已知函数f(x)=sinx(x∈R),则下列四个说法:
①函数g(x)=
是奇函数;
②函数f(x)满足:对任意x1,x2∈[0,π]且x1≠x2都有f(
)<
[f(x1)+f(x2)];
③若关于x的不等式f2(x)﹣f(x)+a≤0在R上有解,则实数a的取值范围是(﹣∞,
];
④若关于x的方程3﹣2cos2x=f(x)﹣a在[0,π]恰有4个不相等的解x1,x2,x3,x4;则实数a的取值范围是[﹣1,﹣
),且x1+x2+x3+x4=2π;
其中说法正确的序号是_____ .
①函数g(x)=
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540417859584/1572540423503872/STEM/e63efb963d2240c3b09e46b57e2f844b.png?resizew=125)
②函数f(x)满足:对任意x1,x2∈[0,π]且x1≠x2都有f(
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540417859584/1572540423503872/STEM/6821df5b64764e07ab6e4f34ff53e32d.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540417859584/1572540423503872/STEM/eb21e70ec1574de3852569ecb43afbf8.png?resizew=10)
③若关于x的不等式f2(x)﹣f(x)+a≤0在R上有解,则实数a的取值范围是(﹣∞,
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540417859584/1572540423503872/STEM/2e0d0e7f27164e02a17335a80dcd00c4.png?resizew=10)
④若关于x的方程3﹣2cos2x=f(x)﹣a在[0,π]恰有4个不相等的解x1,x2,x3,x4;则实数a的取值范围是[﹣1,﹣
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540417859584/1572540423503872/STEM/3f53afa90d3b44dd8dee78990512f06b.png?resizew=10)
其中说法正确的序号是
更新时间:2016-12-04 04:04:35
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【知识点】 三角函数的图象与性质
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