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107學測數學考科-A


<選填題>已知坐標平面上三點(3, log3)、(6, log6)與(12, y)在同一直線上,則y = log __________ 。

答案

斜率相等:\( \frac{\log 6 - \log 3}{6-3} = \frac{y - \log 3}{12-3} \Rightarrow \frac{\log 2}{3} = \frac{y - \log 3}{9} \Rightarrow y = \log 3 + 3\log 2 = \log 24 \)。答案:24 報錯
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