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已知函数f(x)=sin(x+)+sin(x-)+cosx+a(a∈R,a为常数).(Ⅰ)...
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已知函数f(x)=sin(x+
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANJJREFU
OE/FU9sNxDAI41bOOmzCHEyRJSivRGnKXf56SJWi1MImNh/RglMZ6FRwAjjT6yAWBLAJH1+j7mqA
EYX10AnF7zpJayTxO2oKZ2wBYhSoQV2oRUcHoZ+2TkYBg7ZVIOuiopOik4LyzESpybuAjElceE46
WN9/8bPFFrfSknH/n6gswudDptl7CtwOuP+8R8WcT4OrB1FbwmDU8I2xt6Ro6LILcmSoooU1GkEV
mV+7FaCgn9HxjD9Ep8YlwVP4zPX3RVh3LxeiWqlfgXk5vhcoRz5Wn9bxVgAAAABJRU5ErkJggg==
)
)+sin(x-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANJJREFU
OE/FU9sNxDAI41bOOmzCHEyRJSivRGnKXf56SJWi1MImNh/RglMZ6FRwAjjT6yAWBLAJH1+j7mqA
EYX10AnF7zpJayTxO2oKZ2wBYhSoQV2oRUcHoZ+2TkYBg7ZVIOuiopOik4LyzESpybuAjElceE46
WN9/8bPFFrfSknH/n6gswudDptl7CtwOuP+8R8WcT4OrB1FbwmDU8I2xt6Ro6LILcmSoooU1GkEV
mV+7FaCgn9HxjD9Ep8YlwVP4zPX3RVh3LxeiWqlfgXk5vhcoRz5Wn9bxVgAAAABJRU5ErkJggg==
)
)+cosx+a(a∈R,a为常数).
(Ⅰ)求函数f(x)的最小正周期;
(Ⅱ)若函数f(x)在[-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAM1JREFU
OE/FU9ENQyEIpCu7DpswB1O4BAVEq2jr3yvJS9R3gYM7XqIBtzDQLeAG8EqPg1gQwDrcvkLV2QAj
CuuhEoq/VZJSSNrvFoM4Y2kgRoEzqAqVltFB6KeUyUpAL1tOIMuipKNEJQXFmYmCk2cB6Z048ei0
V31+4neJzW5HSfr7f6wSenVuSdzGySY8BA1vZYEr8+KdWbvNT2NaX60yzZMRJFVLK7XwO9hXzf1x
Z1Jq9/hBSgdZRwsPJT/fdaVOAsdS5JX6ZZiH7fsG0udOohBexs8AAAAASUVORK5CYII=
)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAM1JREFU
OE/FU9ENQyEIpCu7DpswB1O4BAVEq2jr3yvJS9R3gYM7XqIBtzDQLeAG8EqPg1gQwDrcvkLV2QAj
CuuhEoq/VZJSSNrvFoM4Y2kgRoEzqAqVltFB6KeUyUpAL1tOIMuipKNEJQXFmYmCk2cB6Z048ei0
V31+4neJzW5HSfr7f6wSenVuSdzGySY8BA1vZYEr8+KdWbvNT2NaX60yzZMRJFVLK7XwO9hXzf1x
Z1Jq9/hBSgdZRwsPJT/fdaVOAsdS5JX6ZZiH7fsG0udOohBexs8AAAAASUVORK5CYII=
)
]上的最大值与最小值之和为
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/Nk9sVhCAMRENH9EMXFEET9EAB1ME59pAmsgmPFRF15Wv5UuQymUlUxAuGpZQat+bvAo+LT862
z+f+HMZIlq2IHfDpW+zU3NFzIm8jYUb4mS9o/DOMWMEimPwbuE80+bdl74oLnjvpGpyNJYFnz8Mg
YLQENUCgYEoLwOwtuJuwzjeEEDLkNJB2WynnEkaKdpZ2rqCoH2BRagPS9fjk2fBHUV/6MTanCbRb
g6UUUV9SbnH/Cn8A/r2EUaEPy7EAAAAASUVORK5CYII=
)
,求实数a的值.
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