.曲线y=-x3+3x2在点(1,2)处的切线方程为(  ) A.y=3x-1B.y=-3x+5C.曲线y=-x3+3x2在点(1,2)处的切线方程为(  )A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x

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.曲线y=-x3+3x2在点(1,2)处的切线方程为(  ) A.y=3x-1B.y=-3x+5C.曲线y=-x3+3x2在点(1,2)处的切线方程为(  )A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x
.曲线y=-x3+3x2在点(1,2)处的切线方程为(  ) A.y=3x-1B.y=-3x+5C
.曲线y=-x3+3x2在点(1,2)处的切线方程为(  )
A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x

.曲线y=-x3+3x2在点(1,2)处的切线方程为(  ) A.y=3x-1B.y=-3x+5C.曲线y=-x3+3x2在点(1,2)处的切线方程为(  )A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x
:∵y=-x3+3x2∴y'=-3x2+6x,
∴y'|x=1=(-3x2+6x)|x=1=3,
∴曲线y=-x3+3x2在点(1,2)处的切线方程为y-2=3(x-1),
即y=3x-1,
故选A.