已知f(x)=2sin(x+θ/2)cos(x+θ/2)+2√3cos^2(x+θ/2)-√3⑴若0≤θ≤π,求θ,使函数f(x)为偶函数;⑵在⑴成立的条件下,求满足方程f(x)=1,且x∈[-π,π]的x的集合.
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![已知f(x)=2sin(x+θ/2)cos(x+θ/2)+2√3cos^2(x+θ/2)-√3⑴若0≤θ≤π,求θ,使函数f(x)为偶函数;⑵在⑴成立的条件下,求满足方程f(x)=1,且x∈[-π,π]的x的集合.](/uploads/image/z/2757850-34-0.jpg?t=%E5%B7%B2%E7%9F%A5f%EF%BC%88x%EF%BC%89%3D2sin%EF%BC%88x%2B%CE%B8%2F2%EF%BC%89cos%EF%BC%88x%2B%CE%B8%2F2%EF%BC%89%2B2%E2%88%9A3cos%5E2%EF%BC%88x%2B%CE%B8%2F2%EF%BC%89-%E2%88%9A3%E2%91%B4%E8%8B%A50%E2%89%A4%CE%B8%E2%89%A4%CF%80%2C%E6%B1%82%CE%B8%2C%E4%BD%BF%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E4%B8%BA%E5%81%B6%E5%87%BD%E6%95%B0%3B%E2%91%B5%E5%9C%A8%E2%91%B4%E6%88%90%E7%AB%8B%E7%9A%84%E6%9D%A1%E4%BB%B6%E4%B8%8B%2C%E6%B1%82%E6%BB%A1%E8%B6%B3%E6%96%B9%E7%A8%8Bf%EF%BC%88x%EF%BC%89%3D1%2C%E4%B8%94x%E2%88%88%5B-%CF%80%2C%CF%80%5D%E7%9A%84x%E7%9A%84%E9%9B%86%E5%90%88.)
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已知f(x)=2sin(x+θ/2)cos(x+θ/2)+2√3cos^2(x+θ/2)-√3⑴若0≤θ≤π,求θ,使函数f(x)为偶函数;⑵在⑴成立的条件下,求满足方程f(x)=1,且x∈[-π,π]的x的集合.
已知f(x)=2sin(x+θ/2)cos(x+θ/2)+2√3cos^2(x+θ/2)-√3
⑴若0≤θ≤π,求θ,使函数f(x)为偶函数;
⑵在⑴成立的条件下,求满足方程f(x)=1,且x∈[-π,π]的x的集合.
已知f(x)=2sin(x+θ/2)cos(x+θ/2)+2√3cos^2(x+θ/2)-√3⑴若0≤θ≤π,求θ,使函数f(x)为偶函数;⑵在⑴成立的条件下,求满足方程f(x)=1,且x∈[-π,π]的x的集合.
⑴偶函数f(x)=f(-x)
后面两项就不要看了,肯定满足
使得2sin(x+θ/2)cos(x+θ/2)=2sin(-x+θ/2)cos(-x+θ/2)
正余弦函数可以解开