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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
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADPSURBVDhPzVPRDQUhCGMyd2IdlmEUR+EpVA89
83I/l5yJidGGFlvIHix6gLGPgtSYyOiwi1Tvi5TZtB2qsPldFStFLJ5jze6US4CUjc6galKiooPY
T1ulTkGDtpxAvUoTDooqDYSzikCTVyEbnbhwdDpYP2nLyY58t/z4v/C92d38TBieU9A1uSV0Pd6i
4u7D5L0JCA+TuQVwtJ/TEiBUYY0c7bQOyvEIqsj9koI7KOjnIGS6K7TQiItF+Mz2NgzJljx/GAr8
xZveHTLziO4HqAJK+wqxLQsAAAAASUVORK5CYII=
)
)+sin(x-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADPSURBVDhPzVPRDQUhCGMyd2IdlmEUR+EpVA89
83I/l5yJidGGFlvIHix6gLGPgtSYyOiwi1Tvi5TZtB2qsPldFStFLJ5jze6US4CUjc6galKiooPY
T1ulTkGDtpxAvUoTDooqDYSzikCTVyEbnbhwdDpYP2nLyY58t/z4v/C92d38TBieU9A1uSV0Pd6i
4u7D5L0JCA+TuQVwtJ/TEiBUYY0c7bQOyvEIqsj9koI7KOjnIGS6K7TQiItF+Mz2NgzJljx/GAr8
xZveHTLziO4HqAJK+wqxLQsAAAAASUVORK5CYII=
)
)+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
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADHSURBVDhPzVPRDcUgCGQyd2IdlmEURuEpoEHL
a/rzXmrSRO0F7rgT9MGCBxh9KYgVARSKr5GYLmBE5b4RQrU7IW2N1H/7WuoYm4MYFWqQKDWvaCC0
3VFptIDZtlWgUaUTjxZCHRR7JgpOVgV0KjHioXR2faUtlR35bpv4Xfh+oW54NuNSGjymvEyNfCWT
jZMwb/nJ/n1Xd8SlVMcImiN1BW38jvj6MSW0yrgnN3J+jH+1G4q2aHfyW+gG0avR8TDyk/q3wTf9
Pmk3Xj4tXoBsAAAAAElFTkSuQmCC
)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADHSURBVDhPzVPRDcUgCGQyd2IdlmEURuEpoEHL
a/rzXmrSRO0F7rgT9MGCBxh9KYgVARSKr5GYLmBE5b4RQrU7IW2N1H/7WuoYm4MYFWqQKDWvaCC0
3VFptIDZtlWgUaUTjxZCHRR7JgpOVgV0KjHioXR2faUtlR35bpv4Xfh+oW54NuNSGjymvEyNfCWT
jZMwb/nJ/n1Xd8SlVMcImiN1BW38jvj6MSW0yrgnN3J+jH+1G4q2aHfyW+gG0avR8TDyk/q3wTf9
Pmk3Xj4tXoBsAAAAAElFTkSuQmCC
)
]上的最大值与最小值之和为
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC0SURBVDhPzZNNDsAQEIXnXBaOY+8m1g5i6yBd
zFFe/bY0pGpViUTEN+/NA2EwiAhLcwaP9p979HOYLWTNQfvL7IJtDy0tOCFhHYpU/h1mLmAW9PoL
3CbqNeib7Vsx3f0OnEqU4KTNCbz3/HgIbCWoBEhwqjxFdV9BsDcdTd/knEvnjCAIc2Q7U5hh5Sjt
5CCrd3BUaj5Kk1ffswqHovpcuW+ma+4wAiTMHhzrRvUt5WpqFT4BvDKYovKwNAUAAAAASUVORK5C
YII=
)
,求实数a的值.
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