6道SAT数学选择题.

　　下面是6道SAT数学选择题的内容，包括了代数和几何两个部分。SAT数学选择题可以帮助大家更快更好的了解这个题型，可以帮助大家熟悉SAT数学词汇，掌握解题技巧，非常有用。大家一起来练习一下吧，不是很难。

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　　Read the following SAT test question and then click on a button to select your answer.

　　1.Ifand, and if, which of the following is true?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.If it is now 4:00 p.m. Saturday, in hours from now, what time and day will it be? (Assume no daylight saving time changes in the period.)

　　Answer Choices

　　(A) 5:00 a.m. Saturday

　　(B) 1:00 a.m. Sunday

　　(C) 5:00 p.m. Tuesday

　　(D) 1:00 a.m. Wednesday

　　(E) 5:00 a.m. Wednesday

　　3. Central High School, the math club has members and the chess club has members. If a total of students belong to only one of the two clubs, how many students belong to both clubs?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.If , what is the value of ?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　5.In the figure above, the circle with center and the circle with center are tangent at point . If the circles each have radius , and if line is tangent to the circle with center at point , what is the value of ?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E) It cannot be determined from the information given.

　　6.Ten cars containing a total ofpeople passed through a checkpoint. If none of these cars contained more thanpeople, what is the greatest possible number of these cars that could have contained exactlypeople?

　　Answer Choices

　　(A) One

　　(B) Two

　　(C) Three

　　(D) Four

　　(E) Five

　　Explanation

　　1.The correct answer is D

　　Ifand, and if, then rewritingasgives. It follows that, and so. This last equation is equivalent to.

　　2.The correct answer is E

　　Since each day has hours, it is a good idea to divide by to find the number of complete intervals in hours and the number of hours remaining after the intervals have been accounted for. When is divided by , the quotient is and the remainder is . The complete intervals tell you that days, or one full week plus days, go by, bringing you to Tuesday at 4:00 p.m. The additional hours take you into the next day, Wednesday. The hours will end at 5:00 a.m. on Wednesday.

　　3.The correct answer is C

　　Let stand for the number of students who belong to both clubs. The members of the math club can be broken down into two groups: those who are in both clubs (there are students in this category) and those who are in the math club only (there are students in this category).

　　The members of the chess club can also be broken down into two groups: students who are in both clubs and students who are in the chess club only.

　　Since a total of students belong to only one of the two clubs, you know that . Solving this equation gives , so students belong to both clubs.

　　4.The correct answer is A

　　If , then , so .　　

　　5.The correct answer is B

　　The circles each have radius , so . Since the circles are tangent at point , segment contains and . Also, and are perpendicular because a line tangent to a circle forms a right angle with the radius at the point of tangency. Therore, is a right triangle with hypotenuse and side of length . A right triangle with one side of length one-half that of its hypotenuse is a triangle. The angle is opposite side , so .

　　6.The correct answer is D

　　It could not be true that each of the ten cars contained exactlypeople, as this would give a total of only. If nine of the cars contained exactlypeople, the remaining car could have no more thanpeople, for a total of only. Continuing in the same way, a pattern develops. If eight of the cars contained exactlypeople, the remaining two cars could have no more thanpeople each, for a total of only. If seven of the cars contained exactlypeople, the total number of people could be only. From the pattern, you can see that if four of the cars contained exactlypeople, and the remaining six cars contained the maximum ofpeople, the total number would be, as given in the question. Therore, at most four of the ten cars could have contained exactlypeople.

　　以上就是这6道SAT数学选择题的全部内容，很简单。但是大家一定要记得，不要拿这些SAT数学选择题的难度和真正的SAT数学考试的难度相比，因为SAT数学考试的难度比这个要高，大家从中需要了解的是SAT数学考试的出题方式和相关词汇。

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