{a}_{n}}$ and ${{b}_{n}}$ are two sequences, then $underset{n to infty }{mathop{lim }},({{a}_{n}}-{{b}_{n}})=underset{n to infty }{mathop{lim }},{{a}_{n}}-underset{n to infty }{mathop{lim }},{{b}_{n}}$
G. If ${{a}_{n}}$ and ${{b}_{n}}$ are two sequences, then $underset{n to infty }{mathop{lim }},({{a}_{n}}+{{b}_{n}})=underset{n to infty }{mathop{lim }},{{a}_{n}}+underset{n to infty }{mathop{lim }},{{b}_{n}}$
H. There exists a divergent sequence ${{a}_{n}}$ such that $|{{a}_{n}}|$ is eventually constant
I. If a sequence does not converge, then it must be unbounded
J. There exists a divergent sequence ${{a}_{n}}$ such that $|{{a}_{n}}|$ is eventually zero
Answer: E
The predecessors once made a profound evaluation of Su Shi and Xin Qiji's ci poems: 'With gratitude and heroic abandon, Su and Xin stand side by side through the ages, yet in terms of loyalty, love, and compassion, Su surpasses Xin, while in terms of unrestrained resentment and grandeur, with twists and turns, Xin stands alone through the ages. Xin's ci poems have a powerful spirit, like thunder and raging waves, captivating the senses, a grand spectacle of heaven and earth. Only Jialing had this power of the pen afterward, but he did not match in depth.' From which commentator's work does this come from?

Options:
A. Zhang Yan's 'The Source of Ci: The Collection of Free Songs: The Collection of Valuable Ears'
B. Zhang Yan's 'The Source of Ci'
C. Wei Qingzhi's 'The Jade Scraps of Poets'
D. Chen Tingzhuo's 'The Rules of Ci: The Collection of Free Songs: The Jade Scraps of Poets'
E. Zhang Duan's 'The Collection of Valuable Ears'
F. Chen Tingzhuo's 'The Rules of Ci: The Collection of Valuable Ears'
G. Zhang Yan's 'The Source of Ci: The Collection of Free Songs: The Jade Scraps of Poets'
H. Chen Tingzhuo's 'The Rules of Ci: The Collection of Free Songs'
I. Zhang Yan's 'The Source of Ci: The Collection of Free Songs'
J. Zhang Yan's 'The Source of Ci: The Collection of Valuable Ears'
Answer: H
Represented by Mao Zedong, the Chinese Communists made tireless explorations and efforts to safeguard China's national security, especially during the Anti-Japanese War, when the KMT and the CCP cooperated and persisted in the eight-year war of resistance, forming a series of national security strategic thoughts with ( ) at the core, laying an important foundation for the modern national security strategic thoughts of China.

Options:
A. Party leadership
B. United Front
C. People's War
D. Party-led War
E. Party-led People's War
F. Party-led People's Resistance
G. Party-led People's Struggle
H. Party-led People's War of Resistance
I. Party-led People's War of Liberation
J. Party commands the gun
Answer: C
Let the real symmetric matrix `A` of order `3` satisfy `A^3 + A^2 = 0`, then `A` is similar to the diagonal matrix `Lambda =`

Options:
A. begin{bmatrix} 0 & 0 &0 0 & -1& 0 0 & 0 & 0 end{bmatrix}
B. begin{bmatrix} 0 & 0 &0 0 & 0& 0 0 & 0 & -1 end{bmatrix}
C. begin{bmatrix} 1 &0 &0 0 & 1& 0 0 & 0 & -1 end{bmatrix}
D. begin{bmatrix} 0 & 0 &0 0 & -1& 0 0 & 0 & -1 end{bmatrix}
E. begin{bmatrix} 0 & 0 &0 0 & 1& 0 0 & 0 & -1 end{bmatrix}
F. begin{bmatrix} 0 & 0 &0 0 & -1& 0 0 & 0 & 1 end{bmatrix}
G. begin{bmatrix} 1 & 0 &0 0 & 0& 0 0 & 0 & -1 end{bmatrix}
H. begin{bmatrix} 0 & 0 &0 0 & -1& 0 0 & 0 & 2 end{bmatrix}
I. begin{bmatrix} 0 & 0 &0 0 & 1& 0 0 & 0 & 0 end{bmatrix}
J. begin{bmatrix} 0 & 0 &0 0 & 0& 0 0 & 0 & 1 end{bmatrix}
Answer: B
Given \( y = {x^2}{e^{ - x}} \), then \( y'' \) is ( ).

