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> 已知函数 f(x)=2sin(x+ π 4 )sin( π 4 -x)+ 3 sin2x （1）求f（x）的最小正周期．（2）在锐角△ABC中，角A，B，C对应的边分别为a，b，c，且f（C）=1，c=2，sinB=2sinA，求△ABC的面积S．

问题：

发布时间：2024-09-07

已知函数 f(x)=2sin(x+

π

4

)sin(

π

4

-x)+

3

sin2x
（1）求f（x）的最小正周期．
（2）在锐角△ABC中，角A，B，C对应的边分别为a，b，c，且f（C）=1，c=2，sinB=2sinA，求△ABC的面积S．

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已知函数 f(x)=2sin(x+ π 4 )sin( π 4 -x)+ 3 sin2x （1）求f（x）的最小正周期． （2）在锐角△ABC中，角A，B，C对应的边分别为a，b，c，且f（C）=1，c=2，sinB=2sinA，求△ABC的面积S．

可能感兴趣的题目：

已知函数 f(x)=2sin(x+

π

4

)sin(

π

4

-x)+

3

sin2x
（1）求f（x）的最小正周期．
（2）在锐角△ABC中，角A，B，C对应的边分别为a，b，c，且f（C）=1，c=2，sinB=2sinA，求△ABC的面积S．