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一道关于抛物线的SAT数学题

  下面无忧小编为各位同学搜集整理了一道关于抛物线的SAT数学题,非常详细,希望对大家的SAT数学考试备考有所帮助。

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

  

math image

 

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

  Answer Choices

  (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)

 

  The correct answer is C

  Explanation

  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.

  以上便是一道关于抛物线的SAT数学题介绍,希望对大家的SAT数学考试备考有一定的参考作用,帮助大家更好地备考。无忧小编祝大家都能取得理想的SAT数学考试成绩!想要了解更多关于“SAT数学考试”的信息,请拨打免费留学培训热线:400-680-5851,或者直接点击网页上的“在线咨询”,与我们的无忧培训专家一对一沟通交流!