高一上期末数学考试解题疑问:10,对于函数f(x)=cosx+sinx,给出下列四个命题:1)存在a∈(0,π/2),使f(a)=4/3;2)存在a∈(0,π/2),使f(x+a)=f(x+3a) 3) 存在φ∈R,使函数f(x+φ)的图像关于y轴对称4)函数f(x
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![高一上期末数学考试解题疑问:10,对于函数f(x)=cosx+sinx,给出下列四个命题:1)存在a∈(0,π/2),使f(a)=4/3;2)存在a∈(0,π/2),使f(x+a)=f(x+3a) 3) 存在φ∈R,使函数f(x+φ)的图像关于y轴对称4)函数f(x](/uploads/image/z/3857787-27-7.jpg?t=%E9%AB%98%E4%B8%80%E4%B8%8A%E6%9C%9F%E6%9C%AB%E6%95%B0%E5%AD%A6%E8%80%83%E8%AF%95%E8%A7%A3%E9%A2%98%E7%96%91%E9%97%AE%EF%BC%9A10%2C%E5%AF%B9%E4%BA%8E%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dcosx%2Bsinx%2C%E7%BB%99%E5%87%BA%E4%B8%8B%E5%88%97%E5%9B%9B%E4%B8%AA%E5%91%BD%E9%A2%98%EF%BC%9A1%EF%BC%89%E5%AD%98%E5%9C%A8a%E2%88%88%280%2C%CF%80%2F2%29%2C%E4%BD%BFf%28a%29%3D4%2F3%3B2%29%E5%AD%98%E5%9C%A8a%E2%88%88%280%2C%CF%80%2F2%29%2C%E4%BD%BFf%28x%2Ba%29%3Df%28x%2B3a%29+3%29+%E5%AD%98%E5%9C%A8%CF%86%E2%88%88R%2C%E4%BD%BF%E5%87%BD%E6%95%B0f%28x%2B%CF%86%29%E7%9A%84%E5%9B%BE%E5%83%8F%E5%85%B3%E4%BA%8Ey%E8%BD%B4%E5%AF%B9%E7%A7%B04%EF%BC%89%E5%87%BD%E6%95%B0f%EF%BC%88x)
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