MikaStars39/nano-eval huggingface dataset:
The common-mode rejection ratio of the first stage amplification circuit in a three-op-amp differential circuit is determined by ( ).

Options:
A. the absolute value of the difference in the common-mode rejection ratio of A1 and A2 themselves
B. all of the above
C. the average of A1 and A2's common-mode rejection ratios
D. the sum of A1 and A2's common-mode rejection ratios
E. the product of A1 and A2's common-mode rejection ratios
F. the square root of the product of A1 and A2's common-mode rejection ratios
G. the size of A2's common-mode rejection ratio
H. the size of A1's common-mode rejection ratio
I. The difference in the common-mode rejection ratio of A1 and A2 themselves
J. input resistance
Answer: I
In 1989, Francis Fukuyama, then an advisor to the U.S. State Department, put forward the so-called 'end of history' thesis, arguing that the liberal democratic system practiced in the West is the 'end point of mankind's ideological evolution' and the 'final form of human government.' However, 20 years of history have shown us that what has ended is not history, but the West's sense of superiority. On November 9, 2009, the 20th anniversary of the fall of the Berlin Wall, the BBC published a survey of 27 countries, with more than half of the respondents dissatisfied with the capitalist system. The bankruptcy of the 'end of history' thesis illustrates

Options:
A. The failures of specific political systems can overshadow the overall progress of human civilization
B. People's understanding of a certain stage of social development cannot replace the understanding of the entire process of social development
C. The failures of specific political systems can sometimes reflect the overall direction of human civilization
D. Social laws and natural laws both operate as blind, unconscious forces
E. The special forms of social development in some countries cannot negate the universal laws of historical development
F. The tortuousness of human historical development can sometimes slow down but not reverse the forward progress of history
G. The tortuousness of human historical development does not change the forward progress of history
H. The tortuousness of human historical development can sometimes alter the forward progress of history
I. The tortuousness of human historical development can sometimes reverse the forward progress of history
J. The tortuousness of human historical development can sometimes divert but not halt the forward progress of history
Answer: G
The patient has had swollen and painful joints for two months, with difficulty in flexion and extension, aversion to wind and cold. Despite treatment, the symptoms have not improved and have worsened with local joint heat, dry mouth, and constipation. The pulse is slippery and slightly rapid, and the tongue coating is thin and yellow. The main prescription to be used is ()

Options:
A. Xi Jiao San
B. Gui Zhi Shao Yao Zhi Tang
C. Gui Zhi Shao Yao Zhi Mu Tang
D. Gui Zhi Shao Yao Mu Tang
E. Gui Zhi Shao Yao Mu Zhi Tang
F. Fang Feng Tang
G. Bai Hu Gui Zhi Tang
H. Gui Zhi Bai Shao Zhi Mu Tang
I. Yi Yi Ren Tang
J. Gui Zhi Mu Zhi Shao Yao Tang
Answer: C
When the act of buying and selling goods is separated from the act of paying for them, money is no longer a medium of exchange in the circulation of goods, but becomes an independent link to complete the exchange. At this point, money functions as ().

Options:
A. medium of circulation
B. measure of value
C. medium of deferred payment
D. store of wealth
E. medium of deferred exchange
F. means of payment
Answer: F
If we tetrahedralize a regular triangular prism, how many ways of tetrahedralization are legal? (Each vertex is different)

Options:
A. 5
B. 8
C. 12
D. 10
E. 11
F. 4
G. 6
H. 7
I. 9
J. 3
Answer: G
For the measurement of a 10keV γ-ray, a significant peak was observed at 20keV. The correct analysis for these counts is

Options:
A. It is possible that two events of partial energy deposition occurred, and the system combined these two 10keV counts into one 20keV count.
B. It is possible that a single event of complete energy deposition occurred, and the system incorrectly recorded it as a 20keV count.
C. The source of this peak is mostly due to environmental radiation
D. It is possible that two events of partial energy deposition occurred simultaneously, and the system combined these two 10keV counts into one 20keV count.
E. Exceeds the maximum energy, it is a system error, these counts should be removed
F. It is possible that two events of complete energy deposition occurred with a slight delay, and the system combined these two 10keV counts into one 20keV count.
G. It is possible that two events of complete energy deposition occurred simultaneously, and the system combined these two 10keV counts into one 20keV count.
H. It is possible that two events of complete energy deposition occurred with a slight overlap, and the system combined these two 10keV counts into one 20keV count.
I. It is possible that two events of complete energy deposition occurred sequentially, and the system combined these two 10keV counts into one 20keV count.
Answer: G
A 23-year-old female has had acute tonsillitis for 3 weeks. She wakes up with eyelid edema and a urine output of 500 ml/day. The type of water and sodium metabolic disorder that the patient is more likely to develop is

Options:
A. Hypovolemic hypernatremia
B. Hypervolemic hyponatremia with decreased urine output
C. Hypovolemic hypernatremia with decreased urine output
D. Hypervolemic hypernatremia with decreased urine output
E. Hypervolemic hypernatremia
F. Hypovolemic hyponatremia
G. Normovolemic hypernatremia
H. Hypervolemic hyponatremia
I. Normovolemic hyponatremia
J. Hypervolemic hypernatremia with increased urine output
Answer: H
Which of the following input/output methods is processed through the CPU and avoids the disadvantages of 'peripheral devices always needing to be ready' and 'the CPU having to wait during processing?'

Options:
A. Interrupt Transfer
B. Unconditional Transfer
C. Interrupt Method
D. Interrupt Request Transfer
E. Polling Transfer
F. Interrupt Transfer Method
G. DMA Method
H. Polling Method
I. Interrupt Request Method
J. Direct Memory Access Method
Answer: C
The general solution of the equation $y' + y \tan x = \sin (2x)$ is

Options:
A. $y=2C \cos x - \cos x$
B. $y=2C \cos x - 2 \cos^2 x$
C. $y=2C \cos x - 3 \cos^2 x$
D. $y= \cos x -2C \cos^2 x$
E. $y= \cos x -C \cos^2 x$
F. $y=2C \cos x - \cos^2 x$
G. $y=C \cos x - \cos x$
H. $y=C \cos x - \cos^2 x$
I. $y=2C \cos x - \cos^2 x - \cos x$
J. $y=C \cos x -2 \cos^2 x$
Answer: J
$int {{{{x^2}} over {{{left( {1 - x} right)}^{100}}}}} dx = left( {} right)$

