兩道SAT數(shù)學(xué)題及解法.

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　　1、The stopping distance of a car is the number of feet that the car travels after the driver starts applying the brakes. The stopping distance of a certain car is directly proportional to the square of the speed of the car, in miles per hour, at the time the brakes are first applied. If the car’s stopping distance for an initial speed of miles per hour is feet, what is its stopping distance for an initial speed of miles per hour?

　　Answer Choices

　　(A) feet

　　(B) feet

　　(C) feet

　　(D) feet

　　(E) feet

　　2、If is divisible by , , and , which of the following is also divisible by these numbers?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　Explanation：

　　1、The correct answer is D

　　The stopping distance is directly proportional to the square of the initial speed of the car. If represents the initial speed of the car, in miles per hour, and represents the stopping distance, you have that the stopping distance is a function of and that , where is a constant. Since the car’s stopping distance is feet for an initial speed of miles per hour, you know that . Therore, , and the car&aposs stopping distance for an initial speed of miles per hour is feet.

　　2、The correct answer is D

　　Since is divisible by , , and , must be a multiple of , as is the least common multiple of , , and . Some multiples of are , , , , and .

　　If you add two multiples of , the sum will also be a multiple of . For example, and are multiples of and their sum, , is also a multiple of .

　　If you add a multiple of to a number that is not a multiple of , the sum will not be a multiple of . For example, is a multiple of and is not. Their sum, , is not a multiple of .

　　The question asks which answer choice is divisible by , , and ; that is, which answer choice is a multiple of . All the answer choices are in the form of "plus a number." Only choice (D), , has added to a multiple of . The sum of and is also a multiple of , so the correct answer is choice (D).

　　以上就是這兩道SAT數(shù)學(xué)題的全部內(nèi)容，后面的題目解答方法非常詳細(xì)。大家可以在備考SAT數(shù)學(xué)考試的時候，利用題目對自己 掌握的知識點(diǎn)進(jìn)行適當(dāng)?shù)臋z查和測試，以找出不足之處進(jìn)行更改。

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