如果曲线Y=f(x)在点(x,y)处的切线斜率与x2成正比,并且此曲线过点(1,-3)和(2,11),则此曲线方程为(  ).A.Y=3-2 B.Y=2...

作者: tihaiku 人气: - 评论: 0
问题 如果曲线Y=f(x)在点(x,y)处的切线斜率与x2成正比,并且此曲线过点(1,-3)和(2,11),则此曲线方程为(  ).
选项 A.Y=3-2 B.Y=2x3-5 C.Y=x2-2 D.Y=2x2-5
答案 B
解析 由曲线过点(1,-3)排除A、C项.由此曲线过点(2,11)排除D,故选B.Y=2x3-5显然过点(1,-3)和(2,11),且它在(x,Y)处的切线斜率为6x2,显然满足与x2成正比.

相关内容:曲线,在点,切线,斜率,过点,方程

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