Options:
A. ${1 over {97}}{1 over {{{left( {1 + x} right)}^{97}}}} + {1 over {49}}{1 over {{{left( {1 + x} right)}^{98}}}} - {1 over {99}}{1 over {{{left( {1 - x} right)}^{99}}}} + C$
B. ${1 over {97}}{1 over {{{left( {1 - x} right)}^{97}}}} + {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} - {1 over {100}}{1 over {{{left( {1 - x} right)}^{100}}}} + C$
C. ${1 over {97}}{1 over {{{left( {1 + x} right)}^{97}}}} - {1 over {49}}{1 over {{{left( {1 + x} right)}^{98}}}} + {1 over {99}}{1 over {{{left( {1 + x} right)}^{99}}}} + C$
D. ${1 over {97}}{1 over {{{left( {1 - x} right)}^{97}}}} + {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} - {1 over {99}}{1 over {{{left( {1 + x} right)}^{99}}}} + C$
E. ${1 over {97}}{1 over {{{left( {1 - x} right)}^{97}}}} + {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} - {1 over {99}}{1 over {{{left( {1 - x} right)}^{99}}}} + C$
F. ${1 over {97}}{1 over {{{left( {1 - x} right)}^{97}}}} - {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} + {1 over {99}}{1 over {{{left( {1 - x} right)}^{99}}}} + C$
G. ${1 over {97}}{1 over {{{left( {1 - x} right)}^{97}}}} + {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} - {1 over {99}}{1 over {{{left( {1 - x} right)}^{100}}}} + C$
H. ${1 over {97}}{1 over {{{left( {1 - x} right)}^{97}}}} + {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} - {1 over {101}}{1 over {{{left( {1 - x} right)}^{101}}}} + C$
I. ${1 over {97}}{1 over {{{left( {1 - x} right)}^{97}}}} - {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} + {1 over {98}}{1 over {{{left( {1 - x} right)}^{99}}}} + C$
J. ${1 over {97}}{1 over {{{left( {1 + x} right)}^{97}}}} + {1 over {49}}{1 over {{{left( {1 - x} right)}^{98}}}} - {1 over {99}}{1 over {{{left( {1{rm{ + }}x} right)}^{99}}}} + C$
Answer: F
When designing an FIR filter using a window function, which of the following statements is correct?

Options:
A. Increasing the length of the window function can significantly change the relative ratio of the main lobe to the side lobes
B. Increasing the length of the window function cannot change the relative ratio of the main lobe to the side lobes
C. None of the above statements are correct
D. Increasing the length of the window function can increase the ratio of the main lobe to the side lobes
E. Increasing the length of the window function can decrease the ratio of the main lobe to the side lobes
F. Increasing the length of the window function can slightly affect the ratio of the main lobe to the side lobes
G. Increasing the length of the window function can moderately decrease the ratio of the main lobe to the side lobes
H. Increasing the length of the window function can slightly decrease the ratio of the main lobe to the side lobes
I. Increasing the length of the window function can moderately increase the ratio of the main lobe to the side lobes
J. Increasing the length of the window function can slightly increase the ratio of the main lobe to the side lobes
Answer: B
Let `A` be a third-order matrix, and `alpha_i (i=1,2,3)` be 3-dimensional non-zero column vectors. If `Aalpha_i = i*alpha_i (i=1,2,3)`, which of the following conclusions is correct?

Options:
A. If P=(2alpha_1, -alpha_2, 4alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&3end{array}} right);
B. If P=(2alpha_1, -alpha_2, 5alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&4end{array}} right);
C. If P=(alpha_1, 2alpha_2, 3alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&1&00&0&1end{array}} right);
D. If P=(2alpha_1, -alpha_2, 6alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&3end{array}} right);
E. If P=(alpha_3, alpha_2, alpha_1), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&3end{array}} right).
F. If P=(2alpha_1, -alpha_2, 5alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&3end{array}} right);
G. If P=(2alpha_1, -alpha_2, 5alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&3&00&0&2end{array}} right);
H. If P=(2alpha_1, -alpha_2, 7alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&3end{array}} right);
I. If P=(alpha_1, alpha_1+alpha_2, 3alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&3end{array}} right);
J. If P=(2alpha_1, -alpha_2, 4alpha_3), then P^{-1}AP=left( {begin{array}{*20{c}} 1&0&00&2&00&0&4end{array}} right);
Answer: F
Given the coefficient matrix of the controlled system (sum(A, b, c^T)) as ( A=left[ begin{matrix} -5 & 0 1 & 0 end{matrix} right] , b=left[ begin{matrix} 100 0 end{matrix} right], c^T=left[ begin{matrix} 0 &1 end{matrix} right] ), design a reduced-order observer so that the poles of the observer are -10. Which of the following observers meets the requirement?

Options:
A. (dot{hat{x}_1}=-10hat{x}_1+100u+10dot{y})
B. (dot{hat{x}_1}=-10hat{x}_1+100u+2dot{y})
C. (dot{hat{x}_1}=-10hat{x}_1+100u-4dot{y})
D. (dot{hat{x}_1}=-10hat{x}_1+100u-10dot{y})
E. (dot{hat{x}_1}=-10hat{x}_1+100u+5dot{y})
F. (dot{hat{x}_1}=-10hat{x}_1+100u+3dot{y})
G. (dot{hat{x}_1}=-10hat{x}_1+100u-5dot{y})
H. (dot{hat{x}_1}=-10hat{x}_1+100u+6dot{y})
I. (dot{hat{x}_1}=-10hat{x}_1+100u+4dot{y})
J. (dot{hat{x}_1}=-10hat{x}_1+100u-2dot{y})
Answer: E
Assuming the signal $x(t)=(\frac{\sin(50\pi t)}{\pi t})^2$ has a Fourier transform result of $X(j\omega)$, with a sampling frequency $\omega_s=150\pi$, the sampled signal is $g(t)$, and the Fourier transform of $g(t)$ is $G(j\omega)$. If $G(j\omega)$ is required to satisfy: $G(j\omega)=75X(j\omega) \quad for \quad |\omega|\leq\omega_0$, what is the maximum value of $\omega_0$?

Options:
A. 50\pi
B. 37.5\pi
C. 150\pi
D. 125\pi
E. 43.75\pi
F. 62.5\pi
G. 75\pi
H. 25\pi
I. 87.5\pi
J. 100\pi
Answer: A
Among the following differential equations, ( ) is a homogeneous equation.

