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
问题描述：
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
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...