國中教甄｜數學數學109 年第 90 題單選題

Points S and T lie on the circle with equation $x^{2} + y^{2} = 16$ If S and T have identical y-coordinates but distinct x-coordinates, then which of the following is NOT the possible distance between S and T?

A5.6

B8.0

C$\pi$

D11.3正確答案

答案與詳解

正確答案

同 y 座標的兩點在圓上形成水平弦，弦長最大為直徑 8，因此 11.3 不可能。

11.3 大於圓的直徑 8，圓上任意兩點距離都不可能超過直徑，因此不可能是 S 與 T 的距離。

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Points S and T lie on the circle with equation x2+y2=16 If S and T have identical y-coordinates but distinct x-coordinates, then which of the following is NOT the possible distance between S and T?