Options:
A. ( xy' = y(ln y - ln x + 2) )
B. ( xy' + {y over x} - x = 0 )
C. ( xy' = y(ln y - ln x + 1) )
D. ( xy' = y(ln y + ln x - 2) )
E. ( xy' = y(ln y - ln x - 1) )
F. ( xy' = y(ln y - ln x) )
G. ( y - y' = 1 + xy' )
H. ( y' + {y over x} = {1 over { { x^2}}} )
I. ( xy' = y(ln y + ln x) )
J. ( xy' = y(ln y + ln x - 1) )
Answer: F
The material basis for the cyclical nature of capitalist economic crises is

Options:
A. the periodic fluctuation in fixed capital investment
B. the periodic fluctuation in production capacity
C. the periodic fluctuation in production technology
D. the increase in the degree of production concentration
E. large-scale renewal of fixed capital
F. the periodic fluctuation in consumer spending
G. the periodic renewal of production technology
H. the expansion of domestic effective demand
I. the increasing socialization of production
J. the periodic fluctuation in investment spending
Answer: E
(x = 2) is the ( ) discontinuity point of the function (f(x) = {e^ { { 1 over {x - 2}}}}).

Options:
A. oscillating
B. removable
C. essential
D. jump
E. infinite
Answer: E
"New forces and new doctrines have arisen to challenge the orthodox liberalism of the 19th century. Utopian and other socialists have fired several skirmish shots, now it is the turn of the heavy artillery." What does the "heavy artillery" refer to?

Options:
A. Classical Liberalism
B. Scientific Socialism
C. Historical Materialism
D. Renaissance Movement
E. Neoliberalism
F. Utopian Socialism
G. Marxism
H. Classical Marxism
I. Social Darwinism
Answer: B
The antibody that can cause the dissolution and destruction of fetal Rh red blood cells is ( )

Options:
A. Monoclonal immune IgG
B. Tetravalent immune IgG
C. Natural antibody IgM
D. Cell-binding IgE
E. Univalent immune IgG
F. Trivalent immune IgG
G. Immune antibody IgM
H. Bivalent immune IgG
I. Monovalent immune IgG
J. Divalent immune IgG
Answer: J
Company A is a general taxpayer of value-added tax (VAT), subject to a VAT rate of 16%. In 2×16, it constructed a production line using its own resources. It purchased construction materials for 3 million yuan, with a VAT input tax of 480,000 yuan, all of which were used during the construction period. Additionally, it used a batch of raw materials with a book value of 3.6 million yuan (no provision for impairment loss), and a taxable price of 4 million yuan; incurred construction personnel salaries of 200,000 yuan, capitalized borrowing costs of 100,000 yuan, external professional service fees of 30,000 yuan, employee training fees of 10,000 yuan, and load joint trial run testing fees of 60,000 yuan, and earned 20,000 yuan during the trial run period. Assuming the production line has reached its intended usable state, and ignoring other related taxes and fees except for VAT, the book value of the production line is ( ) million yuan.

Options:
A. 695
B. 703
C. 702
D. 1564
E. 701
F. 698
G. 700
H. 748
I. 699
J. 697
Answer: J
Company A signed a loan contract with Bank B, agreeing that the loan period would be from March 25, 2010 to March 24, 2011. Bank B did not assert any claims against Company A until April 15, 2013, when Bank B transferred the claim to Company C and notified Company A. On May 16, 2013, Company D purchased and took over Company A through a public auction. Which of the following options is correct?

Options:
A. Since Bank B notified Company A of the transfer of the claim, Company D can assert the defense of the statute of limitations against Company C, but only if the claim was not interrupted on April 15, 2013
B. Since Bank B notified Company A of the transfer of the claim, Company A can assert the defense of the statute of limitations against Company C
C. Since Bank B notified Company A of the transfer of the claim, Company D cannot assert the defense of the statute of limitations against Company C
D. Company D has the right to assert the defense of the statute of limitations against Company C
E. Since Bank B notified Company A of the transfer of the claim, Company D can assert the defense of the statute of limitations against Company C, but only if the claim was not interrupted on May 16, 2013
F. Since Bank B notified Company A of the transfer of the claim, Company A cannot assert the defense of the statute of limitations against Company C
G. The statute of limitations for Company A's debt was interrupted on April 15, 2013
H. Since Bank B notified Company A of the transfer of the claim, Company D can assert the defense of the statute of limitations against Company C, but only if the claim was not interrupted
I. Since Bank B notified Company A of the transfer of the claim, Company D can assert the defense of the statute of limitations against Company C, but only if the claim was not interrupted on March 25, 2013
J. The statute of limitations for Company D's debt was interrupted on May 16, 2013
Answer: D
In the historical record, Mao Jiao persuaded King Ying Zheng of Qin with his eloquence, ultimately changing the king's mind. Among the points made by Mao Jiao, which one do you think ultimately moved King Ying Zheng, who had already killed 27 other persuaders?

Options:
A. Mao Jiao pointed out that the king now had only his mother left, appealing to his sense of family
B. Mao Jiao suggested that if King Ying Zheng did not alter his approach, it would lead to a loss of support from his own advisors and generals, weakening his rule.
C. Mao Jiao's willingness to face death moved the king
D. Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to internal rebellion, threatening the stability of the Qin state.
E. Mao Jiao's humiliation of King Ying Zheng made the king repent
F. Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to a loss of support from the nobility, weakening his position among the six states.
G. Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to a loss of support from the nobility, weakening his position within the Qin state.
H. Mao Jiao emphasized the importance of mercy and forgiveness, suggesting that it would make the king appear more humane and just.
I. Mao Jiao pointed out that if King Ying Zheng did not change his ways, his reputation among the six states would be damaged, affecting the unification of Qin.
J. Mao Jiao argued that if King Ying Zheng continued on his current path, it would lead to a loss of support from the people, weakening his authority.
Answer: I
The transfer function of the system is \(g(s)=\dfrac{s^2+3s+2}{s(s^2+7s+12)}\). Perform partial fraction decomposition on it, and the result is