Options:
A. \( 2{e^{ - x}} - 4x{e^{ - x}} + 2{x^2}{e^{ - x}} \)
B. \( 2{e^{ - x}} - 4x{e^{ - x}} - {x^2}{e^{ - x}} \)
C. 0
D. 2{e^{ - x}} - 4x{e^{ - x}} + 3{x^2}{e^{ - x}}
E. 2{e^{ - x}} - 4x{e^{ - x}} - 3{x^2}{e^{ - x}}
F. \( 2{e^{ - x}} - 4x{e^{ - x}} - 3{x^2}{e^{ - x}} \)
G. \( 2{e^{ - x}} - 4x{e^{ - x}} \)
H. 2{e^{ - x}} - 4x{e^{ - x}} - {x^2}{e^{ - x}} + x{e^{ - x}}
I. \( 2{e^{ - x}} - 4x{e^{ - x}} + {x^2}{e^{ - x}} \)
J. \( 2{e^{ - x}} - 4x{e^{ - x}} - 2{x^2}{e^{ - x}} \)
Answer: I
Baylor immunologists, working with the Houston Zoo, need monoclonal antibodies to elephant herpes virus. They mix B cells secreting this antibody with myeloma cells in a medium that encourages cells to fuse. They then culture the individual cell products of the experiment. How do the immunologists know that a successful culture is derived from a hybridoma formed by the fusion of a B cell and a myeloma cell and not by the fusion of two myeloma cells only?

Options:
A. It survives in HAT medium.
B. It can synthesize nucleotides de novo and survive in HAT medium, but does not divide indefinitely.
C. It can synthesize nucleotides de novo and survive in HAT medium.
D. It can synthesize nucleotides de novo and divide indefinitely.
E. It can synthesize nucleotides de novo.
F. It can synthesize nucleotides de novo and survive in HAT medium, but does not secrete myeloma antibodies.
G. It can synthesize nucleotides de novo and survive in HAT medium, but does not secrete antibodies.
H. It can synthesize nucleotides de novo and secrete antibodies.
I. It can divide indefinitely.
J. It does not secrete myeloma antibodies.
Answer: A
MOV R0,#40H; MOV R1,#50H; MOV R2,#30H; CLR C; LOOP:MOV A,@R0; ADDC A,@R1; DA A; MOV @R0,Ａ; INC R0; INC R1; --here is missing an instruction--; RET; The function of the above program is to set two decimal numbers stored starting from the internal RAM 40H unit and 50H unit (the least significant bit is in front), and their byte length is stored in the internal 30H unit. This program can achieve the addition of two decimal numbers and store the result in the units starting from 40H. The part marked with a line in this program is missing an instruction, which is?

Options:
A. DJNZ R0,LOOP
B. DJNZ R4,LOOP
C. DJNZ R3,LOOP
D. DJNZ R1,LOOP
E. DJNZ R3, LOOP
F. DJNZ R2,LOOP
G. DJNZ R1, LOOP
H. DJNZ R5, LOOP
I. DJNZ R2, LOOP
J. DJNZ R5,LOOP
Answer: F
A 35-year-old male patient has had intermittent upper abdominal distension and pain for 5 years, which worsens on an empty stomach and can be relieved after eating, without radiating pain, with symptoms of belching and acid regurgitation, and is prone to occur in winter and spring. Physical examination reveals only upper abdominal tenderness with no other abnormalities. Based on the characteristics and pattern of abdominal pain, the doctor initially diagnosed the condition as a duodenal ulcer. The clinical thinking process of the doctor belongs to

Options:
A. analogical reasoning
B. deductive reasoning
C. categorical reasoning
D. abductive reasoning
E. inductive reasoning
Answer: B
Let f(x) be an even function defined on R with a period of 2. It is known that when x ∈ (0,1), f(x) = log[1/2](1-x). Then, the function f(x) on (1,2) is

Options:
A. a decreasing function, and f(x)>0
B. a decreasing function, and f(x)<0
C. a decreasing function, and f(x)
D. an increasing function, and f(x)<0
E. an increasing function, and f(x)
F. an increasing function, and f(x)>0
Answer: A
Some philosophers believe that causality is a psychological habit formed by people observing two sets of phenomena occurring in succession multiple times. This view belongs to?

