MikaStars39/nano-eval huggingface dataset:
Another association: 150 lamps are on, each controlled by a pull switch (each pull changes the state of the corresponding lamp), numbered sequentially as 1, 2, 3, 4, ..., 150. If the pull switches of lamps numbered as multiples of 3 are pulled once, and then the pull switches of lamps numbered as multiples of 5 are pulled once, how many lamps will be on after all the pulls?

Options:
A. 82
B. 80
C. 100
D. 88
E. 87
F. 70
G. 85
H. 95
I. 90
J. 75
Answer: I
Which of the following statements about the basic principle of absorption refrigeration is correct?

Options:
A. The generator, absorber, and condenser are equivalent to the compressor in a vapor compression refrigeration system
B. The generator, absorber, and condenser pump are equivalent to the compressor in a vapor compression refrigeration system
C. The generator, absorber, and expansion valve are equivalent to the compressor in a vapor compression refrigeration system
D. The generator, absorber, and evaporator are equivalent to the compressor in a vapor compression refrigeration system
E. Lithium bromide absorption refrigeration machines do not require a throttling device
F. The absorption refrigeration system, like the vapor compression refrigeration, only releases condensation heat at the condenser
G. The generator, absorber, and condenser pump are equivalent to the condenser in a vapor compression refrigeration system
H. The generator, absorber, and generator pump are equivalent to the compressor in a vapor compression refrigeration system
I. The generator, absorber, and expansion device are equivalent to the compressor in a vapor compression refrigeration system
Answer: H
In the phase diagram of a partially miscible ternary system, if a straight line BD is drawn from any vertex B to its opposite side, which of the following statements about the compositions represented by the points on the BD line is correct?

Options:
A. It is difficult to determine.
B. The difference between the contents of components A and C remains unchanged.
C. The product of the contents of components A and C remains unchanged.
D. The contents of components A and C remain unchanged.
E. The content of component B remains unchanged.
F. The ratio of the contents of components A and C changes linearly as the line moves away from vertex B.
G. The sum of the contents of components A and C remains unchanged.
H. The ratio of the contents of components A and C remains unchanged.
I. The ratio of the contents of components A and C decreases as the line moves away from vertex B.
J. The ratio of the contents of components A and C increases as the line moves away from vertex B.
Answer: H
Let X follow the binomial distribution B(n,p), and it is known that P(X=1)=P(X=2), P(X=2)=2P(X=3). What is the value of P(X=4)?

Options:
A. 2/243
B. 60/243
C. 50/243
D. 40/243
E. 20/243
F. 30/243
G. 15/243
H. 10/243
I. 80/243
J. 25/243
Answer: H
Which of the following statements about Berry phase and Berry curvature is correct?

Options:
A. Berry phase is independent of the path
B. When the Hamiltonian contains slow and fast variables, the eigenstates and adiabatic eigenstates differ by a Berry phase, which can be partially absorbed into the eigenfunctions of the fast variables.
C. When the Hamiltonian contains slow and fast variables, the eigenstates and adiabatic eigenstates differ by a Berry phase, which can be absorbed into the eigenfunctions of the fast variables but not the slow variables.
D. Berry phase can be eliminated by choosing a suitable gauge
E. When the Hamiltonian contains slow and fast variables, the eigenstates and adiabatic eigenstates differ by a Berry phase, which can be absorbed into the eigenfunctions of the slow variables.
F. When the Hamiltonian contains slow and fast variables, the eigenstates and adiabatic eigenstates differ by a Berry phase, which can be absorbed into the eigenfunctions of the slow and fast variables.
G. When the Hamiltonian contains slow and fast variables, the eigenstates and adiabatic eigenstates differ by a Berry phase, which cannot be absorbed into the eigenfunctions of the fast variables.
H. When the Hamiltonian contains slow and fast variables, the eigenstates and adiabatic eigenstates differ by a Berry phase, which can be absorbed into the eigenfunctions of the fast variables.
I. When the Hamiltonian contains slow and fast variables, the eigenstates and adiabatic eigenstates differ by a Berry phase, which can be absorbed into the eigenfunctions of the slow variables but not the fast variables.
J. The conclusion in class still holds when energy levels are degenerate
Answer: G
When ( x &lt; 0 ), the concavity intervals of the function curve ( y = {x over { { x^2} - 1}} ) are ( ).

Options:
A. convex in ( ( - infty , - 1) ) and concave in ( ( - 1, - 0.9) )
B. convex in ( ( - infty , - 1) ) and concave in ( ( - 1, - 0.85) )
C. concave in ( ( - infty ,0) )
D. convex in ( ( - infty , - 1) ) and concave in ( ( - 1, - 0.5) )
E. convex in ( ( - infty ,0) )
F. concave in ( ( - infty , - 1) ) and convex in ( ( - 1, - 0.5) )
G. convex in ( ( - infty , - 1) ) and concave in ( ( - 1,0) )
H. convex in ( ( - infty , - 1) ) and concave in ( ( - 1, - 0.75) )
I. concave in ( ( - infty , - 1) ) and convex in ( ( - 1, - 0.75) )
J. concave in ( ( - infty , - 1) ) and convex in ( ( - 1,0) )
Answer: G
Company A often dispatches its salesperson B to enter into contracts with Company C. After B was transferred, he still signed a contract with Company C, who was unaware of his transfer, using a contract book stamped with Company A's seal, and withdrew the payment according to the usual practice, then fled. Company A was unaware of this. Company C demands that Company A fulfill the contract, but Company A refuses, claiming the contract is unrelated to them. Which of the following options is correct?