Options:
A. \(\dfrac{2/3}{s+3}+\dfrac{3/2}{s+4}\)
B. \dfrac{1/6}{s}+\dfrac{2/3}{s+3}-\dfrac{3/2}{s-4}
C. \(\dfrac{1/6}{s}+\dfrac{2/3}{s+3}-\dfrac{3/2}{s+4}\)
D. \(\dfrac{1/6}{s}+\dfrac{2/3}{s-3}+\dfrac{3/2}{s-4}\)
E. \(\dfrac{1/6}{s}+\dfrac{2/3}{s-3}-\dfrac{3/2}{s-4}\)
F. \(\dfrac{1/6}{s}+\dfrac{2/3}{s-3}-\dfrac{3/2}{s+4}\)
G. \(\dfrac{1/6}{s}-\dfrac{2/3}{s-3}+\dfrac{3/2}{s+4}\)
H. \dfrac{1/6}{s}-\dfrac{2/3}{s-3}-\dfrac{3/2}{s-4}
I. \(\dfrac{1/6}{s}-\dfrac{2/3}{s-3}-\dfrac{3/2}{s+4}\)
J. \(\dfrac{1/6}{s}-\dfrac{2/3}{s+3}+\dfrac{3/2}{s+4}\)
Answer: J
Ms. Li's credit card billing date is the 10th of every month, and the due repayment date is the 30th of every month. On March 10th, the bank statement shows that Ms. Li had a consumption record of 2000 yuan on March 2nd. If Ms. Li repays the minimum payment of 200 yuan before March 30th, then on April 10th, the revolving interest shown on the bill is ( ) yuan.

Options:
A. 35.9 yuan
B. 9.9 yuan
C. 33.9 yuan
D. 25 yuan
E. 38.4 yuan
F. 38.9 yuan
G. 39.9 yuan
H. 36.9 yuan
I. 37.9 yuan
J. 34.9 yuan
Answer: I
$\int_{{}}^{{}}{\frac{1+\sin x}{1+\cos x}dx}=$

Options:
A. $\tan \frac{x}{2}+\ln (1-\cos \frac{x}{2})+C$
B. $\tan rac{x}{2}-\ln (1+\cos rac{x}{2})+C$
C. $\tan \frac{x}{2}+\ln (1-\cos x)+C$
D. $\tan \frac{x}{2}-\ln (1-\cos x)+C$
E. $\tan \frac{x}{2}-\ln (1+\cos x)+C$
F. $\tan \frac{x}{2}-\ln (1-\sin x)+C$
G. $\tan \frac{x}{2}-\ln (1+\cos \frac{x}{2})+C$
H. $\tan rac{x}{2}+\ln (1+\cos x)+C$
I. $\tan rac{x}{2}+\ln (1+\cos rac{x}{2})+C$
J. $\tan \frac{x}{2}-\ln (1+\sin x)+C$
Answer: E
Bacteria that may appear in liquid culture medium, starting to become turbid, showing flocculent precipitation after 24 hours, forming a bacterial film after 48 hours, and the bacterial film sinks in a stalactite-like manner when gently shaken could be:

Options:
A. Serratia marcescens
B. Proteus vulgaris
C. Yersinia pestis
D. Enterobacter aerogenes
E. Yersinia enterocolitica
F. Yersinia pseudotuberculosis
G. Yersinia ruckeri
Answer: C
A 30-year-old female patient was admitted to the hospital with fever, excessive sweating, and joint pain for one month. One month ago, she developed fever without obvious cause, with a body temperature of 38-39°C, intermittent fever, profuse sweating after fever, and migratory pain in large joints. Half a month later, the pain was localized to both knee joints. She had been intermittently treated with cephalosporin antibiotics, but it was ineffective. The patient's occupation involves collecting animal hides (mainly from cattle and sheep). Physical examination: T 38.7°C, clear consciousness, enlarged lymph nodes in the neck, inguinal, and submandibular regions without tenderness, soft abdomen, liver 3 cm below the costal margin, spleen 1 cm below the costal margin. Laboratory tests: Complete blood count: WBC 4.5×10^9/L, L 45%, Hb 110g/L; Liver function: ALT 350U/L, AST 140U/L. To rapidly confirm the diagnosis, which of the following tests should be performed immediately?

Options:
A. ASO
B. Brucella agglutination test with cross-reactivity control
C. Blood culture + sensitivity
D. Brucella agglutination test
E. Brucella agglutination test with false-positive control
F. ESR
G. Brucella PCR test
H. PPD test
I. Brucella serology
J. Brucella agglutination test with false-negative control
Answer: D
Student Xiao Wang from Class 1, Grade 2 drew a cartoon on the blackboard and wrote 'The class leader is the teacher's little follower.' After seeing it, Teacher Feng, the homeroom teacher, found that the cartoon truly captured his features and believed that Xiao Wang had a talent for drawing. Therefore, he asked Xiao Wang to be the art editor for the class bulletin board and class magazine, and arranged for the class leader to assist him. With the help of the class leader, Xiao Wang utilized his talent and completed the tasks outstandingly, overcoming his tendency to be lax. Later, he even fulfilled his dream of attending a university with an art major. The main moral education method used by Teacher Feng is ()

Options:
A. Principle of Combining Individualized Instruction with Strengths Development
B. Principle of Combining Individual Education with Collective Education
C. Principle of Combining Individualized Instruction with Respect for Students
D. Principle of Combining Individualized Instruction with Group Collaboration
E. Principle of Combining Strict Requirements with Respect for Students
F. Principle of Guidance
G. Principle of Combining Strengths Development with Discipline
H. Principle of Combining Strengths Development with Respect for Students
I. Principle of Consistency and Continuity of Educational Influence
J. Principle of Building on Strengths and Correcting Weaknesses
Answer: J
Which of the following methods could potentially be a cure for AIDS?

Options:
A. Gene editing to modify HIV receptor genes
B. Developing protective antibody drugs for HIV
C. Gene editing to disable HIV receptor genes
D. Injection of human immunoglobulin
E. Gene editing to overexpress HIV receptor genes
F. Cocktail therapy
G. Knockout of HIV receptor genes
H. Gene editing to enhance HIV receptor genes
I. Gene editing to inhibit HIV receptor genes
J. Vaccination against HIV
Answer: G
In the actual crystallization of metals, the grain size is controlled by adjusting the ratio of nucleation rate N to growth rate G. Under which of the following conditions can fine grains be obtained?

Options:
A. when N/G is very small
B. when N/G is slightly large
C. when N/G is moderately small
D. when N/G is moderately large
E. when N/G is significantly large
F. when N/G is significantly small
G. when N/G is moderate
H. when N/G is constant
I. when N/G is very large
J. when N/G is slightly small
Answer: I
There is a large batch of mixed seeds, among which the good seeds account for ( frac{1}{6} ). Now, 6000 seeds are randomly selected from it. What is the probability that the proportion of good seeds in these seeds differs from ( frac{1}{6} ) by less than 1%?