Options:
A. Materialist view on causality
B. Metaphysical view on causality
C. Skeptical view on causality
D. Rationalist view on causality
E. Idealist view on causality
F. Empiricist view on causality
G. Relativist view on causality
Answer: E
The main factors contributing to a red and purple tongue include:

Options:
A. Excessive pathogenic heat, vigorous qi and blood agitation
B. Excessive pathogenic heat, sluggish qi and blood stagnation
C. Excessive pathogenic heat, sluggish qi and blood circulation
D. Yin coldness predominating internally, yang qi being obstructed
E. Excessive pathogenic cold, sluggish qi and blood circulation
F. Heat entering the nutrient blood, depleting nutrient yin
G. Excessive pathogenic heat, vigorous qi and blood stagnation
H. Excessive pathogenic heat, sluggish qi and blood agitation
I. Yin deficiency with dryness, virtual fire rising
Answer: A
If the coefficient matrix of the non-homogeneous linear equation system (I) is an $n$-order square matrix $A$, then the correct statement is ( ).

Options:
A. $|A|
eq 0$ is a necessary condition for the equation system (I) to have a solution.
B. $|A|
eq 0$ is a sufficient condition for the equation system (I) to have a unique solution, but not a necessary condition;
C. $|A| = 0$ is a necessary condition for the equation system (I) to have infinitely many solutions.
D. $|A| \neq 0$ is a sufficient condition for the equation system (I) to have a unique solution, and a necessary condition for the equation system (I) to have infinitely many solutions;
E. $|A| \neq 0$ is a necessary condition for the equation system (I) to have a unique solution, and a sufficient condition for the equation system (I) to have a solution;
F. $|A| \neq 0$ is a sufficient condition for the equation system (I) to have a unique solution, and a necessary condition for the equation system (I) to have a solution;
G. $|A|
eq 0$ is a necessary condition for the equation system (I) to have a unique solution, but not a sufficient condition;
H. $|A| \neq 0$ is a necessary and sufficient condition for the equation system (I) to have a unique solution;
I. $|A| \neq 0$ is a necessary condition for the equation system (I) to have a unique solution, and a sufficient condition for the equation system (I) to have infinitely many solutions;
J. $|A| \neq 0$ is a sufficient condition for the equation system (I) to have a solution, but not a necessary condition;
Answer: H
The Ming Thirteen Tombs is a cluster of imperial mausoleums, centered around the ancestral tomb, arranged in an orderly manner to form a whole. The ancient political system that influenced this burial system is ( ).

Options:
A. Feudal Patriarchal Rule
B. Hereditary Official System
C. Feudal Patriarchal Monarchy System
D. Patriarchal System
E. Patriarchal Monarchy System
F. Patriarchal Supervision System
G. Feudal System
H. Patriarchal Feudal System
I. Feudal Bureaucracy System
J. Feudal Patriarchal System
Answer: D
Let the population \( X \sim N(\mu, \sigma^2) \). If it is required to ensure with 99.7% probability that \( \left| \bar{X} - \mu \right| < 0.1 \), what should the sample size \( n \) be when \( \sigma^2 = 0.5 \)? (Given \( \Phi(2.96) = 0.9985 \))

Options:
A. 441
B. 439
C. 438
D. 440
E. 450
F. 436
G. 400
H. 437
I. 435
J. 434
Answer: B
The principle of high rebound elasticity in thermoplastic synthetic rubber lies in its pseudo-bridging structure, and the copolymerization method used in the pseudo-bridging is

Options:
A. graft copolymerization
B. random copolymerization
C. interpenetrating copolymerization
D. sequential copolymerization
E. segmented block copolymerization
F. random block copolymerization
G. block copolymerization
H. alternating copolymerization
I. sequential block copolymerization
J. segmented copolymerization
Answer: G
In a class society, the fundamental reason why the ideology of the ruling class is in a dominant position is that they?