Options:
A. Company A should share the loss with Company C
B. Company A should bear the consequences of the contract signing
C. Company A does not bear any responsibility
D. Company A should bear the consequences of the contract signing, but only if B is found to have acted with malice
E. Company A should bear the main responsibility
F. Company A should bear partial responsibility for the contract signing
G. Company A should bear the consequences of the contract signing, but can seek partial compensation from B
H. Company A should bear the consequences of the contract signing, but only if B cannot be found
I. Company A should bear the consequences of the contract signing, but can seek compensation from B
J. Company A should bear the consequences of the contract signing, but can seek full compensation from B
Answer: B
When \(x \to 0\), \(\frac{1}{x^2}\sin\frac{1}{x}\) is

Options:
A. bounded but not an infinitely small quantity
B. unbounded and an infinitely large quantity
C. bounded and not an infinitely large quantity
D. unbounded and not an infinitely small quantity
E. an infinitely small quantity
F. unbounded but not an infinitely large quantity
G. bounded and oscillates between finite values
H. unbounded and an infinitely small quantity
I. unbounded and oscillates between finite values
J. bounded and an infinitely small quantity
Answer: F
A client-server uses a satellite network to communicate with a satellite at an altitude of 22,500 km. A message is sent from the client (or server) to the satellite, and then the satellite relays this message to the server (or client). What is the minimum delay, in the best case, for the client to receive a response from the server after sending (or initiating) a request to the server? Assume the signal travels at the speed of light. (Hint: The speed of light is 300,000,000 meters/second.)

Options:
A. 295ms
B. 15ms
C. 300ms
D. 298ms
E. 301ms
F. 150ms
G. 149ms
H. 30ms
I. 299ms
J. 225ms
Answer: C
In discussing the treatment of diseases, the 'Lun on the Great Principle of Yin-Yang Correspondence' in the Suwen points out: 'For those with fullness in the middle'

Options:
A. purge it by draining
B. purge it by pressing
C. purge it by guiding
D. disperse and purge it
E. purge it internally
F. press and collect it
G. induce vomiting accordingly
H. purge it externally
I. drain it by guiding
J. purge it by draining internally
Answer: E
In an aluminum acid battery, a small amount of impurities such as arsenic or platinum can accelerate the self-discharge of the battery, leading to the loss of stored electrical energy. This is because

Options:
A. impurities increase the rate of side reactions, leading to self-discharge
B. impurities alter the properties of the electrodes
C. impurities decrease the hydrogen overpotential
D. impurities increase the hydrogen overpotential, reducing the efficiency of the battery
E. impurities increase the hydrogen overpotential
F. impurities decrease the hydrogen overpotential, increasing the efficiency of the battery
G. impurities slightly increase the hydrogen overpotential, but not enough to prevent self-discharge
H. impurities alter the properties of the electrolyte
I. impurities act as catalysts, accelerating the reaction
J. impurities reduce the hydrogen overpotential
Answer: J
The wire model is 150/25, the unit length mass of the wire is 601kg/km, and the calculated cross-sectional area is 173.11mm². What is the self-weight specific load of the wire?

Options:
A. 34.50*10-3
B. 34.00*10-3
C. 34.20*10-3
D. 34.07*10-3
E. 34.15*10-3
F. 33.25*10-3
G. 34.72*10-3
H. 34.05*10-3
I. 34.10*10-3
J. 39.56*10-3
Answer: H
In the 'Zuo Zhuan, Chapter 24 of Duke Xiang': 'I have heard that the highest is to establish virtue, the next is to establish merit, and the next is to establish words. Even after a long time, they are not abandoned; this is what is called immortality.' Which of the following is a reasonable interpretation of this text?

Options:
A. 'Establishing virtue' mainly refers to achieving political success through the path of moral cultivation, which is the best model of immortality under the background of governing the country with virtue.
B. This is a discussion between Shusun Bao of the State of Lu and Fan Xuanzi of the State of Jin during the Warring States period on the proposition of 'immortality after death'.
C. This is a discussion between Shusun Bao of the State of Lu and Fan Xuanzi of the State of Jin during the Spring and Autumn period on the proposition of 'achieving political success through moral cultivation'.
D. This is a discussion between Shusun Bao of the State of Lu and Fan Xuanzi of the State of Jin during the Spring and Autumn period on the proposition of 'achieving lasting influence through cultural and educational reforms'.
E. This is a discussion between Shusun Bao of the State of Lu and Fan Xuanzi of the State of Jin during the Spring and Autumn period on the proposition of 'achieving lasting influence through personal achievements and contributions'.
F. This is a discussion between Shusun Bao of the State of Lu and Fan Xuanzi of the State of Jin during the Spring and Autumn period on the proposition of 'achieving lasting influence through governance and moral leadership'.
G. This is a discussion between Shusun Bao of the State of Lu and Fan Xuanzi of the State of Jin during the Spring and Autumn period on the proposition of 'achieving personal glory and recognition'.
H. This is a discussion between Shusun Bao of the State of Lu and Fan Xuanzi of the State of Jin during the Spring and Autumn period on the proposition of 'immortality after death'.
I. 'Establishing words' refers to expressing true insights in language and writing, authoring books and passing them down to future generations, which is the most helpless model of immortality under the background of unappreciated talent.
J. 'Establishing merit' mainly refers to achieving political success through military achievements and other accomplishments, which is a possible model of immortality under the background of governing the country by law.
Answer: H
For the detection of a deterministic signal with unknown arrival time in Gaussian white noise, which of the following statements is correct?

Options:
A. The test statistic in the frequency domain can obtain a non-integer period delay
B. The detector has a generalized likelihood ratio test structure with an integer period delay
C. The test statistic in the time domain can obtain a non-integer period delay
D. The detector has a generalized likelihood ratio test structure with a non-integer period delay
E. The detector has a maximum a posteriori probability test structure
F. The detector has a maximum likelihood ratio test structure
G. The detector has a maximum likelihood test structure
H. The calculation of the detection statistic requires first obtaining the maximum likelihood estimate of the delay
I. The detector has a generalized likelihood ratio test structure
J. The detector has a maximum likelihood ratio test structure with a non-integer period delay
Answer: I
Let ( X_1 ,X_2 ,cdots ,X_{16} ) be a sample from the population ( N(mu ,;sigma^2) ). Then ( frac{1}{2}sumlimits_{i=1}^8 {frac{(X_i +X_{i+8} -2bar{X})^2}{sigma ^2}} sim )( ).

