Tập nghiệm của phương trình log₄[x(4 - x)] = 1 là:

Tập nghiệm của hệ bất phương trình  là:

Giá trị của biểu thức log₉(9 + 4) + log₉(9 - 4) + log₉81 bằng:

Với x > 0, đạo hàm của hàm số  bằng :

Hàm số nào sau đây nghịch biến trên R?

Tập nghiệm của bất phương trình 16^x < 3.4^x + 4 là:

Số nghiệm của phương trình (x² - x - 6)log₂(x² - 9) = 0 là:

Phương trình log(1 - 2x) - 2logx = 1 - log(2 - 5x) có nghiệm là:

Tập nghiệm của phương trình  là:

Tập nghiệm của phương trình log₄[x(4 - x)] = 1 là:

Nghiệm của hệ phương trình  là:

Phương trình 7.3^x+1 — 5^x+2 = 3^x+4 — 5^x+3 có nghiệm là giá trị nào sau đây?

Mệnh đề nào sau đây là đúng?

Biểu thức 2^-(2x+1) - 2^-(2x-1) + 2^-2x bằng :

Tập nghiệm của bất phương trình  là:

Các giá trị của a để  là:

Tập nghiệm của phương trình  là:

Cho hàm số f(x) = 2^x. Ta có f(a + 1) - f(a) bằng:

Giá trị của   là kết quả nào sau đây?

Tổng các nghiệm của phương trình 3^2x+2 - 3^x+3 - 3^x + 3 = 0 là:

Tập nghiệm của bất phương trình 27^x + 12^x ≤ 2. 8^x là: 

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Horace Pippin, as an African-American soldier during World War I, was wounded in his right arm. He discovered, however, that by keeping his right wrist steady with his left hand, he could paint and draw. Pippin was not trained, but his artistic sensitivity and intuitive feel for two-dimensional design and the arrangement of colour and patterns made him one of the finest Primitive artists America has produced. Pippin did a series of paintings on the abolitionist John Brown and one on his war experiences, but he shied away from social issues for the most part and achieved his greatestsuccess with scenes of the people and places of his hometown of West Chester, Pennsylvania. His Domino Players, featuring four women gathered around a wooden table in a simple kitchen setting, is an excellent example of his rural domestic scenes.  

Question: The word “arrangement” in line 5 could best be replaced by which of the following?         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Horace Pippin, as an African-American soldier during World War I, was wounded in his right arm. He discovered, however, that by keeping his right wrist steady with his left hand, he could paint and draw. Pippin was not trained, but his artistic sensitivity and intuitive feel for two-dimensional design and the arrangement of colour and patterns made him one of the finest Primitive artists America has produced. Pippin did a series of paintings on the abolitionist John Brown and one on his war experiences, but he shied away from social issues for the most part and achieved his greatestsuccess with scenes of the people and places of his hometown of West Chester, Pennsylvania. His Domino Players, featuring four women gathered around a wooden table in a simple kitchen setting, is an excellent example of his rural domestic scenes.

Question: With which of the following statements would the author agree?         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Horace Pippin, as an African-American soldier during World War I, was wounded in his right arm. He discovered, however, that by keeping his right wrist steady with his left hand, he could paint and draw. Pippin was not trained, but his artistic sensitivity and intuitive feel for two-dimensional design and the arrangement of colour and patterns made him one of the finest Primitive artists America has produced. Pippin did a series of paintings on the abolitionist John Brown and one on his war experiences, but he shied away from social issues for the most part and achieved his greatestsuccess with scenes of the people and places of his hometown of West Chester, Pennsylvania. His Domino Players, featuring four women gathered around a wooden table in a simple kitchen setting, is an excellent example of his rural domestic scenes.  

Question: According to the passage, which of the following is NOT true about primitive art?         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Horace Pippin, as an African-American soldier during World War I, was wounded in his right arm. He discovered, however, that by keeping his right wrist steady with his left hand, he could paint and draw. Pippin was not trained, but his artistic sensitivity and intuitive feel for two-dimensional design and the arrangement of colour and patterns made him one of the finest Primitive artists America has produced. Pippin did a series of paintings on the abolitionist John Brown and one on his war experiences, but he shied away from social issues for the most part and achieved his greatestsuccess with scenes of the people and places of his hometown of West Chester, Pennsylvania. His Domino Players, featuring four women gathered around a wooden table in a simple kitchen setting, is an excellent example of his rural domestic scenes.

