若f(x)=2√3sin(x/3)cos(x/3)-2sin平方(x/3)(1)x属于[0,π],求f(x)的值域和对称中心坐标(2)在三角形ABC中,A,B,C所对的边分别为a,b,c,若f(C)=1,且b平方=ac,求sinA
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![若f(x)=2√3sin(x/3)cos(x/3)-2sin平方(x/3)(1)x属于[0,π],求f(x)的值域和对称中心坐标(2)在三角形ABC中,A,B,C所对的边分别为a,b,c,若f(C)=1,且b平方=ac,求sinA](/uploads/image/z/5409974-38-4.jpg?t=%E8%8B%A5f%EF%BC%88x%EF%BC%89%3D2%E2%88%9A3sin%EF%BC%88x%2F3%EF%BC%89cos%EF%BC%88x%2F3%EF%BC%89-2sin%E5%B9%B3%E6%96%B9%EF%BC%88x%2F3%EF%BC%89%EF%BC%881%EF%BC%89x%E5%B1%9E%E4%BA%8E%5B0%2C%CF%80%5D%2C%E6%B1%82f%EF%BC%88x%EF%BC%89%E7%9A%84%E5%80%BC%E5%9F%9F%E5%92%8C%E5%AF%B9%E7%A7%B0%E4%B8%AD%E5%BF%83%E5%9D%90%E6%A0%87%EF%BC%882%EF%BC%89%E5%9C%A8%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E4%B8%AD%2CA%2CB%2CC%E6%89%80%E5%AF%B9%E7%9A%84%E8%BE%B9%E5%88%86%E5%88%AB%E4%B8%BAa%2Cb%2Cc%2C%E8%8B%A5f%EF%BC%88C%EF%BC%89%3D1%2C%E4%B8%94b%E5%B9%B3%E6%96%B9%3Dac%2C%E6%B1%82sinA)
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若f(x)=2√3sin(x/3)cos(x/3)-2sin平方(x/3)(1)x属于[0,π],求f(x)的值域和对称中心坐标(2)在三角形ABC中,A,B,C所对的边分别为a,b,c,若f(C)=1,且b平方=ac,求sinA
若f(x)=2√3sin(x/3)cos(x/3)-2sin平方(x/3)
(1)x属于[0,π],求f(x)的值域和对称中心坐标
(2)在三角形ABC中,A,B,C所对的边分别为a,b,c,若f(C)=1,且b平方=ac,求sinA
若f(x)=2√3sin(x/3)cos(x/3)-2sin平方(x/3)(1)x属于[0,π],求f(x)的值域和对称中心坐标(2)在三角形ABC中,A,B,C所对的边分别为a,b,c,若f(C)=1,且b平方=ac,求sinA
1
f(x)=√3sin(2x/3)+cos(2x/3)-1
=2sin(2x/3+π/6)-1
=2sin[2(x+π/4)/3]-1
-3≤f(x)≤1
x=-π/4,f(x)=-1对称中心
2
f(C)=1
2(C+π/4)/3=π/2
C+π/4=3π/4
C=π/2
b^2=ac
b^2=c^2-a^2
c^2-a^2=ac
1-(sinA)^2=sinA
(sinA+1/2)^2=5/4
sinA=(√5-1)/2