Options:
A. have a monopoly on economic resources
B. control the means of economic production
C. have a monopoly on military force
D. control the means of economic and political production
E. are economically dominant
F. control the propaganda machinery
G. control the means of production
H. represent the direction of historical development
I. control the educational institutions
J. have a large number of talents and strong power
Answer: E
A patient refuses to eat food prepared by family members and always checks every corner of the house, checking if doors and windows are locked. You think he may have ( )

Options:
A. Erotomania
B. Paranoid Delusion
C. Grandiose Delusion
D. Delusion of Jealousy
E. Persecutory Delusion
F. Delusional Relationship
G. Delusion of Control
H. Obsessive-Compulsive Disorder
I. Delusion of Reference
J. Feeling of Being Thoroughly Understood
Answer: B
The mechanism of action of ticlopidine is

Options:
A. antagonizing the effect of vitamin K
B. inhibiting thromboxane A2 synthesis
C. enhancing the effect of antithrombin III
D. activating plasmin
E. inhibiting arachidonic acid metabolism
F. inhibiting ADP-mediated platelet aggregation
G. inhibiting ADP-mediated platelet activation
Answer: G
The area of the plane figure enclosed by $\left(x^2+y^2\right)^2=8x^2$ is ( ).

Options:
A. $7\pi$
B. $3\pi$
C. $5\pi$
D. $\pi$
E. $9\pi$
F. $2\pi$
G. $8\pi$
H. $4\pi$
I. $10\pi$
J. $6\pi$
Answer: H
The construction investment of a project (excluding interest during the construction period) is 50 million yuan, the total interest on project loans before production is 3 million yuan, the total working capital required for maintaining production after the project is put into operation is 1000 yuan, and the average annual profit before tax and interest is 5 million yuan. The total investment return rate of the project is approximately ().

Options:
A. 8.2%
B. 7.7%
C. 7.6%
D. 10.0%
E. 8.0%
F. 9.4%
G. 7.8%
H. 8.3%
I. 7.9%
J. 8.1%
Answer: I
The correct meaning of proto-oncogene (c-onc) is

Options:
A. a gene inherent in cells, whose inappropriate expression can cause cell migration
B. a gene inherent in cells, whose inappropriate expression can cause cell carcinogenesis
C. a gene that can encode growth factors and also expresses to synthesize oncoproteins
D. a gene inherent in cells, whose inappropriate expression can cause cell senescence
E. a gene that encodes growth factor receptors and also encodes oncoproteins
F. a gene inherent in cells, whose inappropriate expression can cause cell proliferation
G. an oncogene transmitted to cells by viral infection
H. a gene inherent in cells, whose overexpression can cause cell apoptosis
I. a gene inherent in cells, whose inappropriate expression can cause cell differentiation
J. a gene that can be activated by viral infection, leading to cell carcinogenesis
Answer: B
A particle is originally in a one-dimensional infinite potential well given by $V(x)=\left\{\begin{aligned}0,~~~|x|<a,\infty,~~|x|>a,\end{aligned}\right.$ The particle is in the ground state, with $E_1=\pi^2\hbar^2/2ma^2$. At $t=0$, the width of the potential well suddenly changes to $2a$, and the wave function of the particle does not have time to change, i.e., $\psi(x,0)=\psi_1(x)=\sqrt{\frac{2}{a}}\sin\frac{\pi x}{a}$. For the widened infinite potential well $V(x)=\left\{\begin{aligned}0,~~~|x|<2a,\infty,~~|x|>2a,\end{aligned}\right.$, is $\psi(x,0)$ still an energy eigenstate? What is the probability of measuring the particle in the energy eigenstate $E_1$?

