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  3. For each of Questions 1 to 9, compare Quantity A and Quantity B, using additiona

For each of Questions 1 to 9, compare Quantity A and Quantity B, using additiona

游客2024-01-12  20
问题 For each of Questions 1 to 9, compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question.
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.
[br]
选项
答案 A
解析 Recall that in a circle, any diameter is longer than any other chord that is not a diameter. You are given that AB is a diameter of the circle. It follows that AC and AD are chords that are not diameters, since there is only one diameter with endpoint A. Hence, AB is longer than both AC and AD. Note that the average of two numbers is always less than or equal to the greater of the two numbers. Therefore, the average of the lengths of AC and AD, which is Quantity B, must be less than the length of AB, which is Quantity A. The correct answer is Choice A.
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