指数函数的性质与图像复合函数的单调性课件-高一上学期数学人教B版

Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.知识回顾知识点一指数函数的概念一般地，函数

称为指数函数，其中a为常数

(a>0且a

≠1)y＝ax底数a为大于0且不等于1的常数；指数位置为单一自变量x；ax的系数是1.Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.知识点二指数函数的性质与图像(0，1)1(0，＋∞)增函数减函数

Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.问题引入底数a分类讨论无和无4.1.2指数函数的性质与图像主讲人：孙美宁——复合函数的单调性1理解复合函数的概念；2能判断复合函数；能解决简单的复合函数单调性问题.3Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.知识探究一令令概念辨析下列函数是否为复合函数？1.两个或两个以上的函数经过嵌套式复合成的函数。复合函数：复合函数形式：令t=g(x),则称为内层函数，为外层函数。√××Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.知识探究一12内函数：外函数：分别判断内外函数的单调性;尝试利用定义法判断复合函数在两区间上的单调性.函数的定义域内：Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.知识探究>>><<<<<内：外：复合函数：201知识探究一3该结论能否推广到所有复合函数？减增增增增减减减减增减增复合函数单调性：同增异减Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.例1.求函数

的单调区间。（3）

（3）分别判断内、外函数的单调性

复合函数单调区间的求解：（1）确定函数定义域根据同增异减确定整体单调性

（4）（2）将

分解为内层函数和外层函数Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.变式1.求函数

的单调区间。解：Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.例2.

小结同增异减复合函数单调性概念确定整体单调性求解确定定义域分解内、外函数判断内外函数单调性判断内层函数外层函数两个或两个以上的函数经过嵌套式复合成的函数。随堂检测1.判断下列函数是否为复合函数2.求下列函数的单调区间

×√√√Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.拓展提升解：Pleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.othis.01ABPleasereplacetext,clickaddrelevantheadlinemodlythetextcontentalsocancopyyourconcenttothis.高考链接布置作业1.绿色通道:P9类型三2.书后习题：A3必做题：选做题：课时作业2:4、6Pleasereplacetext,clickaddrelevantheadlinemo