Options:
A. 0.9674
B. 0.955
C. 0.9648
D. 0.9
E. 0.9524
F. 0.945
G. 0.9776
H. 0.975
I. 0.95
J. 0.9624
Answer: J
"The Russian Revolution proved to be the savior of liberal capitalism: on the one hand, it helped the West win the Second World War against Hitler's Germany, and on the other hand, paradoxically, by the Soviet Union's apparent immunity to the Great Depression, it prompted people to abandon their faith in the orthodoxy of the free market, providing the impetus for capitalism to reform itself." What does the "self-reform of capitalism" in the material refer to?

Options:
A. Promoting neoliberal policies
B. State intervention in the economy
C. Reducing state intervention in the economy
D. Increasing government regulation of the economy
E. Increasing state ownership of key industries
F. Expanding the role of international trade
G. Abandoning the free market system
H. Developing a 'mixed economy'
I. Reducing state ownership of key industries
J. Increasing private sector control over the economy
Answer: B
The volume of a vase obtained by rotating the curve $y=2+sin x$ from $x=0$ to $x=5$ around the $x$-axis is approximately

Options:
A. 79.815
B. 79.915
C. 79.515
D. 33.666
E. 71.113
F. 79.115
G. 25.501
H. 79.615
I. 78.115
J. 80.115
Answer: J
Let the 3rd order matrix \( A = (\alpha_1, \alpha_2, \alpha_3), B = (\alpha_2 - 2\alpha_3, \alpha_1, \alpha_2) \), if the determinant of \( A \) is \( |A| = 2 \), then the determinant of \( B \) is \( |B| = \) ( )

Options:
A. 2
B. -6
C. -4
D. -1
E. 4
F. -2
G. -8
H. -12
I. -10
J. 8
Answer: C
Let `A` be a 3x3 matrix. By swapping the 1st and 2nd columns of `A`, we get `B`. Then, by adding the 2nd column of `B` to the 3rd column, we get `C`. The invertible matrix `Q` that satisfies `AQ=C` is ( )

Options:
A. [left( {begin{array}{*{20}{c}}0&1&11&0&00&0&1end{array}} right)]
B. [left( {begin{array}{*{20}{c}}0&1&11&0&10&0&1end{array}} right)]
C. [left( {begin{array}{*{20}{c}}0&1&11&0&00&1&0end{array}} right)]
D. [left( {begin{array}{*{20}{c}}0&1&01&0&01&0&1end{array}} right)]
E. [left( {begin{array}{*{20}{c}}0&1&01&0&00&1&1end{array}} right)]
F. [left( {begin{array}{*{20}{c}}0&1&11&0&10&1&1end{array}} right)]
G. [left( {begin{array}{*{20}{c}}0&1&01&0&10&0&1end{array}} right)]
H. [left( {begin{array}{*{20}{c}}0&1&01&0&10&1&0end{array}} right)]
I. [left( {begin{array}{*{20}{c}}0&1&11&0&00&1&1end{array}} right)]
J. [left( {begin{array}{*{20}{c}}0&1&11&0&10&0&0end{array}} right)]
Answer: A
The spark that ignited the Cultural Revolution was ( ).

Options:
A. The publication of 'A Critique of the New Historical Play 'Hai Rui Dismissed from Office' in the People's Daily'
B. Wu Han published 'Hai Rui Dismissed from Office'
C. The publication of 'Comments on the New Historical Play 'Hai Rui Dismissed from Office''
D. The publication of 'A Critique of the New Historical Play 'Hai Rui Dismissed from Office''
E. The publication of 'A Critique of the Bourgeois Historiography in the Play 'Hai Rui Dismissed from Office'''
F. The CPC Central Committee issued the 'May 16 Notice'
G. The publication of 'A Critique of the Bourgeois Historiography in the Play 'Hai Rui Dismissed from Office''
H. The publication of 'Firing at the Headquarters - My Big Character Poster'
I. The publication of 'A Critique of the Bourgeois Historiography in the New Historical Play 'Hai Rui Dismissed from Office''
J. The publication of 'A Critique of the New Historical Play 'Hai Rui Dismissed from Office' in the Red Flag magazine'
Answer: C
The international strategic pattern during World War II was ( ).

Options:
A. Dual-polar Pattern
B. Tri-polar Pattern
C. Unipolar Pattern
D. Quad-polar Pattern
E. Multipolar Pattern
F. Bipolar Pattern
G. Polycentric Pattern
Answer: F
Deng Xiaoping said: That event (the Cultural Revolution), although it seemed to be a bad thing, was ultimately a good thing. Why ( )

Options:
A. It led to a more stable and unified political system
B. It highlighted the need for political reforms and better governance
C. The Cultural Revolution was in line with China's reality
D. It resulted in a stronger emphasis on ideological purity and class struggle
E. The Cultural Revolution was Mao Zedong's main achievement
F. It led to significant economic growth and development
G. It prompted people to reflect on the importance of maintaining a strong ideological stance
H. It prompted people to think about the importance of maintaining a strong ideological stance
I. It prompted people to think about where our shortcomings lie
J. The Cultural Revolution solved China's practical problems
Answer: I
Let (A, B) be n×n matrices, then the solution space of the linear equation system (begin{pmatrix} A B end{pmatrix} mathbf{x} = 0) is

Options:
A. the zero space
B. the sum of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
C. the Cartesian product of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
D. the solution space of ( ABmathbf{x} = 0)
E. the direct sum of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
F. the union of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
G. the product of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
H. the intersection of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
I. the span of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
J. the difference of the solution spaces of ( Amathbf{x} = 0) and (Bmathbf{x} = 0)
Answer: H
Given that $\Omega$ is bounded by the planes $z=0, z=1$ and the surface $x^2 + y^2 = 2$, then the triple integral $\iiint\limits_{\Omega} \left| z - \sqrt{x^2 + y^2} \right| dxdydz =$

Options:
A. $\\frac{1}{6}(8\\sqrt{2}-5)\\pi$
B. $\\frac{1}{6}(8\\sqrt{2}-8)\\pi$
C. $\frac{1}{6}(4\sqrt{2}-5)\pi$
D. $\\frac{1}{6}(8\\sqrt{2}-7)\\pi$
E. $\\frac{1}{6}(4\\sqrt{2}-3)\\pi$
F. $\\frac{1}{6}(8\\sqrt{2}-4)\\pi$
G. $\frac{1}{3}(8\sqrt{2}-5)\pi$
H. $\\frac{1}{6}(8\\sqrt{2}-6)\\pi$
I. $\frac{1}{3}(4\sqrt{2}-5)\pi$
J. $\\frac{1}{6}(8\\sqrt{2}-9)\\pi$
Answer: A
Li is a graduate of a regular university, 23 years old, and has not yet found employment. According to the Constitution and laws, which of the following options regarding Li's rights and obligations is correct?

