已知函数f(x)=2-sin(2x+π/6)-2sin^2x x∈R 求f(x)的最小正周期记三角型ABC内角A,B,C的对边长分别为a,b,c若F(B/2)=1 b=1 c=√3,a为多少
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![已知函数f(x)=2-sin(2x+π/6)-2sin^2x x∈R 求f(x)的最小正周期记三角型ABC内角A,B,C的对边长分别为a,b,c若F(B/2)=1 b=1 c=√3,a为多少](/uploads/image/z/3009836-20-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D2-sin%282x%2B%CF%80%2F6%29-2sin%5E2x+x%E2%88%88R+%E6%B1%82f%28x%29%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E8%AE%B0%E4%B8%89%E8%A7%92%E5%9E%8BABC%E5%86%85%E8%A7%92A%2CB%2CC%E7%9A%84%E5%AF%B9%E8%BE%B9%E9%95%BF%E5%88%86%E5%88%AB%E4%B8%BAa%2Cb%2Cc%E8%8B%A5F%28B%2F2%29%3D1+b%3D1+c%3D%E2%88%9A3%EF%BC%8Ca%E4%B8%BA%E5%A4%9A%E5%B0%91)
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已知函数f(x)=2-sin(2x+π/6)-2sin^2x x∈R 求f(x)的最小正周期记三角型ABC内角A,B,C的对边长分别为a,b,c若F(B/2)=1 b=1 c=√3,a为多少
已知函数f(x)=2-sin(2x+π/6)-2sin^2x x∈R 求f(x)的最小正周期
记三角型ABC内角A,B,C的对边长分别为a,b,c若F(B/2)=1 b=1 c=√3,a为多少
已知函数f(x)=2-sin(2x+π/6)-2sin^2x x∈R 求f(x)的最小正周期记三角型ABC内角A,B,C的对边长分别为a,b,c若F(B/2)=1 b=1 c=√3,a为多少
f(x)=2-[(√3/2)sin2x+(1/2)cos2x]+(1/2)[1-cos2x]
=(5/2)-(√3/2)sin2x-(3/2)cos2x
=(5/2)-√3[(1/2)sin2x+(√3/2)cos2x]
=(5/2)-√3sin(2x+π/3)
最小正周期是2π/2=π
f(x)=1-2sin^2x+1-(sin2x*cosπ/6+cos2x*sinπ/6)
=cos2x-根号三/2sin2x-1/2cos2x+1
=1/2cos2x-根号三/2sin2x+1
=-sin(2x-π/6)+1
T=2π/2=π
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