小学、初中、高中各种试卷真题知识归纳文案合同PPT等免费下载www.doc985.com专题2-4构造函数以及切线归类目录题型01切线求参...................................................................................................................................................................1题型02求“过点”型切线方程...........................................................................................................................................3题型03“过点”切线求参......................................................................................................................................................5题型04“过点”切线条数的判断..........................................................................................................................................7题型05由切线条数求参.......................................................................................................................................................8题型06公切线.....................................................................................................................................................................10题型07特殊构造:幂积型构造.........................................................................................................................................12题型08特殊构造:幂商型构造.........................................................................................................................................15题型09特殊构造:ex的积型构造.....................................................................................................................................16题型10特殊构造:ex的商型构造.....................................................................................................................................18题型11特殊构造:对数型构造.........................................................................................................................................21题型12特殊构造:正弦型构造.........................................................................................................................................23题型13特殊构造:余弦型构造.........................................................................................................................................26题型14复合型构造.............................................................................................................................................................28高考练场..............................................................................................................................................................................30题型01切线求参【解题攻略】求曲线y=f(x)在点P(x0,f(x0))处的切线方程:(1)求出函数y=f(x)在点x=x0处的导数,即曲线y=f(x)在点P(x0,f(x0))处切线的斜率.(2)切线方程为:y=y0+f′(x0)(x-x0).1、设切点(或者给出了切点):P(x0,y0)2、y0=f(x0)3、y=f′(x)k=f′(x0)4、切线方程:y-y0=k(x-x0)小学、初中、高中各种试卷真题知识归纳文案合同PPT等免费下载www.doc985.com【典例1-1】(2023春·重庆·高二校联考期中)若函数的图象在处的切线与直线垂直,则的值为()A.B.2或C.2D.1或【答案】B【分析】由两线垂直可知处切线的斜率为5,利用导数的几何意义有,即可求的值.【详解】由题意知:直线的斜率为,则在处切线的斜率为5,又 ,即,∴,解得或,故选:B.【典例1-2】(山东省烟台市2021-2022学年高三数学试题)已知...