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导数是初等数学与高等数学的重要衔接点,是高考的热点,定位为解决初等数学问题的工具。高考对这部分内容的考查将仍会以导数的应用题为主,如利用导数处理函数的极值、最值和单调性问题和曲线的问题,或者利用导数解决不等问题。一、解决曲线切线问题导数的几何意义的考查一般分为三个层次:求曲线在某点处的方程;执果索因,已知斜率或切线方程探求参数的值;求函数过某点(不一定是切点)的方程。例1求过曲线y=x~3-2x上的点(1,-1)的切线方
Derivatives is an important convergence point between elementary mathematics and advanced mathematics. It is a hot spot for college entrance examination and is positioned as a tool to solve elementary mathematical problems. Examination of this part of the college entrance examination will still be based on the application of derivatives, such as the use of derivative processing extremum, the most value and monotonic problems and curve problems, or the use of derivatives to solve the problem of unequal. First, to solve the problem of tangent of the curve Derivative geometric significance of the test is generally divided into three levels: find the curve at a certain point of the equation; the results of the cable, known slope or tangent equation to explore the value of the parameter; find the function of a point Not necessarily tangent point) of the equation. Example 1 Find the tangent of the curve y = point (1, -1) on x ~ 3-2x