Options:
A. ( chi ^2(7) )
B. ( chi ^2(13) )
C. ( chi ^2(16) )
D. ( chi ^2(10) )
E. ( chi ^2(14) )
F. ( chi ^2(6) )
G. ( chi ^2(8) )
H. ( chi ^2(15) )
I. ( chi ^2(5) )
J. ( chi ^2(9) )
Answer: A
Let \( f(x) = \left\{ \begin{array}{ll} x^2, & x \in [0,1) \\ x + 1, & x \in [1,2] \end{array} \right. \), then which of the following statements about \( F(t) = \int_{0}^{x} f(t) \, dt \) on \([0,2]\) is correct?

Options:
A. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a second kind discontinuity;
B. \( F(x) \) is a differentiable function on \([0,2]\);
C. \( F(x) \) is discontinuous at \( x=1 \) and continuous at all other points;
D. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a jump discontinuity;
E. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a removable discontinuity;
F. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a discontinuity of the second kind;
G. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a discontinuity of the third kind;
H. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a discontinuity of the first kind;
I. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a discontinuity of the fourth kind;
J. \( F(x) \) is a continuous function on \([0,2]\) but its derivative has a first kind discontinuity;
Answer: J
Which type of cell, if its apoptosis is delayed, may be associated with the occurrence of multiple organ dysfunction syndrome?

Options:
A. Endothelial cells
B. Macrophages
C. Neutrophils
D. Lymphocytes
E. Eosinophils
F. Intestinal epithelial cells
G. Monocytes
Answer: C
A 34-year-old woman. Increased purulent vaginal discharge with urinary frequency and dysuria for one week. Examination reveals redness and swelling of the urethral orifice, obvious congestion and edema of the cervix, and purulent discharge flowing out of the cervical os. No tenderness in the uterus and adnexa. Gram staining of cervical secretion smear shows gram-negative diplococci, with more than 30 neutrophils per high-power field. The correct treatment is

Options:
A. Azithromycin 1g, single dose
B. Cefixime 400mg, single dose
C. Ceftriaxone sodium 500mg intramuscular injection, once daily for 7 days
D. Cefixime 300mg, single dose
E. Cefixime 400mg, once daily for 3 days
F. Cefixime 600mg, single dose
G. Cefixime 200mg, single dose
H. Levofloxacin 500mg, once daily for 7 days
I. Ceftriaxone sodium 1g intramuscular injection, once daily for 10 days
J. Cefixime 500mg, single dose
Answer: B
The correct statement is:

Options:
A. Linear nonsingular transformation does not change the controllability of the system, but external disturbances can alter the state controllability of the system under certain conditions
B. Linear nonsingular transformation does not change the controllability of the system, but external disturbances can sometimes affect the state controllability of the system
C. Linear nonsingular transformation does not change the controllability of the system, but external disturbances can indirectly affect the state controllability of the system
D. Linear nonsingular transformation does not change the controllability of the system, but external disturbances can have a minor impact on the state controllability of the system
E. Linear nonsingular transformation does not change the controllability of the system, but external disturbances affect the state controllability of the system
F. Linear nonsingular transformation changes the controllability of the system, and external disturbances also affect the state controllability of the system
G. Linear nonsingular transformation does not change the controllability of the system, but external disturbances can potentially affect the state controllability of the system
H. Linear nonsingular transformation does not change the controllability of the system, and external disturbances do not affect the state controllability of the system
I. Linear nonsingular transformation changes the controllability of the system, but external disturbances do not affect the state controllability of the system
J. Linear nonsingular transformation does not change the controllability of the system, but external disturbances can have a significant impact on the state controllability of the system
Answer: H
Air is adiabatically compressed in an axial flow compressor, with a pressure ratio of 4.2, and the initial and final temperatures are 20°C and 200°C, respectively. The entropy change of air during the compression process is _________ J/(kg*K). (Consider air as an ideal gas. Given the specific heat at constant pressure cp=1.003 kJ/(kg*K), and the gas constant R=0.287 kJ/(kg*K).)

Options:
A. 67.3
B. 39.4
C. 99.4
D. 67.8
E. 59.3
F. 69.3
G. 58.3
H. 78.3
I. 68.3
J. 129.4
Answer: I
\( \int{\frac{1}{1+\sqrt{1- { { x}^{2}}}}dx} \)

Options:
A. \arcsin x + \frac{\sqrt{1- { { x}^{2}}}+1}{x} + C
B. \( rccos x - rac{\sqrt{1- { { x}^{2}}}+1}{x} + C \)
C. \( rccos x + rac{\sqrt{1- { { x}^{2}}}+1}{x} + C \)
D. \arcsin x - \frac{\sqrt{1- { { x}^{2}}}+1}{x} + C
E. \(\arcsin x - \frac{\sqrt{1- { { x}^{2}}}-1}{x} + C \)
F. \arcsin x - \frac{\sqrt{1- { { x}^{2}}}-1}{x} - C
G. \arcsin x + \frac{\sqrt{1- { { x}^{2}}}+1}{x} - C
H. \( \arcsin x + \frac{\sqrt{1- { { x}^{2}}}-1}{x} + C \)
I. \arcsin x - \frac{\sqrt{1- { { x}^{2}}}-1}{x} + C
J. \( rcsin x - rac{\sqrt{1- { { x}^{2}}}+1}{x} + C \)
Answer: H
The necessary and sufficient condition for the n-dimensional column vector group (\beta_{1},\beta_{2},\cdots,\beta_{m}) to be linearly independent, given that the n-dimensional column vector group (\alpha_{1},\alpha_{2},\cdots,\alpha_{m}) ((m \lt n)) is linearly independent, is ( ).

