4道SAT数学题目

杭州编辑 2012-10-12 15:01

  下面是4道SAT数学题目的内容,都是关于代数和几何方面的。SAT数学考试是中国考生的强项,但是在掌握了核心知识的同时,大家也要通过练习才能正确的掌握SAT数学题目的出题方式和解题方法。

math image

 

  1.The quadratic functionfis graphed in thex y-plane above. Iffunction f of x is less than or equal to ufor all values ofx, which of the following could be the coordinates of pointP?

  (A)(2 comma 3.5)

  (B)(2.25 comma 3.25)

  (C)(2.5 comma 3)

  (D)(2.75 comma 4)

  (E)(3 comma 2.5)

  2.In a certain lawn-mower factory, 0.06 percent of all mowers produced are defective. On the average, there will be 3 defective mowers out of how many produced?

  (A) 500

  (B) 1800

  (C) 5000

  (D) 18000

  (E) 50000

math imagemath image

  3.The circle above has center P. Given segments of the following lengths, which is the length of the longest one that can be placed entirely inside this circle? 

  Answer Choices

  (A) 6.99

  (B) 7.00

  (C) 7.99

  (D) 8.10

  (E) 14.00

  4.If 22 times 3 times Q = 6, then Q =

  (A) 1 over 11

  (B) 1 over 10

  (C) 10

  (D) 11

  (E) 20

  Explanation

  1.The correct answer is C

  The fact thatfunction f of x less than or equal to ufor all values ofxmeans that the pointP (t comma u)is the maximum of the quadratic functionf, soP (t comma u)must be the vertex of the parabola. The parabola intersects thex-axis at the points(1 comma 0)and(4 comma 0), sotmust be halfway between1and4. Therefore,t = 1 + ((4 - 1) over 2) = 2.5. Of the choices, the only one withx-coordinate equal to2.5is(2.5 comma 3). Therefore,(2.5 comma 3)could be the coordinates of pointP.

  2.The correct answer is C

  Recall that 0.06 percent means 0.06 out of every 100, or 6 out of every 10000. The question asks for an equivalent ratio: 3 out of how many. The ratio 6 out of 10000 can be reduced (by dividing both members by 2) to 3 out of 5000.

  3.The correct answer is C

  Since the radius of the circle is 4, the diameter of the circle is 8. In a circle, the diameter is longer than any segment that can be placed entirely inside the circle. Therefore, segments of length 8.10or length 14.00could not be placed entirely within the circle, and the correct answer is 7.99.

  4.The correct answer is A

  The question states that 22 times 3 times Q = 6. Solving for Q gives Q = 6 over (22 times 3) = 1 over 11 when the fraction is reduced.

  以上就是这4道SAT数学题目的全部内容,后面附有答案解析。大家在备考SAT数学考试的时候,一定要把更多的注意力放在如何掌握SAT数学解题方法和规律上,而不要因为学习过相关知识就请看了SAT数学考试题目。

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