Options:
A. Has the right to vote and be elected if a citizen
B. Has the right to receive unemployment benefits if unemployed
C. Has the right to receive unemployment benefits
D. Has the right to rest
E. Has the right to vote and be elected
F. Has the right to vote and be elected if over 18 years old
G. Cannot be conscripted for active military service
H. No need to bear the obligation of taxation
I. Has the right to vote and be elected if registered
J. Has the right to receive unemployment benefits if employed
Answer: E
Through the relationship between things in commodity exchange, Marx's labor value theory reveals the scientific connotation of commodity value, its main views include

Options:
A. Concrete labor is the entity of commodity value
B. Value is the general human labor accumulated in commodities
C. Labor is the sole source of social wealth
D. Value is the specific human labor congealed in commodities
E. Value is the general human labor infused in commodities
F. Value is the abstract human labor congealed in commodities
G. Value is the general human labor congealed in commodities
H. Value essentially reflects the social relations between producers
I. Value is the general human labor crystallized in commodities
J. Value is the general human labor embodied in commodities
Answer: G
The criterion for distinguishing synthetic a priori judgments is __.

Options:
A. universally and necessarily true and independent of experience or adds to the content of knowledge
B. universally and necessarily true and independent of experience and adds to the content of knowledge
C. universally and necessarily true and independent of experience
D. universally and necessarily true
E. universally and necessarily true and adds to the content of knowledge
F. universally and necessarily true or adds to the content of knowledge
G. universally and necessarily true or independent of experience and adds to the content of knowledge
H. universally and necessarily true or independent of experience
I. independent of experience
J. adds to the content of knowledge
Answer: E
In the recursive process of calculating next[j+1] through next[j], next[j+1] == next[j] + 1 if and only if:

Options:
A. P[j] = P[next[j] + 3]
B. P[j] = P[next[j] - 1]
C. P[j] = P[next[j] + 1]
D. j = 0
E. P[j] = P[next[j] + 2]
F. T[j] = P[j]
G. P[j] = P[next[j]]
H. P[j] = P[next[j] - 2]
I. P[j] = P[next[j] - 3]
Answer: G
A person deposits money in the bank with an interest rate of 6%, compounded annually. If 2000 yuan is deposited at the beginning of each year for 10 years, the principal and interest at the end of the 10th year will be ().

Options:
A. 20000 yuan
B. 27933 yuan
C. 27843.5 yuan
D. 21200 yuan
E. 27943 yuan
F. 27843 yuan
G. 27963 yuan
H. 27863 yuan
I. 26943 yuan
J. 26362 yuan
Answer: E
A single-turn circular coil with radius (R) carries a current (I). If the wire is bent into a planar circular coil with (N = 2) turns, keeping the wire length unchanged and the current the same, the magnetic field strength at the center of the coil and the magnetic moment of the coil are, respectively, of the original:

Options:
A. 4 times and 1/7 times;
B. 4 times and 1/9 times;
C. 4 times and 1/4 times;
D. 2 times and 1/2 times;
E. 2 times and 1/4 times;
F. 4 times and 1/5 times;
G. 4 times and 1/6 times;
H. 4 times and 1/3 times;
I. 4 times and 1/8 times;
J. 4 times and 1/2 times;
Answer: J
The function \( y = (x - 3)e^x + C_1x^2 + C_2x + C_3 \) satisfies a differential equation ( ).

Options:
A. \( y''' = xe^x \)
B. \( y'' - 4y = 0 \)
C. \( y'' + y' = x + e^x \)
D. \( y'' + y' = e^x \)
E. y''' = 2xe^x - 3
F. \( y'' + y' = xe^x \)
G. y''' = 2xe^x
H. \( y'' + y' - 2y = 0 \)
I. \( y'' + y' = 2xe^x \)
J. \( y'' + y = x + \cos x \)
Answer: A
The new features of the American Investment Agreements after the 1990s include ()

Options:
A. Reform the procedural rules of investment dispute settlement, strengthen the transparency and moderately reduce the restrictions on abuse of litigation
B. Reform the procedural rules of investment dispute settlement, strengthen the transparency but maintain the restrictions on abuse of litigation
C. Reform the procedural rules of investment dispute settlement, strengthen the transparency but reduce the restrictions on abuse of litigation
D. Reform the procedural rules of investment dispute settlement, strengthen the transparency and restrictions on abuse of litigation
E. Reform the procedural rules of investment dispute settlement, strengthen the transparency and reduce the restrictions on abuse of litigation
F. Start to emphasize a reasonable balance between protecting investors and safeguarding the sovereignty of the host country
G. Reform the procedural rules of investment dispute settlement, but weaken the transparency and increase the restrictions on abuse of litigation
H. Strengthening environment and labour rights clause
I. Continue to retain the umbrella clause
J. Reform the procedural rules of investment dispute settlement, strengthen the transparency and moderately increase the restrictions on abuse of litigation
Answer: D
The system of equations ( left{ {matrix{ {lambda {x_1} + {x_2} + {x_3} = 1} cr { { x_1} + lambda {x_2} + {x_3} = 1} cr {x + {x_2} + lambda {x_3} = 1} cr} } right. ) has a unique solution, then ( )

Options:
A. ( lambda ne - 1 ) and ( lambda ne 3 )
B. ( lambda ne - 1 ) and ( lambda ne - 4 )
C. ( lambda ne - 1 ) and ( lambda ne 0 )
D. ( lambda ne - 1 ) and ( lambda ne - 3 )
E. ( lambda ne 1 ) and ( lambda ne - 2 )
F. ( lambda ne - 1 ) and ( lambda ne - 2 )
G. ( lambda ne 1 ) and ( lambda ne 2 )
H. ( lambda ne - 1 ) and ( lambda ne 1 )
I. ( lambda ne - 1 ) and ( lambda ne 2 )
J. ( lambda ne - 1 ) and ( lambda ne - 5 )
Answer: E
Let ` alpha, beta ` be two non-zero orthogonal column vectors in ` R^n `, and ` A = alpha beta^T `. Then ` A ` ( )

Options:
A. may not necessarily be diagonalizable;
B. may not be diagonalizable under certain conditions;
C. may be diagonalizable if and only if alpha and beta are linearly dependent;
D. must be diagonalizable;
E. may be diagonalizable if and only if alpha and beta are orthogonal;
F. may be diagonalizable under certain conditions;
G. must not be diagonalizable;
H. may be diagonalizable under specific conditions;
I. none of the above.
J. may be diagonalizable if and only if alpha and beta are linearly independent;
Answer: G
What is the fundamental error of dualism?

