f(x)=2sin^2(π/4-x)-2根号3cos^2x+根号3如题 1.求最小正周期和单调递减区间 2.求f(x)<m+2在0≤x≤π/6上恒成立,求实数m的取值范围
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![f(x)=2sin^2(π/4-x)-2根号3cos^2x+根号3如题 1.求最小正周期和单调递减区间 2.求f(x)<m+2在0≤x≤π/6上恒成立,求实数m的取值范围](/uploads/image/z/2484165-21-5.jpg?t=f%28x%29%3D2sin%5E2%28%CF%80%2F4-x%29-2%E6%A0%B9%E5%8F%B73cos%5E2x%2B%E6%A0%B9%E5%8F%B73%E5%A6%82%E9%A2%98+1.%E6%B1%82%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E5%92%8C%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%E5%8C%BA%E9%97%B4+2.%E6%B1%82f%28x%29%EF%BC%9Cm%2B2%E5%9C%A80%E2%89%A4x%E2%89%A4%CF%80%2F6%E4%B8%8A%E6%81%92%E6%88%90%E7%AB%8B%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
f(x)=2sin^2(π/4-x)-2根号3cos^2x+根号3如题 1.求最小正周期和单调递减区间 2.求f(x)<m+2在0≤x≤π/6上恒成立,求实数m的取值范围
f(x)=2sin^2(π/4-x)-2根号3cos^2x+根号3如题
1.求最小正周期和单调递减区间 2.求f(x)<m+2在0≤x≤π/6上恒成立,求实数m的取值范围
f(x)=2sin^2(π/4-x)-2根号3cos^2x+根号3如题 1.求最小正周期和单调递减区间 2.求f(x)<m+2在0≤x≤π/6上恒成立,求实数m的取值范围
二倍角公式:f(x)=1-cos(π/2 - 2x) -√3(1+cos2x)+√3=1-sin2x-√3cos2x=1-2sin(2x+π/3); 最小正周期T=2π/2=π; 递减区间即 sin(2x+π/3)的递增区间,2kπ-π/2=
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