Options:
A. The matrix (A=(\alpha_{1},\alpha_{2},\cdots,\alpha_{m})) is a submatrix of the matrix (D=(\beta_{1},\beta_{2},\cdots,\beta_{m-1},\alpha_{m}))
B. The matrix (A=(\alpha_{1},\alpha_{2},\cdots,\alpha_{m})) is a submatrix of the matrix (B=(\beta_{1},\beta_{2},\cdots,\beta_{m-1}))
C. The vector group (lpha_{1},lpha_{2},\cdots,lpha_{m}) can be linearly represented by the vector group (eta_{1},eta_{2},\cdots,eta_{m})
D. The matrix (A=(\alpha_{1},\alpha_{2},\cdots,\alpha_{m})) is equivalent to the matrix (B=(\beta_{1},\beta_{2},\cdots,\beta_{m-1},\beta_{m+1}))
E. The matrix (A=(\alpha_{1},\alpha_{2},\cdots,\alpha_{m})) is a submatrix of the matrix (C=(\beta_{1},\beta_{2},\cdots,\beta_{m},\alpha_{m+1}))
F. The matrix (A=(\alpha_{1},\alpha_{2},\cdots,\alpha_{m})) is a submatrix of the matrix (B=(\beta_{1},\beta_{2},\cdots,\beta_{m}))
G. The vector group (eta_{1},eta_{2},\cdots,eta_{m}) can be linearly represented by the vector group (lpha_{1},lpha_{2},\cdots,lpha_{m})
H. The matrix (A=(\alpha_{1},\alpha_{2},\cdots,\alpha_{m})) is a submatrix of the matrix (B=(\beta_{1},\beta_{2},\cdots,\beta_{m+1}))
I. The matrix (A=(\alpha_{1},\alpha_{2},\cdots,\alpha_{m})) is equivalent to the matrix (B=(\beta_{1},\beta_{2},\cdots,\beta_{m}))
J. The vector group (lpha_{1},lpha_{2},\cdots,lpha_{m}) is equivalent to the vector group (eta_{1},eta_{2},\cdots,eta_{m})
Answer: I
Gauss published "American Society and Public Administration," which proposed ( ).

Options:
A. the new administrative theory system that studies administrative management with economic methods
B. the new administrative theory system that studies administrative management with sociological methods
C. the new administrative theory system that studies administrative management with ecological and economic methods
D. the new administrative theory system that studies administrative management with ecological methods
E. the relationship between administrative management and administrative environment
F. studying government management from the perspective of public administration
G. the new administrative theory system that studies administrative management with biological methods
H. the new administrative theory system that studies administrative management with environmental methods
I. the new administrative theory system that studies administrative management with ecological and sociological methods
J. the concepts of 'Agricultural Administrative Model' and 'Industrial Administrative Model'
Answer: D
\( \int e^x \sin^2 x \, dx \) = ( )

Options:
A. \(-rac{1}{2} e^x + rac{1}{5} e^x \cos 2x - rac{1}{10} e^x \sin 2x + C\)
B. \(\frac{1}{2} e^x + \frac{1}{5} e^x \sin 2x + \frac{1}{10} e^x \cos 2x + C\)
C. \(\frac{1}{2} e^x - \frac{1}{5} e^x \cos 2x - \frac{1}{10} e^x \sin 2x + C\)
D. \(\frac{1}{2} e^x + \frac{1}{5} e^x \cos 2x - \frac{1}{10} e^x \sin 2x + C\)
E. \(-rac{1}{2} e^x - rac{1}{5} e^x \cos 2x + rac{1}{10} e^x \sin 2x + C\)
F. \(\frac{1}{2} e^x + \frac{1}{5} e^x \cos 2x + \frac{1}{10} e^x \sin 2x + C\)
G. \(\frac{1}{2} e^x + \frac{1}{5} e^x \sin 2x - \frac{1}{10} e^x \cos 2x + C\)
H. \(\frac{1}{2} e^x - \frac{1}{5} e^x \cos 2x + \frac{1}{10} e^x \sin 2x + C\)
I. \(rac{1}{2} e^x + rac{1}{5} e^x \sin 2x + rac{1}{10} e^x \cos 2x + C\)
J. \(\frac{1}{2} e^x - \frac{1}{5} e^x \sin 2x - \frac{1}{10} e^x \cos 2x + C\)
Answer: J
Regarding constitutional laws, which of the following statements is correct?

Options:
A. It refers to the constitution in the formal sense
B. It refers to laws in unwritten constitution countries where the most fundamental and important issues of the state are partially prescribed in a constitution and partially provided for by a single, comprehensive document.
C. It refers to laws in unwritten constitution countries where the most fundamental and important issues of the state are not prescribed in the form of a constitution, but are provided for by multiple individual legal documents.
D. It refers to laws in written constitution countries, formulated by the national legislative body to implement the constitution, concerning the content of constitutional relations
E. It refers to laws in unwritten constitution countries where the most fundamental and important issues of the state are not prescribed in the form of a constitution, but are provided for by a single, comprehensive document.
F. It refers to laws in unwritten constitution countries where the most fundamental and important issues of the state are partially prescribed in a constitution and partially provided for by multiple individual legal documents.
G. It refers to laws in unwritten constitution countries where the most fundamental and important issues of the state are not prescribed in the form of a constitution, but are provided for by a combination of judicial decisions and multiple individual legal documents.
H. It refers to laws in written constitution countries where the most fundamental and important issues of the state are prescribed in a single, comprehensive document, and are not provided for by multiple individual legal documents.
I. It refers to laws in written constitution countries where the most fundamental and important issues of the state are prescribed in a single, comprehensive document, but are also provided for by multiple individual legal documents.
J. As a typical unwritten constitution country, the UK does not have a fundamental law in the sense of a constitution, but only has a constitution in the sense of a branch of law
Answer: C
Why is the search process for binSearch() version A not balanced?

