若函数f(x)=2sin(π/4+x/2)*cos(π/4+x/2)+asinx(x属于R)的图像关于直线X=π/8对称,则g(x)=asin[(a+1)x]的最小正周期是多少?高一数学,谢谢.
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![若函数f(x)=2sin(π/4+x/2)*cos(π/4+x/2)+asinx(x属于R)的图像关于直线X=π/8对称,则g(x)=asin[(a+1)x]的最小正周期是多少?高一数学,谢谢.](/uploads/image/z/5914243-19-3.jpg?t=%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%3D2sin%28%CF%80%2F4%2Bx%2F2%29%2Acos%28%CF%80%2F4%2Bx%2F2%29%2Basinx%28x%E5%B1%9E%E4%BA%8ER%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%2F8%E5%AF%B9%E7%A7%B0%2C%E5%88%99g%28x%29%3Dasin%5B%28a%2B1%29x%5D%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E6%98%AF%E5%A4%9A%E5%B0%91%3F%E9%AB%98%E4%B8%80%E6%95%B0%E5%AD%A6%2C%E8%B0%A2%E8%B0%A2.)
若函数f(x)=2sin(π/4+x/2)*cos(π/4+x/2)+asinx(x属于R)的图像关于直线X=π/8对称,则g(x)=asin[(a+1)x]的最小正周期是多少?高一数学,谢谢.
若函数f(x)=2sin(π/4+x/2)*cos(π/4+x/2)+asinx
(x属于R)的图像关于直线X=π/8对称,则g(x)=asin[(a+1)x]的最小正周期是多少?
高一数学,谢谢.
若函数f(x)=2sin(π/4+x/2)*cos(π/4+x/2)+asinx(x属于R)的图像关于直线X=π/8对称,则g(x)=asin[(a+1)x]的最小正周期是多少?高一数学,谢谢.
f(x)=2sin(π/4+x/2)*cos(π/4+x/2)+asinx
=sin(x+π/2)+asinx
=asinx+cosx
=√(a²+1)sin(x+φ)
其中cosφ=a/√(a²+1)(取0
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