導(dǎo)數(shù)與積分經(jīng)典例題以及答案

1、高三數(shù)學(xué)導(dǎo)數(shù)與積分經(jīng)典例題以及答案一.教學(xué)內(nèi)容：導(dǎo)數(shù)與積分二.重點(diǎn)、難點(diǎn)：1.導(dǎo)數(shù)公式：cxfy??)(0)(??xfnxxfy??)(1)(????nxnxfxxfysin)(??xxfcos)(??xxfycos)(??xxfsin)(???xaxfy??)(aaxfxln)(??xxfyalog)(??exxfalog1)(??2.運(yùn)算公式)()(])()([xgxfxgxf??????)()()()(])()([xgxfxgxf

2、xgxf???????)()()()()(])()([2xgxgxfxgxfxgxf?????3.切線，過(guò)P（）為切點(diǎn)的的切線，00yx)(xfy?))((000xxxfyy????4.單調(diào)區(qū)間不等式，解為的增區(qū)間，解為的減區(qū)間。0)(??xf)(xfy?0)(??xf)(xfy?5.極值（1）時(shí)，，時(shí)，)(0xax?0)(??xf)(0bxx?0)(??xf∴為極大值)(0xf)(xfy?（2）時(shí)，時(shí)，)(0xax?0)(??xf)(

3、0bxx?0)(??xf∴為的極小值。)(0xf)(xfy?2222222)1(ln21)1(ln2)1(1????????xxxxxxxxxx（6）)(sin)cos(?????xxxyxxxxxxsincossincos?????[例2]如果函數(shù)的圖象在處的切線過(guò)點(diǎn)（0，）并且與)1ln(2)(???xbaxf1?xlb1?l圓C：相離，則點(diǎn)（）與圓C的位置關(guān)系。122??yxba解：解：∴切112)(?????xbaxfl)1(2

4、ln2?????xbabay過(guò)（0，）∴l(xiāng)b1?babab???2ln21∴14ln1??a與圓相離，l112ln222???bababa1122??bbab∴∴bbab2221??122??ba∴點(diǎn)（）在圓內(nèi)ba[例3]函數(shù)在上可導(dǎo)，且，則時(shí)有（)()(xgyxfy??][ba)()(xgxf???)(bax?）A.)()(xgxf?B.)()(xgxf?C.)()()()(afxgagxf???D.)()()()(bfxgbgxf?