4道SAT数学选择题练习(2017年6月9日—6月12日).

2017-08-06 作者： 174阅读

　　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.,,, andare points on a line, withthe midpoint of segment. The lengths of segments,, andare,, and, respectively. What is the length of segment?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.In the xy-plane, line passes through the pointsand. Lineis perpendicular to line. What is the slope of line?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　3.A geologist hasrocks of equal weight. Ifrocks and a-ounce weight balance on a scale withrocks and a-ounce weight, what is the weight, in ounces, of one of these rocks?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　,,,,, ...

　　4.The first term of the sequence above is. Which of the following could be the formula for finding theterm of this sequence for any positive integer?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　参考答案及解析：

　　1.The correct answer is B

　　Explanation

　　The key to this question lies in not jumping to incorrect conclusions. The question names the points on a line. It gives you a variety of information about the points. The one thing it does not do is tell you the order in which the points fall.

　　Many students assume that the order of the points is, then, then, then.As you will see, if you try to locate the points in this order, you will be unable to answer the question.

　　What Is the Question Asking?

　　The question asks for the length of line segment. In order to find this length, you have to establish the relative positions of the four points on the line.

　　What Do You Know?

　　Try to draw the figure. You might be tempted to locate pointfirst. Unfortunately, you don&apost have enough information about, yet, to place it.

　　You can place,, andbecauseis the midpoint of.

　　You know the lengths of three of the line segments:

　　Because you know whereis, you can label the length of.

　　Build the Figure, Adding What You Know and What You Can Figure Out

　　Becauseis the midpoint of, you know thatandare eachunits long.

　　Where can you place point?

　　It has to beunits from, because.

　　It also has to be

　　units from, because.

　　So the only location foris betweenand, but closer to.

　　Place pointand mark the distances.

　　It is now an easy matter to figure out the answer to the question:

　　isunits.

　　isunits closer tothan, soisunits.

　　2.The correct answer is B 　　Explanation 　　Linepasses through the pointsand, so the slope of lineis equal to. Linesand m are perpendicular, so the slope of line m is equal to the negative reciprocal of the slope of line. Therore, the slope of line m is. 　　3.The correct answer is C 　　Explanation 　　Letequal the weight of each rock, in ounces. The weight on one side of the scale isounces and the weight on the other side isounces. Since the two weights balance, you can write the equation. Solving this equation yields.

　　4.The correct answer is B

　　Explanation

　　You do not know the value of theterm or theterm of the sequence, but you do know the values of the,, andterms. The correct formula must giveas the value of theterm,as the value of theterm, andas the value of theterm. Choice E,, gives, not, as the value of theterm. Choice A,, gives, not, as the value of theterm. Choice C,, gives, not, as the value of theterm. Choice D,, gives, not, as the value of theterm. This leaves choice B,, which gives the correct values for the,, andterms of the sequence.

　　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。

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