(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?...(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?求函数在
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![(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?...(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?求函数在](/uploads/image/z/2535287-23-7.jpg?t=%281%2F2%29%E9%AB%98%E4%B8%89%E6%95%B0%E5%AD%A6%E5%87%BD%E6%95%B0.f%28x%29%3Dcos%282x-%E6%B4%BE%2F3%29%2B2sin%28x-%E6%B4%BE%2F4%29sin%28x%2B%E6%B4%BE%2F4%29.%E6%B1%82%E5%87%BD%E6%95%B0%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E5%92%8C%E6%9C%80%E5%A4%A7%E5%80%BC%E6%97%B6x%E9%9B%86%E5%90%88%3F...%281%2F2%29%E9%AB%98%E4%B8%89%E6%95%B0%E5%AD%A6%E5%87%BD%E6%95%B0.f%28x%29%3Dcos%282x-%E6%B4%BE%2F3%29%2B2sin%28x-%E6%B4%BE%2F4%29sin%28x%2B%E6%B4%BE%2F4%29.%E6%B1%82%E5%87%BD%E6%95%B0%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E5%92%8C%E6%9C%80%E5%A4%A7%E5%80%BC%E6%97%B6x%E9%9B%86%E5%90%88%3F%E6%B1%82%E5%87%BD%E6%95%B0%E5%9C%A8)
(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?...(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?求函数在
(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?...
(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?求函数在
(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?...(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?求函数在
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)
=cos(2x-π/3)+cos(-π/2)-cos2x【积化和差】
=cos(2x-π/3)-cos2x
=2sin(π/6)sin(2x-π/6)【和差化积】
=sin(2x-π/6)
最小正周期=2π/2
2x-π/6∈2kπ+π/2
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)
=cos(2x-π/3)+cos(-π/2)-cos2x
=cos(2x-π/3)-cos2x
=2sin(π/6)sin(2x-π/6)
=sin(2x-π/6)
最小正周期=2π/2
2x-π/6∈2kπ+π/2