Options:
A. Because the left and right branches have different subvector sizes
B. Because the number of comparisons required for the left and right branches is equal but the subvector sizes are the same
C. Because the number of comparisons required for the left and right branches is equal but the subvector sizes are not the same
D. Because the number of comparisons required for the left and right branches is not equal
E. Because the number of comparisons required for the left and right branches is equal but the subvector sizes are not always the same
F. Because the number of comparisons required for the left and right branches is equal but the subvector sizes are not always equal
G. Because the probability that the key is in the left subvector is greater than the probability that it is in the right
H. Because the left and right branches have different initial indices
I. Because the number of comparisons required for the left and right branches is equal but the subvector sizes are different
J. Because the Fibonacci search is more balanced than the binary search
Answer: D
Given the equation $F(x+y,y+z)=1$ defines the implicit function $z=z(x,y)$, where $F$ has continuous second-order partial derivatives, then $frac{{{partial }^{2}}z}{partial ypartial x}=$

Options:
A. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}+2{{{{F}'}}_{1}}{{F}_{2}}^{prime }{{{{F}''}}_{12}}-{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{4}}}$
B. $frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}-2{{{{F}'}}_{1}}{{{{F}'}}_{2}}{{{{F}''}}_{12}}+{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{{{F}'}}_{2}})}^{3}}}$
C. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}-2{{{{F}'}}_{1}}{{F}_{2}}^{prime }{{{{F}''}}_{12}}+{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{3}}}$
D. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}+2{{{{F}'}}_{1}}{{F}_{2}}^{prime }{{{{F}''}}_{12}}-{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{3}}}$
E. $frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}+2F_{1}^{'}{{F}_{2}}^{prime }{{{{F}''}}_{12}}+{{(F_{1}^{'})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{3}}}$
F. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}-2{{{{F}'}}_{1}}{{F}_{2}}^{prime }{{{{F}''}}_{12}}+{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{2}}}$
G. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}-2{{{{F}'}}_{1}}{{F}_{2}}^{prime }{{{{F}''}}_{12}}-{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{4}}}$
H. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}-2{{{{F}'}}_{1}}{{F}_{2}}^{prime }{{{{F}''}}_{12}}-{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{3}}}$
I. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}+2{{{{F}'}}_{1}}{{F}_{2}}^{prime }{{{{F}''}}_{12}}+{{({{{{F}'}}_{1}})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{3}}}$
J. $-frac{{{({{F}_{2}}^{prime })}^{2}}{{{{F}''}}_{11}}-2F_{1}^{'}{{F}_{2}}^{prime }{{{{F}''}}_{12}}-{{(F_{1}^{'})}^{2}}{{{{F}''}}_{22}}}{{{({{F}_{2}}^{prime })}^{3}}}$
Answer: C
The criticism of the "three harmonies and one reduction" line is considered an important sign of the leftward tilt in Chinese diplomacy. This line was believed to be led by ( )?

Options:
A. Chen Geng
B. Wang Jiaxiang
C. Lin Biao
D. Chen Yi
E. Zhou Enlai
F. Chen Biao
G. Kang Sheng
Answer: B
A 27-year-old woman. Postpartum physical weakness has not recovered for a long time, with low-grade fever, dizziness, blurred vision, fatigue, pale complexion, palpitations, poor sleep, pale lips and nails, pale tongue, and weak pulse. TCM differentiation is ()

Options:
A. Qi and Blood stasis heat
B. Yang deficiency fever
C. Liver depression fever
D. Blood deficiency fever
E. Qi and Blood deficiency heat
F. Yin deficiency fever
G. Qi and Blood deficiency fever
H. Qi and Blood stasis fever
I. Qi deficiency fever
Answer: D
For the normality test, at the α=0.10 level, it is considered that the population follows a normal distribution. If this inference is incorrect, the probability of error is ( ).

Options:
A. equal to β, where β is unknown
B. equal to 0.90, where 0.90 is the complement of the significance level
C. equal to 1 - 0.90, where 0.90 is the complement of the significance level
D. greater than 0.10
E. equal to 0.10
F. less than 0.10
G. equal to 1 - 0.10, where 0.10 is the significance level
Answer: A
The prerequisite for money to be transformed into capital is

Options:
A. labor is a commodity that can be traded
B. laborers have personal freedom
C. labor power becomes a commodity
D. labor power is a commodity that can be traded
E. labor is sold as a commodity
F. laborers have nothing
G. labor is a commodity
H. labor becomes a commodity
I. labor is a form of capital
J. labor power is a form of capital
Answer: C
Integral $int_{0}^{4}{frac{sqrt{x}}{1+xsqrt{x}}}dx=$

Options:
A. $frac{4}{3}ln 2$
B. $frac{3}{4}ln 3$
C. $frac{4}{3}ln 9$
D. $frac{4}{3}ln 4$
E. $frac{2}{3}ln 9$
F. $frac{5}{3}ln 3$
G. $0$
H. $frac{2}{3}ln 3$
I. $frac{4}{3}ln 3$
J. $frac{3}{2}ln 3$
Answer: I
The evolution of mobile phones and calculators has applied the ( ) of TRIZ theory.

Options:
A. Law of Dynamic Evolution
B. Law of Increasing Mobility
C. Law of Increasing Efficiency
D. Law of System Completeness
E. Law of Increasing Integration
F. Law of Increasing Functionality
G. Law of Increasing Ideality
H. Law of Energy Transmission
I. Law of Harmony
J. Law of Increasing Simplicity
Answer: G
Regarding social revolution, which of the following options is correct?

