设动直线X=a与函数f(x)=2sin^2(派/4+x)和g(x)=根号3cos2x的图象分别交于M,N两点,则|MN|的最大值为?^2是平方2 括号里是派/(4+x)的意思
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![设动直线X=a与函数f(x)=2sin^2(派/4+x)和g(x)=根号3cos2x的图象分别交于M,N两点,则|MN|的最大值为?^2是平方2 括号里是派/(4+x)的意思](/uploads/image/z/14063116-4-6.jpg?t=%E8%AE%BE%E5%8A%A8%E7%9B%B4%E7%BA%BFX%3Da%E4%B8%8E%E5%87%BD%E6%95%B0f%28x%29%3D2sin%5E2%28%E6%B4%BE%2F4%2Bx%29%E5%92%8Cg%28x%29%3D%E6%A0%B9%E5%8F%B73cos2x%E7%9A%84%E5%9B%BE%E8%B1%A1%E5%88%86%E5%88%AB%E4%BA%A4%E4%BA%8EM%2CN%E4%B8%A4%E7%82%B9%2C%E5%88%99%7CMN%7C%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA%3F%5E2%E6%98%AF%E5%B9%B3%E6%96%B92+%E6%8B%AC%E5%8F%B7%E9%87%8C%E6%98%AF%E6%B4%BE%2F%284%2Bx%29%E7%9A%84%E6%84%8F%E6%80%9D)
设动直线X=a与函数f(x)=2sin^2(派/4+x)和g(x)=根号3cos2x的图象分别交于M,N两点,则|MN|的最大值为?^2是平方2 括号里是派/(4+x)的意思
设动直线X=a与函数f(x)=2sin^2(派/4+x)和g(x)=根号3cos2x的图象分别交于M,N两点,则|MN|的最大值为?
^2是平方2 括号里是派/(4+x)的意思
设动直线X=a与函数f(x)=2sin^2(派/4+x)和g(x)=根号3cos2x的图象分别交于M,N两点,则|MN|的最大值为?^2是平方2 括号里是派/(4+x)的意思
MN长度=gx-fx
=根号3cos2x-2sin^2(派/4+x)
=根号3cos2x + 1-cos2(x+π/4)
=根号3cos2x + sin2x +1
=2sin(2x+π/3)+1
最大值 3 当且仅当2x+π/3=2kπ+π/2 k∈z
数形结合把
设动直线X=a与函数f(x)=2sin^2(派/4+x)和g(x)=根号3cos2x的图象分别交于M,N两点,则|MN|的最大值为?^2是平方2 括号里是派/(4+x)的意思
若动直线x=a与函数f(x)=sin(x+π/6)+sin(x-π/6)和g(x)=cosx的图像分别交于M,N两点,则|MN|的最大值
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