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方程sin(x+π/3)=m/2在[0,π]上有两个解 求实数m的取值范围及两实根之和
人气:144 ℃ 时间:2019-08-21 13:48:25
解答
x∈[0,π]∴x+π/3∈[π/3,4π/3]画出大致图像x+π/3∈[π/3,2π/3]时有两个解sinπ/3=sin2π/3=√3/2sinπ/2=1∴√3/2<=m/2<1∴√3<=m<2m取值范围是[√3,2)两根关于x+π/3=π/2对称∴x1+π/3+x2+π...
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