已知函数f(x)=sin(2x+φ)+√3cos(2x+φ)的图像关于直线x=π/6对称,且0
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![已知函数f(x)=sin(2x+φ)+√3cos(2x+φ)的图像关于直线x=π/6对称,且0](/uploads/image/z/3856267-19-7.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dsin%282x%2B%CF%86%29%2B%E2%88%9A3cos%282x%2B%CF%86%29%E7%9A%84%E5%9B%BE%E5%83%8F%E5%85%B3%E4%BA%8E%E7%9B%B4%E7%BA%BFx%3D%CF%80%2F6%E5%AF%B9%E7%A7%B0%2C%E4%B8%940)
已知函数f(x)=sin(2x+φ)+√3cos(2x+φ)的图像关于直线x=π/6对称,且0
已知函数f(x)=sin(2x+φ)+√3cos(2x+φ)的图像关于直线x=π/6对称,且0
已知函数f(x)=sin(2x+φ)+√3cos(2x+φ)的图像关于直线x=π/6对称,且0
f(x)=sin(2x+φ)+√3cos(2x+φ)
=2sin(2x+φ+π/3)
因为图像关于直线x=π/6对称,所以π/3+φ+π/3=kπ+π/2
φ=5π/6
f(x)=2sin(2x+7π/6)
x∈(0,π/2),2x+7π/6∈(7π/6,13π/6),
当x=π/6,2x+7π/6=3π/2时 f(x)取得最小值-2
f(x)无最大值.
如果若x∈(0,π/2],
那么2x+5π/6∈(7π/6,13π/6],
2x+7π/6=13π/6,x=π/2时f(x)取得最大值1
f(x)=sin(2x+φ)+√3cos(2x+φ)
=2sin(2x+φ+π/3)
因为图像关于直线x=π/6对称,所以2*π/6+φ+π/3=kπ+π/2
φ=5π/6
f(x)=2sin(2x+7π/6)
x∈(0,π/2), 2x+5π/6∈(7π/6,13π/6),
当x=π/3, 2x+5π/6=3π/2时 ...
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f(x)=sin(2x+φ)+√3cos(2x+φ)
=2sin(2x+φ+π/3)
因为图像关于直线x=π/6对称,所以2*π/6+φ+π/3=kπ+π/2
φ=5π/6
f(x)=2sin(2x+7π/6)
x∈(0,π/2), 2x+5π/6∈(7π/6,13π/6),
当x=π/3, 2x+5π/6=3π/2时 f(x)取得最小值-2
当x=5π/6, 2x+5π/6=5π/2时 f(x)取得最大值2
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