Options:
A. Yes, the probability is $rac{1}{3}$
B. No, the probability is $\frac{1}{7}$
C. No, the probability is $\frac{1}{5}$
D. No, the probability is $\frac{1}{4}$
E. No, the probability is $\frac{1}{6}$
F. No, the probability is $\frac{1}{8}$
G. Yes, the probability is $rac{2}{5}$
H. No, the probability is $\frac{1}{3}$
I. No, the probability is $rac{1}{4}$
J. No, the probability is $\frac{1}{2}$
Answer: J
\( \mathop {lim }limits_{x to 4} { { \sqrt {1 + 2x} - 3} over { \sqrt {x - 2} - \sqrt 2 }} = \)

Options:
A. \\( { { 3\sqrt 2 } over 5} \\)
B. \\( { { 3\sqrt 2 } over 4} \\)
C. \( { { 2\sqrt 3 } over 5} \)
D. \\( { { 2\sqrt 2 } over 4} \\)
E. { { 2\sqrt 2 } over 6}
F. \( { { 2\sqrt 2 } over 3} \)
G. \( { { 3\sqrt 2 } over 2} \)
H. \\( { { 2\sqrt 2 } over 5} \\)
I. \\( { { 4\sqrt 2 } over 3} \\)
J. \( { { 5\sqrt 3 } over 2} \)
Answer: F
In the complex social contradictions of modern China, the main contradiction is ( )

Options:
A. the contradiction between the peasant class and the landlord class
B. the contradiction between the Chinese nation and imperialism
C. the contradiction between imperialism and the Chinese nation
D. the contradiction between imperialism and the Chinese bourgeoisie
E. the contradiction between the bourgeoisie and the Chinese nation
F. the contradiction between the proletariat and imperialism
G. the contradiction between feudalism and imperialism
H. the contradiction between the proletariat and the bourgeoisie
I. the contradiction between feudalism and the masses of the people
J. the contradiction between the proletariat and the Chinese nation
Answer: C
Among the following diseases, a decrease in HLA molecule expression can be found in:

Options:
A. Prostate Cancer
B. Breast Cancer
C. Post-streptococcal Glomerulonephritis
D. Systemic Lupus Erythematosus
E. Rheumatoid Arthritis
F. AIDS
Answer: A
If an \( n \)th order square matrix \( A \) is similar to some diagonal matrix, then ( )

Options:
A. \( A \) has \( n \) linearly independent eigenvectors and is diagonalizable
B. \( A \) has \( n \) linearly independent eigenvectors and is symmetric
C. \( A \) has \( n \) distinct eigenvalues
D. \( A \) must be a symmetric matrix
E. \( A \) has \( n \) distinct eigenvalues and is symmetric
F. \( A \) has \( n \) distinct eigenvalues and \( n \) linearly independent eigenvectors
G. rank \( R(A) = n \)
H. \( A \) has \( n-1 \) linearly independent eigenvectors and one repeated eigenvalue
I. \( A \) has \( n-1 \) linearly independent eigenvectors and one distinct eigenvalue
J. \( A \) has \( n \) linearly independent eigenvectors
Answer: J
The appearance of variably sized, round, homogeneous red-stained substances within the cytoplasm is seen in:

Options:
A. renal tubules in chronic pyelonephritis
B. renal tubules in acute tubular necrosis
C. fibrous scar tissue
D. renal tubules in acute glomerulonephritis
E. renal tubules in hypertensive nephropathy
F. fibrous plaques in atherosclerosis
G. renal tubules in diabetic nephropathy
H. fibrotic glomeruli
I. fine arteries in hypertension
J. renal tubules in chronic glomerulonephritis
Answer: J
A 34-year-old woman, 33 weeks pregnant, has experienced chest tightness and shortness of breath for 2 weeks, which worsened over the past 3 days. She has a history of primary hypertension for more than 10 years and has been taking antihypertensive medication during pregnancy, with blood pressure fluctuating between 140-170/80-100 mmHg. Two weeks ago, she developed palpitations and shortness of breath, which worsened over the past 3 days, making it impossible for her to lie flat. Her blood pressure was measured at 159/89 mmHg; heart rate was 122 beats per minute; she was in a semi-reclining position, with bilateral lower limb edema (++). Fetal heart rate was 135 beats per minute. The appropriate management for this patient currently is:

Options:
A. Wait for fetal lung maturity before terminating the pregnancy
B. Actively correct heart failure and terminate the pregnancy at 34 weeks
C. Actively correct heart failure and consider cesarean section if no improvement
D. Continue expectant management until 35 weeks after correcting heart failure
E. Correct heart failure while performing an emergency cesarean section
F. Actively correct heart failure and wait for spontaneous labor
G. Immediate cesarean section
H. Actively correct heart failure and terminate the pregnancy
I. Actively correct heart failure and terminate the pregnancy at 32 weeks
J. Actively correct heart failure and terminate the pregnancy at 33 weeks
Answer: H
The Battle of Maliang between Qi and Wei, Sun Bin deceived Pang Juan by reducing the number of cooking stoves. In the Eastern Han Dynasty, during the Wudu Battle, the Han general Yu Xi deceived the enemy by increasing the number of cooking stoves. This reflects the ( ) thought in Sun Tzu's Art of War.