Question: Horace Pippin discovered he could paint and draw         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Horace Pippin, as an African-American soldier during World War I, was wounded in his right arm. He discovered, however, that by keeping his right wrist steady with his left hand, he could paint and draw. Pippin was not trained, but his artistic sensitivity and intuitive feel for two-dimensional design and the arrangement of colour and patterns made him one of the finest Primitive artists America has produced. Pippin did a series of paintings on the abolitionist John Brown and one on his war experiences, but he shied away from social issues for the most part and achieved his greatestsuccess with scenes of the people and places of his hometown of West Chester, Pennsylvania. His Domino Players, featuring four women gathered around a wooden table in a simple kitchen setting, is an excellent example of his rural domestic scenes.  

Question: The passage would most likely be required reading in which course?             

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

It is hard to think of a world without gas or electricity. Both are commonly used for lighting and heating today. We now can instantly flick a lighter or strike a match to make a flame. But it was not long ago that there were no such things as matches or lighters. To make fire, it was necessary to strike a piece of iron on flint for sparks to ignite some tinder. If the tinder was damp, or the flint old, you had to borrow some fire from a neighbor. We do not know exactly when or how people first used fire. Perhaps, many ages ago, they found that sticks would burn if they were dropped into some hole where melted lava from a volcano lay boiling. They brought the lighted sticks back to make their fire in a cave. Or, they may have seen trees catch fire through being struck by lightning, and used the trees to start their own fires. Gradually people learned they could start a fire without traveling far to find flames. They rubbed two pieces of wood together. This method was used for thousands of years. When people became used to making fires with which to cook food and stay warm at night, they found that certain resins or gums from trees burnt longer and brighter. They melted resins and dipped branches in the liquid to make torches that lit their homes at night. Iron stands in which torches used to be fixed can still be seen in old buildings of Europe. There was no lighting in city streets until gas lamps, and then electric lamps were installed. Boys ran about London at night carrying torches of burning material. They were called torch boys, or link boys, and earned a living by guiding visitors to friends’ houses at night. For centuries homes were lit by candles until oil was found. Even then, oil lamps were no more effective than a cluster of candles. We read about the splendors and marvels of ancient palaces and castles, but we forget that they must have been gloomy and murky places at night.

Question: What does “they” refer to?         

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Question: The author mentions that all of the following are aware of quantities in some ways EXCEPT  _______       

Animals have an intuitive awareness of quantities. They know without analysis the difference between a number of objects and a smaller number. In his book “The natural History of Selboure” (1786 ), the naturalist Gilbert White tells how he surreptitiously removed one egg a day from a plover's nest , and how the mother laid another egg each day to make up for the missing one. He noted that other species of birds ignore the absence of a single egg but abandon their nests if more than one egg has been removed. It has also been noted by naturalists that a certain type of wasp always provides five–never four, never six-caterpillars for each of their eggs so that their young have something to eat when the eggs hatch. Research has also shown that both mice and pigeons can be taught to distinguish between odd and even numbers of food pieces. These and similar accounts have led some people to infer that creatures other than humans can actually count. They also point to dogs that have been taught to respond to numerical questions with the correct number of barks, or to horses that seem to solve arithmetic problems by stomping their hooves the proper number of times. Animals respond to quantities only when they are connected to survival as a species–as in the case of the eggs–or survival as individuals-as in the case of food. There is no transfer to other situations or from concrete reality to the abstract notion of numbers. Animals can “count” only when the objects are present and only when the numbers involved are small–not more than seven or eight. In lab experiments, animals trained to “count” one kind of object were unable to count any other type. The objects, not the numbers, are what interest them. Animals admittedly remarkable achievements simply do not amount to evidence of counting, nor do they reveal more than innate instincts, refined by the genes of successive generations, or the results of clever, careful conditioning by trainers.              

