已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(...已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(X)+g(X)的单增
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![已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(...已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(X)+g(X)的单增](/uploads/image/z/4480115-59-5.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28X%29%3Dcos%5E2%28X%2B%E6%B4%BE%2F12%29%2Cg%28X%7D%3D1%2B1%2F2sin2X.1%29X%3DX0%E6%98%AFf%28X%29%E7%9A%84%E4%B8%80%E6%9D%A1%E5%AF%B9%E7%A7%B0%E8%BD%B4%2C%E6%B1%82g%28X0%29%E7%9A%84%E5%80%BC%EF%BC%9B2%29%E6%B1%82h%28X%29%3Df%28...%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28X%29%3Dcos%5E2%28X%2B%E6%B4%BE%2F12%29%2Cg%28X%7D%3D1%2B1%2F2sin2X.1%29X%3DX0%E6%98%AFf%28X%29%E7%9A%84%E4%B8%80%E6%9D%A1%E5%AF%B9%E7%A7%B0%E8%BD%B4%2C%E6%B1%82g%28X0%29%E7%9A%84%E5%80%BC%EF%BC%9B2%29%E6%B1%82h%28X%29%3Df%28X%29%2Bg%28X%29%E7%9A%84%E5%8D%95%E5%A2%9E)
已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(...已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(X)+g(X)的单增
已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(...
已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(X)+g(X)的单增
已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(...已知函数f(X)=cos^2(X+派/12),g(X}=1+1/2sin2X.1)X=X0是f(X)的一条对称轴,求g(X0)的值;2)求h(X)=f(X)+g(X)的单增
cos2x=2cos^2x-1
f(x)=1/2+cos(2x+π/6)/2
2x0+π/6=π+2kπ
x0=5π/12+kπ
g(x0)=1+1/2sin(5π/6+2kπ)=5/4
h(x)=1/2+cos(2x+π/6)/2+1+1/2sin2x
=3/2+0.5*sin(2x+π/3)
区间(π/12+kπ,7π/12+kπ)
1) f(X)=(1/2)cos(2x+π/6)+1/2
由题意2x0+π/6=kπ 2x0=kπ-π/6
g(x0)=1+1/2sin(kπ-π/6)=5/4或3/4
2) h(x)=1/2+(1/2)cos(2x+π/6)+1+(1/2)sin2x
=3/2+(√3/2)*cos2x
单增区间x∈[kπ-π/2, kπ]
(1). f(x)={[cos(2x+派/6)+1]+1}/2
所以,为求Xo,带入原方程:2Xo+派/6=K派 K为任意整数
将Xo带入个g(x),解得:Xo=1+3/(根号3)
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