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1/68,2/68,3/68,递增,递减,4/68,0,0,充分,5/68,6/68,7/68,8/68,9/68,10/68,11/68,12/68,13/68,14/68,15/68,16/68,17/68,18/68,19/68,20/68,21/68,22/68,23/68,24/68,25/68,26/68,27/68,28/68,29/68,30/68,31/68,32/68,33/68,34/68,35/68,36/68,37/68,38/68,39/68,40/68,41/68,42/68,43/68,44/68,45/68,46/68,47/68,48/68,49/68,50/68,51/68,52/68,53/68,方法技巧,易错点睛,1.已知函数解析式求单调区间,实质上是求f(x)0,f(x)0解区间,并注意定义域.,2.含参函数单调性要分类讨论,经过确定导数符号判断函数单调性.,3.已知函数单调性能够利用已知区间和函数单调区间包含关系或转化为恒成立问题两种思绪处理.,1.f(x)为增函数充要条件是对任意x(a,b)都有f(x)0且在(a,b)内任一非空子区间上f(x)不恒为零,应注意此时式子中等号不能省略,不然漏解.,2.注意两种表述“函数f(x)在(a,b)上为减函数”与“函数f(x)减区间为(a,b)”区分.,3.讨论函数单调性要在定义域内进行,不要忽略函数间断点.,54/68,55/68,56/68,57/68,58/68,59/68,60/68,61/68,62/68,63/68,64/68,65/68,66/68,67/68,68/68,
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