Options:
A. attacking cities
B. strategic planning
C. diplomatic warfare
D. psychological tactics
E. strategic deception
F. psychological warfare
G. strategic misdirection
H. deception
Answer: H
The operating income of a company this year is 12 million yuan, with a variable cost rate of 60%. The operating leverage factor for next year is 1.5, and the operating leverage factor for this year is 2. Then, the fixed operating cost of the company is ( ) million yuan.

Options:
A. 220
B. 200
C. 320
D. 280
E. cannot be calculated
F. 180
G. 160
H. 140
I. 240
J. 150
Answer: G
The particular solution to the system of differential equations $\frac{dx}{dt}=y+z, \frac{dy}{dt}=z+x, \frac{dz}{dt}=x+y$ that satisfies the initial conditions $x(0)=1, y(0)=0, z(0)=5$ is ( )

Options:
A. x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=-2{{e}^{-t}}+2{{e}^{2t}}, z(t)=3{{e}^{-t}}-3{{e}^{2t}}
B. $x(t)=-{{e}^{t}}+2{{e}^{2t}}, y(t)=2{{e}^{t}}+2{{e}^{2t}}, z(t)=-3{{e}^{t}}+2{{e}^{2t}}$
C. x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=-2{{e}^{-t}}+2{{e}^{2t}}, z(t)=3{{e}^{-t}}-2{{e}^{2t}}
D. $x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=2{{e}^{-t}}+2{{e}^{2t}}, z(t)=3{{e}^{-t}}+2{{e}^{2t}}$
E. $x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=-2{{e}^{-t}}+2{{e}^{2t}}, z(t)=3{{e}^{-t}}+2{{e}^{2t}}$
F. x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=-2{{e}^{-t}}+2{{e}^{2t}}, z(t)=-3{{e}^{-t}}+2{{e}^{2t}}
G. x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=-2{{e}^{-t}}+2{{e}^{2t}}, z(t)=3{{e}^{-t}}-4{{e}^{2t}}
H. x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=-2{{e}^{-t}}+2{{e}^{2t}}, z(t)=-3{{e}^{-t}}+3{{e}^{2t}}
I. x(t)=-{{e}^{-t}}+2{{e}^{2t}}, y(t)=-2{{e}^{-t}}+2{{e}^{2t}}, z(t)=-3{{e}^{-t}}-2{{e}^{2t}}
J. $x(t)=-{{e}^{t}}+2{{e}^{2t}}, y(t)=-2{{e}^{t}}+2{{e}^{2t}}, z(t)=3{{e}^{t}}+2{{e}^{2t}}$
Answer: E
Indications for the combined use of antimicrobial agents include:

Options:
A. severe mixed infections that cannot be controlled by a single antimicrobial agent
B. severe bacterial infections with known pathogens
C. severe bacterial infections with unknown pathogens
D. reducing the toxic reactions of drugs
E. long-term use where bacteria may develop resistance
F. severe bacterial infections with known resistant strains
G. severe bacterial infections with multiple resistant strains
H. endocarditis or sepsis that cannot be effectively controlled by a single antimicrobial agent
I. severe bacterial infections with known intermediate strains
J. severe bacterial infections with known sensitive strains
Answer: C
A company leased a set of equipment from a leasing company on January 1, 20×6, with a value of 1,000,000 yuan, for a lease term of 10 years. The estimated residual value at the end of the lease term is 50,000 yuan, which will belong to the lessee. The cost of capital is 12%. The rent is paid at the beginning of each year in equal annuities. The rent paid by the lessee at the beginning of each year is

