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f(x)=2sin(2x+π/3)+3在三角形ABC中若f(A)=f(B)=3+根号3三角形面积为根号3求c
人气:242 ℃ 时间:2020-06-20 20:52:39
解答
2sin(2A+π/3)+3=3+√3sin(2A+π/3)=√3/2因为在三角形ABC中2A+π/3=2π/3A=π/6=B,C=2π/3根据正弦定理a/sinA =b/sinB= c/sinCa = (c/sinC)sinA = c/√3b=c/√3S(△ABC)= (1/2)absinC√3 = (1/2) (c^2/3)(√3/2)c^2...
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