|a+b| = √[ (cos1.5x-sin0.5x)^2+(sin1.5x-cos0.5x)^2 ] =√(2-2sin2x) =√3
∴sin2x=-1/2
x=kπ-π/12 (k∈Z)
又∵x∈(0,90)
∴ k∈(0,29)且 k∈Z
即 k= 1 到28之间的整数
已知向量a=(cos1.5x,sin1.5x),b=(-sin0.5x,-cos0.5x)x∈(0,90)若|a+b|=√3,求x的值
已知向量a=(cos1.5x,sin1.5x),b=(-sin0.5x,-cos0.5x)x∈(0,90)若|a+b|=√3,求x的值
数学人气:225 ℃时间:2020-01-29 23:29:28
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