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SAT数学选择题练习(一)
来源:毕达教育 发布时间:2012-01-12 11:08:13
SAT数学考试在于多做练习题,找到同一类题的解题秘诀,下面毕达教育的老师整理了一道SAT数学题目,选择题。该题是SAT官网每日一题发布的。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。
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
The least number of marbles one would need in order to place 4
marbles on each line of the figure above is
Answer Choices
(A) 5
(B) 10
(C) 14
(D) 15
(E) 20
The correct answer is B
Explanation
Since a point that is located where two lines intersect is considered to lie on both of those lines, you want to put marbles on as many intersection points of the lines in the figure as possible in order to minimize the number of marbles needed. There are 10
points where two lines intersect. With a marble at each of these 10 locations, there are then exactly 4 marbles on each line of the figure. Thus, the least number of marbles needed is10.
下面是一道和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 5 and 6, the perimeter of the triangle could be which of the following?
①.11;②.15;③.24
Answer Choices
(A)①only
(B) ②only
(C) ③only
(D) ②and ③only
(E) ①,②, and③
The correct answer is B
Explanation
Difficulty: Hard
In questions of this type, statements ①,②, and③should each be considered independently of the others. You must determine which of those statements could be true.
Statement ①cannot be true. The perimeter of the triangle cannot be ②, since the sum of the two given sides is ②without even considering the third side of the triangle.
Continuing to work the problem, you see that in ②, if the perimeter were 15, then the third side of the triangle would be 15-(6+5), or 4. A triangle can have side lengths of 4, 5, and6. So the perimeter of the triangle could be 15.Finally, consider whether it is possible for the triangle to have a perimeter of 24. In this case, the third side of the triangle would be 24-(6+5)=13. The third side of this triangle cannot be 13, since the sum of the other two sides is not greater than13. 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 ②only.
以上就是该SAT数学选择的详细内容,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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