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Question: The word “accounts” is closest in meaning to   __________    

Animals have an intuitive awareness of quantities. They know without analysis the difference between a number of objects and a smaller number. In his book “The natural History of Selboure” (1786 ), the naturalist Gilbert White tells how he surreptitiously removed one egg a day from a plover's nest , and how the mother laid another egg each day to make up for the missing one. He noted that other species of birds ignore the absence of a single egg but abandon their nests if more than one egg has been removed. It has also been noted by naturalists that a certain type of wasp always provides five–never four, never six-caterpillars for each of their eggs so that their young have something to eat when the eggs hatch. Research has also shown that both mice and pigeons can be taught to distinguish between odd and even numbers of food pieces. These and similar accounts have led some people to infer that creatures other than humans can actually count. They also point to dogs that have been taught to respond to numerical questions with the correct number of barks, or to horses that seem to solve arithmetic problems by stomping their hooves the proper number of times. Animals respond to quantities only when they are connected to survival as a species–as in the case of the eggs–or survival as individuals-as in the case of food. There is no transfer to other situations or from concrete reality to the abstract notion of numbers. Animals can “count” only when the objects are present and only when the numbers involved are small–not more than seven or eight. In lab experiments, animals trained to “count” one kind of object were unable to count any other type. The objects, not the numbers, are what interest them. Animals admittedly remarkable achievements simply do not amount to evidence of counting, nor do they reveal more than innate instincts, refined by the genes of successive generations, or the results of clever, careful conditioning by trainers.              

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Question: The word “surreptitiously” is closest in meaning to 

Animals have an intuitive awareness of quantities. They know without analysis the difference between a number of objects and a smaller number. In his book “The natural History of Selboure” (1786 ), the naturalist Gilbert White tells how he surreptitiously removed one egg a day from a plover's nest , and how the mother laid another egg each day to make up for the missing one. He noted that other species of birds ignore the absence of a single egg but abandon their nests if more than one egg has been removed. It has also been noted by naturalists that a certain type of wasp always provides five–never four, never six-caterpillars for each of their eggs so that their young have something to eat when the eggs hatch. Research has also shown that both mice and pigeons can be taught to distinguish between odd and even numbers of food pieces. These and similar accounts have led some people to infer that creatures other than humans can actually count. They also point to dogs that have been taught to respond to numerical questions with the correct number of barks, or to horses that seem to solve arithmetic problems by stomping their hooves the proper number of times. Animals respond to quantities only when they are connected to survival as a species–as in the case of the eggs–or survival as individuals-as in the case of food. There is no transfer to other situations or from concrete reality to the abstract notion of numbers. Animals can “count” only when the objects are present and only when the numbers involved are small–not more than seven or eight. In lab experiments, animals trained to “count” one kind of object were unable to count any other type. The objects, not the numbers, are what interest them. Animals admittedly remarkable achievements simply do not amount to evidence of counting, nor do they reveal more than innate instincts, refined by the genes of successive generations, or the results of clever, careful conditioning by trainers.              

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions:

Question: The word “odd” refers to which of the following?      

Animals have an intuitive awareness of quantities. They know without analysis the difference between a number of objects and a smaller number. In his book “The natural History of Selboure” (1786 ), the naturalist Gilbert White tells how he surreptitiously removed one egg a day from a plover's nest , and how the mother laid another egg each day to make up for the missing one. He noted that other species of birds ignore the absence of a single egg but abandon their nests if more than one egg has been removed. It has also been noted by naturalists that a certain type of wasp always provides five–never four, never six-caterpillars for each of their eggs so that their young have something to eat when the eggs hatch. Research has also shown that both mice and pigeons can be taught to distinguish between odd and even numbers of food pieces. These and similar accounts have led some people to infer that creatures other than humans can actually count. They also point to dogs that have been taught to respond to numerical questions with the correct number of barks, or to horses that seem to solve arithmetic problems by stomping their hooves the proper number of times. Animals respond to quantities only when they are connected to survival as a species–as in the case of the eggs–or survival as individuals-as in the case of food. There is no transfer to other situations or from concrete reality to the abstract notion of numbers. Animals can “count” only when the objects are present and only when the numbers involved are small–not more than seven or eight. In lab experiments, animals trained to “count” one kind of object were unable to count any other type. The objects, not the numbers, are what interest them. Animals admittedly remarkable achievements simply do not amount to evidence of counting, nor do they reveal more than innate instincts, refined by the genes of successive generations, or the results of clever, careful conditioning by trainers.