Options:
A. Social revolution refers to a comprehensive transformation of social life based on the movement of social contradictions, including major changes in the relationship between humans and nature, human-to-human relationships, ways of thinking, and ideological concepts.
B. Social revolution mainly refers to the alternation of social forms, that is, new social forms replacing old social forms.
C. Social revolution is a gradual and continuous process that involves minor adjustments and reforms within the existing social system, without leading to a fundamental change in the overall social structure.
D. Social revolution is a process of gradual reform within existing social structures, aimed at improving specific aspects of society without fundamentally altering the overall social system.
E. Social revolution is a series of gradual and incremental changes that occur within the existing social system, leading to a more equitable distribution of resources and power without fundamentally altering the overall social structure.
F. Social revolution is a series of gradual and incremental changes that occur within the existing social system, leading to a more equitable distribution of resources and power, but without fundamentally altering the overall social structure.
G. Social revolution is both the result of the movement of social contradictions and an important driving force for social development, especially the alternation of social forms.
H. Social revolution is a series of gradual and incremental changes that occur within the existing social system, leading to a more equitable distribution of resources and power, but ultimately resulting in the replacement of the old social system with a new one.
I. The essence of social revolution is that revolutionary classes overthrow the rule of reactionary classes, replace the old social system with a new one, liberate productive forces, and promote social development.
J. Social revolution is rooted in the intensification of fundamental social contradictions, that is, the conflict between the development of productive forces and old production relations, and between the development of the economic base and the old superstructure, which is the fundamental cause of the outbreak of social revolution.
Answer: A
The theory of the duality of labor in the production of commodities is the key to understanding Marxist political economy.

Options:
A. The theory of the determination of the value of commodities
B. The theory of the dual nature of labor in the production of commodities
C. The theory of the dual character of labor in the production of commodities
D. The theory of the dual elements of labor in the production of commodities
E. The theory of the dual role of labor in the production of commodities
F. The theory of the duality of labor in the production of commodities
G. The theory of the dual aspects of labor in the production of commodities
H. The theory of the two factors of commodities
I. The theory of the dual functions of labor in the production of commodities
J. The theory of the fundamental contradiction of simple commodity economy
Answer: F
Let \( y = [x] \) denote the floor function, and let \( f(x) = \cos \left( \frac{\pi}{2} [x] \right) \), then \( f(x) \) is

Options:
A. a bounded function and a periodic even function
B. a bounded periodic function
C. a bounded even function
D. an unbounded odd function
E. a periodic function and an even function
F. a bounded function and a periodic odd function
G. a bounded periodic function and an even function
H. a bounded function and an odd function
I. a bounded odd function
J. a bounded function and a periodic function
Answer: B
A 65-year-old male was admitted to the hospital due to chest pain for 1 hour. After examination, he was diagnosed with an anterior inferior wall myocardial infarction. Following percutaneous coronary intervention (PCI), coronary blood flow was restored, but the left ventricular ejection fraction was 35% postoperatively. The change that occurred in the patient at this time is

Options:
A. Myocardial dysfunction
B. Atrioventricular block
C. Atrial fibrillation
D. Myocardial hibernation
E. Myocardial ischemia
F. Myocardial remodeling
G. Myocardial necrosis
H. Myocardial stunning
I. Myocardial fibrosis
J. Myocardial apoptosis
Answer: H
When designing FIR digital filters using the window function method, under the same order, the transition band of the filter designed with a rectangular window is ( ) compared to that with a triangular window, and the stopband attenuation is ( ) compared to that with a triangular window.

Options:
A. narrower; smaller
B. wider; smaller
C. wider; larger
D. narrower; marginally smaller
E. narrower; significantly smaller
F. narrower; slightly larger
G. narrower; significantly larger
H. narrower; slightly smaller
I. narrower; marginally larger
J. narrower; larger
Answer: A
"If we set up categories and names to select people, it will teach the whole world to be hypocritical. If the emperor selects people based on filial piety, the brave will cut their thighs, and the timid will build huts at graves. If the emperor selects people based on integrity, they will use dilapidated carts, weak horses, shabby clothes, and meager food, doing whatever it takes to meet the emperor's expectations. The corruption of virtue has reached such an extent!" Who made this evaluation of the potential drawbacks of selecting officials through the imperial examination based on moral character?

Options:
A. Bao Zheng
B. Su Shi
C. Wang Anshi
D. Ou Yangxiu
Answer: B
When was the chapter 'Rites of the Literati' from the 'Book of Rites' written, during the reign of which Duke of Lu?

Options:
A. Duke Zhuang of Lu
B. Duke Xiang of Lu
C. Duke Ding of Lu
D. Duke Huan of Lu
E. Duke Cheng of Lu
F. Duke Zhao of Lu
G. Duke Ling of Lu
H. Duke Xuan of Lu
I. Duke Ai of Lu
Answer: I
An organisation has the following total costs at two activity levels: Activity level (units): 17,000 and 22,000. Total costs ($): 140,000 and 170,000. Variable cost per unit is constant in this range of activity and there is a step up of $5,000 in the total fixed costs when activity exceeds 18,000 units. What is the total cost at an activity level of 20,000 units?

Options:
A. $159,000
B. $157,000
C. $161,000
D. $162,000
E. $163,000
F. $160,000
G. $156,000
H. $155,000
I. $154,000
J. $158,000
Answer: F
The reason why the human cognitive process will continue to develop infinitely lies in:

Options:
A. The truth of cognition can only be tested and developed in practice.
B. The human cognitive process is driven by an innate curiosity and the continuous interaction with an infinite and ever-evolving environment, ensuring its development is unending.
C. The human cognitive process is influenced by an infinite number of external stimuli, which ensures that cognitive development is endless.
D. The human brain has an unlimited capacity for learning and retaining new information, allowing cognitive processes to develop infinitely.
E. The purpose of understanding the world is to transform the world.
F. The human cognitive process is driven by the continuous need to adapt to a finite but rapidly changing environment, ensuring its development is unending.
G. The human cognitive process is driven by an innate curiosity and the continuous interaction with a finite but ever-changing environment, ensuring its development is unending.
H. The human cognitive process is driven by an innate curiosity that ensures continuous questioning and exploration, leading to infinite development.
I. The changes and movements of the objective real world will never end, and thus people's understanding of the truth in practice will also never come to an end.
J. Sensory cognition needs to be deepened and developed into rational cognition.
Answer: I
Given $lnsqrt{x^2+y^2}=arctanfrac{y}{x}$, then $frac{dy}{dx}=$