Options:
A. 158,000 yuan
B. 160,000 yuan
C. 162,000 yuan
D. 155,000 yuan
E. 156,000 yuan
F. 159,000 yuan
G. 177,000 yuan
H. 168,100 yuan
I. 165,000 yuan
J. 150,100 yuan
Answer: A
The 'antinomy of bourgeois thought' referred to by Lukács is:

Options:
A. the contradiction between natural necessity and human free will
B. the contradiction between the rational capacity to understand the totality of the social and historical context and the impossibility of a holistic understanding of the given world itself
C. the contradiction between the rational capacity to understand individual phenomena and the holistic understanding of the given world itself
D. the contradiction between the socialization of production and the private ownership of means of production
E. the contradiction between the rational capacity to understand individual phenomena and the inability to grasp the totality of the social and historical context
F. the contradiction between the infinity of space-time forms and the rational pursuit of the beginning and limits of space-time
G. the contradiction between the possibility of the rational formal capacity to grasp the world and the impossibility of a holistic understanding of the given world itself
H. the contradiction between the possibility of the rational formal capacity to grasp the world and the inability to fully comprehend the totality of the social and historical context
I. the contradiction between the rational capacity to understand the totality of the social and historical context and the inability to grasp individual phenomena
J. the contradiction between the possibility of the rational formal capacity to grasp the world and the inability to fully comprehend the individual phenomena within the social and historical context
Answer: G
In Alain Robbe-Grillet's works 'The Coffee Pot' and 'The Beach,' the narrator is neither a character or spokesperson within the story nor the author, but rather an observer akin to a creator or God, who remains entirely objective and makes no moral or value judgments about the story and characters. This narrative perspective is known as:

Options:
A. internal focalization
B. objective external focalization
C. limited internal focalization
D. objective focalization
E. limited external focalization
F. zero focalization
G. external focalization
H. dispersed narration
Answer: G
The chromatin remodeling complex that can slide the DNA chain on the nucleosome and make DNA more accessible is ( )

Options:
A. SWI/SNF family (mutated form)
B. SWR1
C. SWI/SNF complex (inactive form)
D. SWI/SNF family (inactive)
E. SWI/SNF complex
F. SWI/SNF family (inactive form)
G. NuRD family
H. INO80 family
I. ISWI family
J. SWI/SNF family
Answer: J
Which of the following statements about Southern Song poetry is correct?

Options:
A. The life of the rural lower class is rarely reflected in Southern Song poetry.
B. In the early Southern Song period, resistance and northern expeditions were sometimes addressed, but the majority of poetry focused on personal emotions and nature, with a moderate number of patriotic poems emerging.
C. In the early Southern Song period, resistance and northern expeditions became minor themes in poetry, with a few patriotic poems emerging, but the main focus remained on traditional and courtly themes.
D. In the early Southern Song period, resistance and northern expeditions were often mentioned, but the majority of poetry focused on personal emotions and nature, with a significant but not overwhelming number of patriotic poems emerging.
E. In the early Southern Song period, resistance and northern expeditions became major themes in poetry, with a large number of patriotic poems emerging, making Song poetry a model that surpassed previous generations and had a significant impact on later generations, which was the main contribution of this period.
F. In the early Southern Song period, resistance and northern expeditions became frequent themes in poetry, with a considerable number of patriotic poems emerging, but the main focus was on personal and courtly themes.
G. In the early Southern Song period, resistance and northern expeditions were often mentioned, but the majority of poetry focused on personal emotions and nature, with a significant number of patriotic poems emerging, though not as the main focus.
H. Represented by Lu You, the revival poets broke free from the constraints of the Jiangxi poetry school and established their own styles.
I. In the early Southern Song period, resistance and northern expeditions were occasionally mentioned, but the majority of poetry focused on personal emotions and nature, with fewer patriotic poems emerging.
J. Poetic language began to trend towards being more popular, natural, and colloquial.
Answer: E
Given the code: import java.io.*; class Person{public static void print(){System.out.print(\"Person\");}} class Employee extends Person{public void print(){System.out.print(\"Employee\");}} class Manager extends Employee{public void print(){System.out.print(\"Manager\");}} public class Test{public static void main(String[] args){Manager man = new Manager(); Employee emp1 = new Employee(); Employee emp2 = (Employee)man; Person person = (Person)man; emp2.print(); System.out.print(\"#\"); person.print();}} What is the output of the above code?

