SAT数学练习题目五道.

2017-08-06 作者： 275阅读

　　下面为大家推荐的是五道SAT数学练习题的内容，后面附有详细的答案解析。SAT数学题对于中国考生来说难度不大，但是想要拿到高分也不是一件那么容易的事，需要经过大家不断的练习才行。

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　　1.In a class ofseniors, there areboys for everygirls. In the junior class, there areboys for everygirls. If the two classes combined have an equal number of boys and girls, how many students are in the junior class?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.Four distinct lines lie in a plane, and exactly two of them are parallel. Which of the following could be the number of points where at least two of the lines intersect?

. Three　

. Four　　

. Five

　　Answer Choices

　　(A) only

　　(B)only

　　(D) and only

　　(E) , , and

　　3.If the graph of the functionin the-plane contains the points,, and, which of the following CANNOT be true?

　　(A) The graph ofhas a maximum value.

　　(B)for all pointson the graph of.

　　(D) The graph ofis a line.

　　(E) The graph ofis a parabola.

　　4.All numbers divisible by both and are also divisible by which of the following?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　5.In a survey, a group of students from Westville High School were asked about their favorite movie genre. Each student in the group selected exactly one movie genre, and the data collected are summarized in the circle graph above. If 40 more students chose Action than Fiction, how many students were surveyed in total?

　　(A) 100

　　(B) 150

　　(D) 250

　　(E) 300

　　Explanation

　　1.The correct answer is D

　　Among theseniors, there areboys for everygirls, soof the seniors, or, are boys and, or, are girls. Among the juniors,are boys andare girls. Ifstands for the total number of juniors, thenare boys andare girls. The total number of senior and junior boys is. The total number of senior and junior girls is. The question states that these quantities are equal, so. Solving this gives, or　.

　　2.The correct answer is D

　　Since exactly two of the four lines are parallel, the other two lines are not parallel. If the two non-parallel lines intersect at a point that is not on either one of the parallel lines, then the configuration of lines will give a total of points of intersection. (The best way to verify this is by drawing the two parallel lines and then putting in the other two lines.) If, on the other hand, the two non-parallel lines intersect at a point that is on one of the parallel lines, then there will be a total of points of intersection in the figure. (Again, a sketch is the best way to verify this.) Any arrangement of the four lines will again yield either or points of intersection. Since you can’t obtain four points of intersection, the correct answer is and only.

　　3.The correct answer is D

　　If the graph of the function, which contains the points,, and, were a line, then the slope of the segment connecting the pointsandwould be the same as the slope of the segment connecting the pointsand. However, the slope of the segment connecting the pointsandis, and the slope of the segment connecting the pointsandis. Therore, the graph ofcannot be a line.

　　The statements in the other four options could be true. For example, if the equation ofwere, then the graph ofwould contain the points,, and. The graph ofwould be a parabola symmetric with respect to the line with equation. The maximum value ofwould occur at the point, andwould be true for all pointson the graph of.

　　4.The correct answer is A

　　All numbers divisible by both and are the multiples of and . Since and have no prime factor in common , then the least common multiple of and is equal to their product, namely . Every other multiple of and is divisible by . Thus, if is divisible by a number then all the multiples of and are divisible by that number. Therore, it is enough to check by which number in the given options is divisible. Only dividesand none of the other do. The answer must be

　　5.The correct answer is D

　　From the circle graph,of the students surveyed chose Action andchose Fiction as their favorite movie genre. Hencestudents is equal toof the total number of students surveyed. Letbe the number of students surveyed; then the last statement can be written symbolically as. Solving forgives. Therore, the total number of students surveyed was.

　　以上就是这五道SAT数学练习题目的全部内容，非常详细。大家可以在备考自己的SAT数学考试的时候，对此加以适当的参考和借鉴。