Options:
A. $frac{y-x}{x-y} (yneq x)$
B. $frac{x-y}{x+y} (yneq -x)$
C. $frac{y+x}{x+y} (yneq -x)$
D. $frac{x-y}{y-x} (yneq x)$
E. $frac{y-x}{x+y} (yneq -x)$
F. $frac{y+x}{y-x} (yneq x)$
G. $frac{x+y}{y-x} (yneq x)$
H. $frac{x+y}{x-y} (yneq x)$
I. $frac{x+y}{y+x} (yneq -x)$
J. $frac{y-x}{y+x} (yneq -x)$
Answer: H
Let $f_n(x)=\frac{2x+n}{x+n}, x \in [0,b]$, then

Options:
A. $f_n(x)$ converges uniformly on $[0,b]$, but $f_n'(x)$ converges uniformly on $[0,b]$ for $x \in (0,b)$ but not at $x = b$ or $x = 0$.
B. $f_n(x)$ converges uniformly on $[0,b]$, but $f_n'(x)$ converges uniformly on $[0,b]$ for $x \in (0,b]$ but not at $x = 0$.
C. $f_n(x)$ does not converge uniformly on $[0,b]$, but $f_n'(x)$ converges uniformly on $[0,b]$.
D. Neither $f_n(x)$ nor $f_n'(x)$ converges uniformly on $[0,b]$.
E. Both $f_n(x)$ and $f_n'(x)$ converge uniformly on $[0,b]$.
F. $f_n(x)$ converges uniformly on $[0,b]$, but $f_n'(x)$ converges pointwise but not uniformly on $[0,b]$.
G. $f_n(x)$ converges uniformly on $[0,b]$, but $f_n'(x)$ converges uniformly on $[0,b]$ for $x \in [0,b)$ but not at $x = b$.
H. $f_n(x)$ converges uniformly on $[0,b]$, but $f_n'(x)$ converges uniformly on $[0,b]$ for $x \in (0,b)$ but not at $x = 0$ or $x = b$.
I. $f_n(x)$ converges uniformly on $[0,b]$, but $f_n'(x)$ does not converge uniformly on $[0,b]$.
J. $f_n(x)$ converges uniformly on $[0,b]$, but $f_n'(x)$ converges uniformly on $[0,b]$ for $x \in (0,b)$ but not at $x = 0$.
Answer: E
Let $f(x)$ be a monotonically decreasing function on $(0,+\infty)$. Then ()

Options:
A. $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+1/2}{f(x)dx}$
B. $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+1}{f(x)dx}$
C. $int_{1}^{n}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+1}{f(x)dx}$
D. $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n-2}{f(x)dx}$
E. $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n}{f(x)dx}$
F. $int_{1}^{n}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n}{f(x)dx}$
G. $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n+2}{f(x)dx}$
H. $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le f(1)+int_{1}^{n-1}{f(x)dx}$
I. $int_{1}^{n+1}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le int_{1}^{n}{f(x)dx}$
J. $int_{1}^{n}{f(x)dx}le sumlimits_{k=1}^{n}{f(k)}le int_{1}^{n}{f(x)dx}$
Answer: E
The compound that can be distinguished by Molish reagent among the following groups is

Options:
A. Emodin and Chrysophanol Glucoside
B. Emodin and Emodin Glucoside
C. Emodin and Rhein
D. Emodin and Aloerhizin
E. Emodin and Rhein Glucoside
F. Emodin and Aloerhizin Glucoside
G. Emodin and Chrysophanol
Answer: B
When dealing with China's ancient cultural heritage and foreign cultures, the principle of 'using the past for the present' and 'using the foreign for China' should be adhered to. The philosophical basis for this attitude towards Chinese and foreign cultures is

Options:
A. the dialectical relationship between cause and effect
B. the dialectical relationship between the universal and the particular
C. the dialectical relationship between the specific and the general
D. the dialectical relationship between the whole and its parts
E. the dialectical relationship between identity and struggle
F. the dialectical relationship between truth and value
G. the dialectical relationship between the absolute and the relative
H. the principle of dialectical negation
I. the dialectical relationship between practice and knowledge
J. the dialectical relationship between quantitative change and qualitative change
Answer: H
The stimulation condition that causes complete tetanic contraction of skeletal muscle is

Options:
A. continuous suprathreshold stimuli with intervals slightly greater than the contraction period
B. continuous suprathreshold stimuli with intervals equal to the relaxation period
C. a single stimulus of sufficient intensity
D. a single stimulus of sufficient intensity and rate of change in time
E. continuous suprathreshold stimuli with intervals equal to the contraction period
F. a single stimulus of sufficient intensity and duration
G. continuous suprathreshold stimuli with intervals slightly less than the relaxation period
H. continuous suprathreshold stimuli with intervals less than the contraction period
I. continuous suprathreshold stimuli with intervals slightly less than the contraction period
J. continuous suprathreshold stimuli with intervals slightly greater than the relaxation period
Answer: H
Company A in China and Company B in France have signed a contract for importing clothing to China based on the price term of CIF. When the goods arrived at the port of destination, Company A found that two cases of goods were damaged due to improper packing, therefore, it refused to accept them, and the goods were damaged again by rain at the port of destination. In accordance with the United Nations Convention on Contracts for the International Sale of Goods and related rules, which of the following options is correct

