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已知0≤x≤π/2求使根号3sinx+cosx=4m-6/4-m有意义的实数m的取值范围
人气:129 ℃ 时间:2019-10-18 20:10:38
解答
0≤x≤π/2√3sinx+cosx = (4m-6)/(4-m)2(sinxcosπ/3+cosxsinπ/3) = (4m-6)/(4-m)sin(x+π/3) = (2m-3)/(4-m)-1≤(2m-3)/(4-m)≤1(2m-3)/(4-m)+1≥0,并且(2m-3)/(4-m)-1≤0(m+1)/(4-m)≥0,并且(3m-7)/(4-m)≤0(m+1...
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