SAT官方每日一题(数学) 2017年8月14日.

　　下面是是关于数学方面的2011年8月14日的SAT官方每日一题的内容，题型是选择。SAT官方每日一题是collegeboard每天都会发布的题目，关于SAT考试的三个部分的各个题型。下面我们就一起来看一下这个SAT官方每日一题吧。

　　SAT官方每日一题之数学---选择：

　　Mathematics > Standard Multiple Choice

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

　　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

　　(C) and only

　　(D) and only

　　(E) , , and

　　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 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.

　　下面为大家提供一些和这些SAT官方每日一题相似的题目，供大家练习：　

　　If two sides of the triangle above have lengths and , the perimeter of the triangle could be which of the following?

　　 . 　

　 . 　　

.

　　Answer Choices

　　(A) only

　　(B) only

　　(C) only

　　(D) and only

　　(E) , , and

　　The correct answer is B

　　Explanation

　　Difficulty: Hard

　　In questions of this type, statements , , and should each be considered independently of the others. You must determine which of those statements could be true.

　　Statement cannot be true. The perimeter of the triangle cannot be , since the sum of the two given sides is without even considering the third side of the triangle.

　　Continuing to work the problem, you see that in , if the perimeter were , then the third side of the triangle would be , or . A triangle can have side lengths of , , and . So the perimeter of the triangle could be .

　　Finally, consider whether it is possible for the triangle to have a perimeter of . In this case, the third side of the triangle would be . The third side of this triangle cannot be , since the sum of the other two sides is not greater than . By the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So the correct answer is only.

　　以上就是关于2011年8月14日SAT官方每日一题中数学部分的详细内容，包括了题目和选项以及答案，后面附有一道相关的练习题。大家可以在备考SAT的过程中关注SAT每日一题的内容，这样就可以更好有不间断的练习，也就能在日积月累的过程中得到提高。

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