【f(x)=2（sin2x+根号3/2）cosx-sin3x求函数最大值和最小值.考试.】
<p>问题：【f(x)=2（sin2x+根号3/2）cosx-sin3x求函数最大值和最小值.考试.】<p>答案：↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">秦彤的回答：<div class="content-b">网友采纳 f(x)=2（sin2x+√3/2）cosx-sin3x=2sin2xcosx+√3cosx-sin3x=sin3x+sinx+√3cosx-sin3x=2sin(x+π/3)∴x+π/3=2kπ+π/2,k∈Z,x=2kπ+π/6,k∈Z,f(x)max=2x+π/3=2kπ-π/2,x=2kπ-5π/6,k∈Z,f(x)min=-2...
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