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【官方】SAT数学每日一题附答案和解析(2018年1月2日)

小站整理2018-01-31 10:06:25

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摘要：每日一题的内容是由sat官方所出，质量虽不比真题，但备考期间，由于有效备考资料珍贵有限。大家可以每天拿官方的Daily Practice来练手。以下是2018年1月2日的SAT数学练习部分：

每日一练

Mathematics>Standard Multiple Choice

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

-5.1x+3y=1.2

3.2x-8y=p

In the system of equations, p is a constant. Which of the following describes all values of p for which the system has exactly one solution?

A.p can be any number

B.p can be any number except 1.2

C.p can be any number except -1.2

D.p=1.2

答案：A

解析：

Option A is correct. After rewriting the equations in slope-intercept form (y=mx+b), the slopes of the two equations are different and the constant p is part of the y-intercept. Since the slopes are different regardless of the value of p, the lines represented by the equations must always intersect at exactly one point. So there is always one solution for any value of p.

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