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1、导数的几何意义普通高中课程标准实验教科书海南华侨中学 张红选修22一:温故xy0A温故知新 诱发思考Bxy0C二:知新温故知新 诱发思考温故知新 诱发思考【实验观察,思维辨析】实验观察如图图,当点Pn(xn,yn)(n=1,2,3,4)沿着曲线线f(x)趋趋近点P (x0,y0)时时,割线线PPn的变变化趋势趋势 是什么?【观察发现,思维升华 】T当 时结论: 函数f(x)在x0点处的导数f(x0) 就是函数图像在该点处的切线的 斜率.即 f(x0)=k切线【学而习之,小试牛刀 】【学而习之,游刃有余 】例2:如图,它表示跳水运动中高度随时间变化 的函数 的图象。根据图象, 请描述比较曲线 在
2、0.5秒、1秒、2秒附近的变 化情况。0th【课堂小结,回味悠长 】导数的几何意义:“以直代曲”的数学思想方法。【课后思考,巩固新知 】海南华侨中学数学组博客网址http:/ (*&%!#ZYWVUTRQPOMLKJHGFECBAzxwvusrqpnmlkihgfdcba87653210-)(*%$!#YXWVTSRQONMLJIHGEDCBzyxvutsqponlkjigfedba98654310+-(*&%!#ZYWVUTRQPOMLKJHGFECBAzxwvusrqpnmlkihgfdcba87653210-)(*%$!#YXWVTSRQONMKJIHFEDCAzyxvutsqponlk
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