问题标题:
已知3sin^2x+2sin^2y=2sinx,则sin^2x+xin^2y的取值范围是
问题描述:

已知3sin^2x+2sin^2y=2sinx,则sin^2x+xin^2y的取值范围是

石民回答:
  3sin^2x+2sin^2y=2sinx∴2sin²y=2sinx-3sin²x≥0∴0≤sinx≤2/3∴2*(sin^2x+xin^2y)=2sin²x+2sinx-3sin²x=-sin²x+2sinx=-(sinx-1)²+1∴sinx=0时,2*(sin^2x+xin^2y)有最小值0...
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