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导数是新课程中增加的一个重要内容,从2000年至今全国新课程高考卷的导数考查力度逐年增大,考点涉及了导数的所有知识点,并呈现出一种趋势,即导数由最初的一种辅助地位上升为分析、解决问题时必不可少的工具,且与其他内容如解几相结合,加强了综合性.一导数几何意义的应用例1过三次函数f(x)=ax~3+bx~2+cx+d(a≠0)上异于对称中心(-3a/b,f(-3a/b))的任一点P1(x1,y1)作f(x)图像的切线,切于另一点P_2(x_2,y_2),再过P2(x_2,y_2)作f(x)图像的切
The derivative is an important part of the new curriculum. From 2000 to present, the examination of the derivative of the national new college entrance examination volume has increased year by year. The test site covers all the knowledge points of the derivative, and presents a trend that the derivative from the initial one. This kind of auxiliary status rises to be an indispensable tool for analyzing and solving problems, and it is combined with other content solutions to strengthen comprehensiveness. Application example of a derivative geometrical meaning 1 over cubic function f(x)=ax~3 Any point on the +bx~2+cx+d(a≠0) different from the center of symmetry (-3a/b,f(-3a/b)) P1(x1,y1) as the tangent to the f(x) image, Cut at another point P_2(x_2,y_2), then P2(x_2,y_2) as the cut of f(x) image