Options:
A. Manager#Person#Manager
B. Manager#Person
C. Manager#Employee
D. Employee#Employee
E. Employee#Person#Manager
F. Manager#Employee#Manager
G. Employee#Person
H. Manager#Employee#Person
I. Manager#Manager
J. Employee#Manager
Answer: I
When \(x \to 0^+\), the following infinitesimals are correctly arranged from lower to higher order ( ).

Options:
A. \(\sin (\tan x), \ln (1 + \sqrt{x}), \sin x^2, e^{x^3} - 1\)
B. \(\ln (1 + \sqrt{x}), \sin (\tan x), e^{x^3} - 1, \sin x^2 \)
C. \(\sin (\tan x), \ln (1 + \sqrt{x}), e^{x^3} - 1, \sin x^2 \)
D. \(\ln (1 + \sqrt{x}), \sin x^2, e^{x^3} - 1, \sin (\tan x) \)
E. \(\ln (1 + \sqrt{x}), \sin x^2, \sin (\tan x), e^{x^3} - 1\)
F. \(\ln (1 + \sqrt{x}), e^{x^3} - 1, \sin (\tan x), \sin x^2 \)
G. \(\sin x^2, \sin (\tan x), e^{x^3} - 1, \ln (1 + \sqrt{x})\)
H. \(\ln (1 + \sqrt{x}), \sin (\tan x), \sin x^2, e^{x^3} - 1\)
I. \(\ln (1 + \sqrt{x}), \sin x^2, \sin (\tan x), e^{x^3} - 1 \)
Answer: H
A 5-year-old child presents with fever, chills, no sweating, nasal congestion and runny nose, mild cough, accompanied by abdominal distension and fullness, vomiting of sour and putrid substances, foul breath, stools with a sour and foul smell, short and yellow urine, red tongue with thick and greasy coating, slippery pulse. The syndrome is ()

Options:
A. Common Cold with Dampness
B. Wind-Cold Common Cold
C. Common Cold with Damp-Heat
D. Common Cold with Stagnation
E. Common Cold with Phlegm and Dampness
F. Damp-Heat Diarrhea
G. Summer Heat Common Cold
H. Wind-Heat Common Cold
I. Common Cold with Phlegm
J. Common Cold with Phlegm and Stagnation
Answer: D
( ) is the solution to the differential equation (y''+2y'+y=0).

Options:
A. (-xe^x)
B. (xe^x)
C. (xe^{-2x})
D. (xe^{-x})
E. (x^2e^{-2x} + xe^{-x})
F. (x^2e^{-x} + e^{-x})
G. (x^2e^{-x})
H. (xe^{-2x} + e^{-x})
I. (x^2e^{-x} + xe^{-x})
J. (x^2e^{-2x})
Answer: D
The patient, male, 24 years old and 60kg in weight, was burned on his head, face, neck, upper limbs, chest and abdomen. There were blisters on his face, and the wound was red, with apparent pain. The wounds on neck, two upper limbs, chest and abdomen were slightly wet, in red and white, with hypalgesia. What is the degree of burn of Mr. Zhang?

Options:
A. Extremely major burn
B. Severe to extremely major burn
C. Severe to moderate burn
D. Minor burn
E. Severe burn
F. Major burn
G. Moderate to severe burn
H. Severe to major burn
I. Moderate to major burn
J. Moderate burn
Answer: F
To obtain a statistical model of future growth that adjusts for two factors; incomplete catching up and continued economic growth in high income countries, Prof. Sachs discusses a "simple rule of thumb" for finding an average converging growth rate. If the United States has an income level of $50,000 per person per year and a growth rate of 1% per annum in person terms, then a country with an income level of $12,500 per person per year is approximately growing ______.

Options:
A. 3.9 percentage points
B. 2.4 percentage points
C. 3.6 percentage points
D. 3.2 percentage points
E. 4.2 percentage points
F. 4.0 percentage points
G. 3.8 percentage points
H. 3.4 percentage points
I. 1.4 percentage points
J. 2.8 percentage points
Answer: G