Options:
A. believes that the world is unified in atoms
B. believes that the world is unified in spirit alone
C. believes that the world is unified in either matter or spirit, but not simultaneously
D. denies the unity of the world
E. believes that the world is unified in both matter and spirit
F. believes that the world is unified in both matter and spirit, but not simultaneously
G. believes that spirit is the origin of the world
H. believes that the world is unified in neither matter nor spirit
I. believes that the world is unified in either matter or spirit, but not both
J. denies the knowability of the world
Answer: D
Given the determinant [left| {begin{array}{*{20}{c}}1&2&3{-1}&x&00&x&1end{array}} right|], the minor of element -1, `M_{21} = `, and the cofactor of element 2, `A_{12} = `, are respectively equal to ( )

Options:
A. [left| {begin{array}{*{20}{c}}2&3x&0end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&30&1end{array}} right|]
B. [left| {begin{array}{*{20}{c}}2&3x&1end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&00&xend{array}} right|]
C. [left| {begin{array}{*{20}{c}}1&20&xend{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}1&30&1end{array}} right|]
D. [left| {begin{array}{*{20}{c}}2&3x&1end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&01&1end{array}} right|]
E. [left| {begin{array}{*{20}{c}}1&2{-1}&xend{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}1&30&1end{array}} right|]
F. [left| {begin{array}{*{20}{c}}2&3x&1end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&30&1end{array}} right|]
G. [left| {begin{array}{*{20}{c}}2&3x&1end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&01&0end{array}} right|]
H. [left| {begin{array}{*{20}{c}}2&3x&0end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&00&1end{array}} right|]
I. [left| {begin{array}{*{20}{c}}2&3x&1end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&30&xend{array}} right|]
J. [left| {begin{array}{*{20}{c}}2&3x&1end{array}} right|, {( - 1)^{1 + 2}}left| {begin{array}{*{20}{c}}{-1}&00&1end{array}} right|]
Answer: J
\( \int \frac{\sin 2x}{{\cos^2 x + 2 \sin x}} dx = \)

Options:
A. -\ln |{\cos^2 x + 2 \sin x}| + \frac{\sqrt{2}}{2} \ln \left| \frac{\sqrt{2} + 1 - \sin x}{\sqrt{2} - 1 + \sin x} \right| + C
B. \( -\ln |{\cos^2 x + 2 \sin x}| + \frac{\sqrt{2}}{2} \ln \left| \frac{\sqrt{2} - 1 + \sin x}{\sqrt{2} + 1 - \sin x} \right| + C \)
C. \( -\ln |{\cos^2 x + 2 \sin x}| - rac{\sqrt{2}}{2} \ln \left| rac{\sqrt{2} - 1 + \sin x}{\sqrt{2} + 1 - \sin x} ight| + C \)
D. -\ln |{\cos^2 x + 2 \sin x}| + \frac{\sqrt{2}}{2} \ln \left| \frac{\sqrt{2} + 1 + \sin x}{\sqrt{2} - 1 - \sin x} \right| + C
E. -\ln |{\cos^2 x + 2 \sin x}| + \frac{\sqrt{2}}{2} \ln \left| \frac{\sqrt{2} + 1 + \sin x}{\sqrt{2} - 1 + \sin x} \right| + C
F. -\ln |{\cos^2 x + 2 \sin x}| + \frac{\sqrt{2}}{2} \ln \left| \frac{\sqrt{2} + 1 - \sin x}{\sqrt{2} - 1 - \sin x} \right| + C
G. \( \ln |{\cos^2 x + 2 \sin x}| - rac{\sqrt{2}}{2} \ln \left| rac{\sqrt{2} - 1 + \sin x}{\sqrt{2} + 1 - \sin x} ight| + C \)
H. -\ln |{\cos^2 x + 2 \sin x}| + \frac{\sqrt{2}}{2} \ln \left| \frac{\sqrt{2} - 1 - \sin x}{\sqrt{2} + 1 + \sin x} \right| + C
I. \( \ln |{\cos^2 x + 2 \sin x}| + rac{\sqrt{2}}{2} \ln \left| rac{\sqrt{2} - 1 + \sin x}{\sqrt{2} + 1 - \sin x} ight| + C \)
J. -\ln |{\cos^2 x + 2 \sin x}| - \frac{\sqrt{2}}{2} \ln \left| \frac{\sqrt{2} - 1 + \sin x}{\sqrt{2} + 1 - \sin x} \right| + C
Answer: B
\( \int_{1/e}^e { \left| \ln x \right| dx} = \)

Options:
A. 1-2/e
B. 2
C. 2-2/e
D. 2-2/e^3
E. 2-1/e^3
F. 1-1/e
G. 2-1/e^2
H. 2-2/e^2
I. 2-1/e
J. 2/e
Answer: C
The number of physical page frames is 4, and the virtual page access sequence is 0,3,2,0,1,3,4,3,1,0,3,2,1,3,4. What is the number of page faults when using the CLOCK replacement algorithm (using 1 bit to indicate the presence time)?