Options:
A. Company B shall bear the loss of the goods due to improper packing, but Company A must still pay for the undamaged goods.
B. Company B shall bear the loss of the goods due to improper packing, but Company A must still pay for the damaged goods.
C. Company A shall bear the loss of the goods due to improper packing, as they were responsible for inspecting the goods before acceptance.
D. Under CIF conditions, French Company shall take out insurance, therefore, the Company B shall bear the risks in transit
E. Company A shall bear the loss of the goods due to improper packing, as they refused to take delivery.
F. Company A shall bear the loss of the goods caused by the rain at the port of destination, as they refused to take delivery.
G. Company B shall bear the loss of the goods due to improper packing
H. Since the contract has already selected CIF trade term, it shall not apply to the Convention.
I. As a result of Company A's refusal to accept the goods, Company B shall bear the loss of the goods caused by the rain at the port of destination
J. Company B shall bear the loss of the goods due to improper packing, but Company A must still inspect and report the damage to the insurer.
Answer: G
The correct management for a pregnant woman with concurrent heart disease during the puerperium is

Options:
A. Heart failure can still easily occur within 2 days postpartum
B. Heart failure can still easily occur within 7 days postpartum
C. For those who should not become pregnant again, tubal ligation can be performed around 1 week postpartum
D. Heart failure can still easily occur within 6 days postpartum
E. Heart failure can still easily occur within 4 days postpartum
F. Heart failure can still easily occur within 1 week postpartum
G. Women with cardiac function class III or above should not breastfeed
H. Heart failure can still easily occur within 5 days postpartum
I. Heart failure can still easily occur within 3 days postpartum
J. Continue to use antibiotics to prevent infection until about 1 week postpartum, and stop the medication when there are no signs of infection
Answer: I
If the code W(w1, w2, ... wq) satisfies the Kraft inequality for the lengths of its codewords, then:

Options:
A. W must be a prefix-free code
B. uncertain
C. W must be a uniquely decodable or prefix-free code
D. W must be a uniquely decodable or instantaneous code
E. W must be an instantaneous code
F. W must be a uniquely decodable code
G. W must be a uniquely decodable and instantaneous code
H. W must be a uniquely decodable and prefix-free code
I. W must be a uniquely decodable and non-singular code
J. W must be a non-singular code
Answer: B
Since the 18th National Congress of the Communist Party of China, the historic achievements and transformations in the cause of the Party and the country have shown that the long-term ( ) situation in our country has undergone a fundamental change, and the supply side that constitutes the main social contradiction has changed.

Options:
A. Supply Insufficiency
B. Structural Imbalance
C. Chronic Shortage
D. Excess Supply
E. Shortage Economy
F. Development Lag
G. Excess Demand
H. Chronic Overproduction
I. Chronic Shortage Economy
J. Chronic Underproduction
Answer: E
A 49-year-old female with a 6-year history of hypertension. P 80 beats/min, BP 168/100 mmHg, X-ray examination shows left ventricular hypertrophy. The antihypertensive drug of choice is

Options:
A. nifedipine
B. enalapril
C. captopril
D. clonidine
E. propranolol
F. perindopril
G. ramipril
H. enalaprilat
I. hydrochlorothiazide
J. lisinopril
Answer: C
(x = 0) is the ( ) discontinuity point of the function (f(x) = sin {1 over x})

Options:
A. oscillating
B. jump
C. removable
D. periodic
E. essential
F. infinite
Answer: A
What theoretical tendency of Marx in the 'Economic and Philosophic Manuscripts of 1844' do scholars who focus on this work define as 'Young Marx'?

Options:
A. Scientific Socialism Thought
B. Utopian Socialism Thought
C. Humanism Logic
D. Alienation Theory
E. Class Struggle Thought
F. Humanistic Materialism
G. Labor Value Theory
H. Materialism Thought
I. Existentialism
J. Ethical Socialism Thought
Answer: C
A 27-year-old woman, with regular menstrual cycles, is now 30 weeks amenorrheic. Two days ago, she experienced irregular lower abdominal pain, intermittent. Today, she has had a significant amount of clear vaginal discharge. Physical examination: uterine fundal height 27 cm, fetal heart rate 150 beats per minute, closed cervix, vaginal fluid pH > 7. The best management approach is

Options:
A. intravenous antibiotics and tocolytics
B. intravenous antibiotics and corticosteroids
C. intravenous oxytocin infusion
D. intramuscular progesterone
E. cesarean section to terminate pregnancy
F. intravenous antibiotics and antihypertensives
G. intramuscular antibiotics and tocolytics
H. bed rest
I. intravenous antibiotics and antitoxins
J. intravenous antibiotics and anticonvulsants
Answer: A
The following inequality is correct ( )

Options:
A. (x + y)e^{x + y} < x e^{x} + y e^{2y} \quad (x > 0, y > 0, x \ne y)
B. \( (x + y)e^{x + y} < x e^{x} + y e^{y} \quad (x > 0, y > 0, x \ne y) \)
C. (x + y)e^{x + y} < x e^{x + y} + y e^{x} \quad (x > 0, y > 0, x \ne y)
D. \( rac{e^x + e^y}{2} < e^{rac{x + y}{2}} \quad (x
e y) \)
E. \( (x + y)e^{x + y} < x e^{2x} + y e^{2y} \quad (x > 0, y > 0, x \ne y) \)
F. (x + y)e^{x + y} < x e^{x + y} + y e^{2y} \quad (x > 0, y > 0, x \ne y)
G. (x + y)e^{x + y} < x e^{x + y} + y e^{x + y} \quad (x > 0, y > 0, x \ne y)
H. \( x \ln x + y \ln y < (x + y) \ln rac{x + y}{2} \quad (x > 0, y > 0, x
e y) \)
I. \( rac{x^n + y^n}{2} < \left( rac{x + y}{2} ight)^n \quad (x > 0, y > 0, x
e y, n > 1) \)
J. \( (x + y)e^{x + y} > x e^{2x} + y e^{2y} \quad (x > 0, y > 0, x \ne y) \)
Answer: E