若函数f(x)=(sinx+cosx)+2cos²x-m在[0,π/2]上有零点,求m的取值范围
若函数f(x)=(sinx+cosx)+2cos²x-m在[0,π/2]上有零点,求m的取值范围
更正:f(x)=(sinx+cosx)²+2cos²x-m在[0,π/2]上有零点,求m的取值范围
更正:f(x)=(sinx+cosx)²+2cos²x-m在[0,π/2]上有零点,求m的取值范围
数学人气:129 ℃时间:2019-08-22 10:44:57
优质解答
题目有误吧,f(x)=(sinx+cosx)²+2cos²x-m在[0,π/2]上有零点即方程 (sinx+cosx)²+2cos²x-m=0在[0,π/2]上有解即求 m=(sinx+cosx)²+2cos²x的值域所以 m=(sinx+cosx)²+2c...
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