4道SAT数学选择题练习(2017年6月15日—6月18日).

　　下面是为大家准备的4道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中，一定要加强习题的练习，熟练到能充分理解题意，争取得到满分。

　　1.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

　　(A)only

　　(B)only

　　(C)andonly

　　(D)andonly

　　(E),, and

　　2.

　　In the figure above, a shaded circle with diameteris tangent to a large semicircle with diameterat pointsand. Pointis the center of the semicircle, andis perpendicular to. If the area of the large semicircle is 24, what is the area of the shaded circle?

　　(A) 8

　　(B) 10

　　(C) 12

　　(D) 14

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

　　3.

　　In the xy-plane, the graph of the equation above assumes its maximum value at. What is the value of b?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.Alice bought pens for dollars each, and Ben bought pens for dollars each. Which of the following is the average price per pen, in dollars, for all the pens that Alice and Ben bought?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　参考答案及解析：

　　1.The correct answer is D

　　Explanation

　　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 ofpoints 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 ofpoints of intersection in the figure. (Again, a sketch is the best way to verify this.) Any arrangement of the four lines will again yield eitherorpoints of intersection. Since you can’t obtain four points of intersection, the correct answer isandonly.

　　2.The correct answer is C

　　Explanation

　　Segmentis a radius of the large semicircle, and it is also a diameter of the shaded circle, so the radius of the large semicircle is equal to twice the radius of the shaded circle. Letbe the radius of the shaded circle. Thenis the radius of the large semicircle, and so the area of the semicircle is. This area is given as, and so the area of the shaded circle is.

　　3.The correct answer is D

　　Explanation

　　Choice (D) is correct. Since the graph of the quadratic equationassumes its maximum at, it can be written in the form, whereis some constant. This representation is equivalent to, from which it follows that(and).

　　4.The correct answer is B

　　Explanation

　　The average price per pen

　　Alice spent dollars, and Ben spent the same amount, . The total number of pens they bought is . So the average price per pen will be .

　　以上就是关于4道SAT考试数学选择题练习题及其答案和解析，非常详细。同学们在备考阶段，一定要加强习题的练习以及题意的理解，争取SAT数学满分。

　　下面是为大家准备的4道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中，一定要加强习题的练习，熟练到能充分理解题意，争取得到满分。

　　1.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

　　(A)only

　　(B)only

　　(C)andonly

　　(D)andonly

　　(E),, and

　　2.

　　In the figure above, a shaded circle with diameteris tangent to a large semicircle with diameterat pointsand. Pointis the center of the semicircle, andis perpendicular to. If the area of the large semicircle is 24, what is the area of the shaded circle?

　　(A) 8

　　(B) 10

　　(C) 12

　　(D) 14

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

　　3.

　　In the xy-plane, the graph of the equation above assumes its maximum value at. What is the value of b?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.Alice bought pens for dollars each, and Ben bought pens for dollars each. Which of the following is the average price per pen, in dollars, for all the pens that Alice and Ben bought?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

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