Options:
A. 9
B. 11
C. 12
D. 8
E. 13
F. 7
G. 10
Answer: A
A patient suffers from dizziness and headache due to anger, irritability, insomnia, pain in both hypochondriac regions, red face, bitter taste in the mouth, thin yellow tongue coating, and taut and forceful pulse. The appropriate treatment method is ()

Options:
A. harmonizing liver and nourishing yin
B. dispelling wind-heat
C. nourishing yin and tonifying kidney
D. transforming phlegm and lowering counterflow
E. harmonizing liver and clearing damp-heat
F. harmonizing liver and subduing yang
G. calming liver and subduing yang
H. harmonizing liver and regulating qi
I. expelling wind and overcoming dampness
J. harmonizing liver and clearing heat
Answer: G
\( \int x (2-x)^4 dx \) = ( )

Options:
A. \( rac{1}{5}x (2-x)^5 - rac{1}{30}(2-x)^6 + C \)
B. -\frac{1}{5}x (2-x)^5 - \frac{1}{25}(2-x)^6 + C
C. -\frac{1}{5}x (2-x)^5 + \frac{1}{20}(2-x)^6 + C
D. \( -rac{1}{5}x (2-x)^5 + rac{1}{30}(2-x)^6 + C \)
E. -\frac{1}{5}x (2-x)^5 + \frac{1}{15}(2-x)^6 + C
F. \( -\frac{1}{5}x (2-x)^5 - \frac{1}{30}(2-x)^6 + C \)
G. -\frac{1}{5}x (2-x)^5 + \frac{1}{30}(2-x)^5 + C
H. -\frac{1}{5}x (2-x)^5 - \frac{1}{20}(2-x)^6 + C
I. -\frac{1}{5}x (2-x)^5 + \frac{1}{30}(2-x)^7 + C
J. \( rac{1}{5}x (2-x)^5 + rac{1}{30}(2-x)^6 + C \)
Answer: F
The main genetic mechanism of hydatidiform mole is

Options:
A. excess of maternal genome, but with paternal dominance;
B. excess of maternal genome, but with maternal dominance;
C. excess of maternal and paternal genomes, but with paternal dominance;
D. excess of paternal genome, but with maternal and paternal dominance;
E. excess of paternal genome;
F. excess of paternal genome, but with maternal dominance;
G. excess of both paternal and maternal genomes;
H. excess of maternal genome;
I. reduction of both paternal and maternal genomes
J. excess of paternal genome, but with paternal dominance;
Answer: E
After World War II, the development of developed capitalist countries entered a new stage of state monopoly capitalism, which means?

Options:
A. The government of developed capitalist countries assumes a minor role in regulating the national macroeconomy
B. State monopoly and private monopoly coexist equally in economic regulation
C. The government of developed capitalist countries assumes a significant but often reactive role in regulating the national macroeconomy
D. The government of developed capitalist countries assumes a significant but sometimes inconsistent role in regulating the national macroeconomy
E. The government of developed capitalist countries assumes a significant but not dominant role in regulating the national macroeconomy
F. The government of developed capitalist countries assumes the important function of regulating the national macroeconomy
G. State monopoly outweighs private monopoly
H. All important economic sectors are nationalized
I. State monopoly capital controls economic life
J. The government of developed capitalist countries assumes a moderate role in regulating the national macroeconomy
Answer: F
For a single-phase fully controlled bridge rectifier circuit with a large inductive load, assuming the average load current is 10A, what are the RMS values of the secondary current of the transformer I2 and the RMS current of the thyristor IVT?

Options:
A. I2=5A IVT=5A
B. I2=10A IVT=7.07A
C. I2=7.07A IVT=10A
D. I2=10A IVT=10A
E. I2=5A IVT=7.07A
F. I2=10A IVT=14.14A
G. I2=7.07A IVT=7.07A
H. I2=7.07A IVT=14.14A
I. I2=10A IVT=5A
J. I2=7.07A IVT=5A
Answer: B
The radial equation for a particle in a central potential field $V(r)$ can be written as $H_l chi_l(r)=Echi_l(r)$, where $H_l=-frac{hbar^2}{2mu}frac{d^2}{dr^2}+V(r)+frac{l(l+1)hbar^2}{2mu r^2}$. For a three-dimensional isotropic harmonic oscillator in an energy eigenstate, which of the following expressions is correct?

Options:
A. $langle r^{-2}rangle_{Nlm}=frac{1}{l+1/3}frac{muomega}{hbar}$
B. $langle r^{-2}rangle_{Nlm}=frac{1}{l+3/2}frac{muomega}{hbar}$
C. $langle r^{-2}rangle_{Nlm}=frac{1}{l+3/4}frac{muomega}{hbar}$
D. $langle r^{-2}rangle_{Nlm}=frac{1}{l-1/2}frac{muomega}{hbar}$
E. $langle r^{-2}rangle_{Nlm}=frac{1}{l}frac{muomega}{hbar}$
F. $langle r^{-2}rangle_{Nlm}=frac{1}{l+5/4}frac{muomega}{hbar}$
G. $langle r^{-2}rangle_{Nlm}=frac{1}{l+1/4}frac{muomega}{hbar}$
H. $langle r^2rangle_{Nlm}=(N+9/2)hbar/muomega$
I. $langle r^2rangle_{Nlm}=Nhbar/muomega$
J. $langle r^{-2}rangle_{Nlm}=frac{1}{l+1/2}frac{muomega}{hbar}$
Answer: J
Which of the following statements about the Gaussian random process are correct?

Options:
A. The mean and autocorrelation function can determine the first three moments of any N-dimensional distribution;
B. The mean and autocorrelation function can determine any N-dimensional distribution;
C. The mean and autocorrelation function can determine the first two moments of any N-dimensional distribution;
D. Any-dimensional distribution is Gaussian;
E. White noise is always normally distributed
F. The mean and autocorrelation function can determine the first five moments of any N-dimensional distribution;
G. The mean and autocorrelation function can determine the first four moments of any N-dimensional distribution;
H. The mean and autocorrelation function can determine the first seven moments of any N-dimensional distribution;
I. The mean and autocorrelation function can determine the first six moments of any N-dimensional distribution;
J. Wide-sense stationarity is equivalent to strict-sense stationarity;
Answer: B
A 58-year-old male. He experienced sudden chest pain for 2 hours while working in poverty alleviation in a mountainous area, which did not subside. An ECG at the local health center showed: ST-segment elevation of 0.2-0.5mV in leads V1-V6. He has a history of long-term heavy smoking, but no history of hypertension or diabetes. The local health center is 3 hours away from the nearest cardiovascular interventional treatment unit. The diagnosis is

Options:
A. acute coronary syndrome
B. acute ST-segment elevation myocardial infarction with ST-segment resolution
C. acute ST-segment elevation myocardial infarction with pericarditis
D. acute ST-segment elevation myocardial ischemia
E. ST-segment elevation myocardial infarction
F. acute ST-segment elevation myocardial infarction
G. aortic dissection
H. acute pericarditis
I. acute non-ST-segment elevation myocardial infarction
J. acute
Answer: E