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已知=(1,1),向量与的夹角为,且•=-1.(1)求向量;(2)若与=(1,0)的夹角为...
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已知
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAWCAYAAADwza0nAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADBSURBVDhP5VO7DYQwDPVcFB6H3puk9iC0GSRF
RnlnOwTBEaTorjpdJCQg7+dHIEytgrQmlBOWpngOKgnLuh1wsoX5a0HabT93nIv6zYxvDvNR/5JY
FRyHQJBRodzvrY0scTgk3z9aa9XJtpuFoTVDXMRJ8Y7AWm/MIFZlIwrUlZ3AAomHluDR0VWJ1WBN
hMid9yQxwjDqHq1lvjiEyMjOkBTR+mYU1R26iM05KsdjHqJnEQsoR9tPrc79IhfUDx3yFy3PTzIA
9ld/AAAAAElFTkSuQmCC
)
=(1,1),向量
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAWCAYAAADwza0nAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADBSURBVDhP5VO7DYQwDPVcFB6H3puk9iC0GSRF
RnlnOwTBEaTorjpdJCQg7+dHIEytgrQmlBOWpngOKgnLuh1wsoX5a0HabT93nIv6zYxvDvNR/5JY
FRyHQJBRodzvrY0scTgk3z9aa9XJtpuFoTVDXMRJ8Y7AWm/MIFZlIwrUlZ3AAomHluDR0VWJ1WBN
hMid9yQxwjDqHq1lvjiEyMjOkBTR+mYU1R26iM05KsdjHqJnEQsoR9tPrc79IhfUDx3yFy3PTzIA
9ld/AAAAAElFTkSuQmCC
)
与
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACoSURBVDhP3VNLDoQgDOVcLnoc99yEdQ8yWw7C
gqO8aSmOOopoohubmEB8vxZwOKyEMAakBcYdE+RvChjGzw/mpND/BoRqc93h/h7+FPuR3kmI8PXw
fNQOM5jsMG2/rjolJXnEAiZwFhoTSBe7hMwgYrA38OTSdFC1VYQqsNUHJJJlXqq14qi3k7Alzqw2
9RHBez1s1FSgTE2H0JxS9xnND+g81JDP39Yv7Ta9tSV5UkUAAAAASUVORK5CYII=
)
的夹角为
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAjCAYAAACdHYpiAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD9SURBVEhLzVSBDYQgDGQyduo6XaajMEq/FOGh
vCBo8pqYqCl31/Naxzcvd/M8PwQQkL1z7OINtCRKFBCDRw56TJ4FZAXDcQjH4URMsApQCyYwLSRF
2pq5PSbNxcTIbD0gAGmKOSCw1kevSruJuf0Lh5kZPYsj8AkgKhwCKIk3RYHRJyUKYBzuc2CLVFVu
RcDHAJGt/gvpPcuu1RHi4UFkrBxuCKwnVeBy3UNRXgpvW/wCBb9ievVbn8QNL17gwVi1TWZfPWxB
ozvZUOcAEltAMrNxWYFIh7gnN1soC2QLQKbzO5EbCspuPFmi1oVJkDYUtAz/B5hP1+uHad7CB8ru
5JS6zIZaAAAAAElFTkSuQmCC
)
,且
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAWCAYAAADwza0nAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADBSURBVDhP5VO7DYQwDPVcFB6H3puk9iC0GSRF
RnlnOwTBEaTorjpdJCQg7+dHIEytgrQmlBOWpngOKgnLuh1wsoX5a0HabT93nIv6zYxvDvNR/5JY
FRyHQJBRodzvrY0scTgk3z9aa9XJtpuFoTVDXMRJ8Y7AWm/MIFZlIwrUlZ3AAomHluDR0VWJ1WBN
hMid9yQxwjDqHq1lvjiEyMjOkBTR+mYU1R26iM05KsdjHqJnEQsoR9tPrc79IhfUDx3yFy3PTzIA
9ld/AAAAAElFTkSuQmCC
)
•
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACoSURBVDhP3VNLDoQgDOVcLnoc99yEdQ8yWw7C
gqO8aSmOOopoohubmEB8vxZwOKyEMAakBcYdE+RvChjGzw/mpND/BoRqc93h/h7+FPuR3kmI8PXw
fNQOM5jsMG2/rjolJXnEAiZwFhoTSBe7hMwgYrA38OTSdFC1VYQqsNUHJJJlXqq14qi3k7Alzqw2
9RHBez1s1FSgTE2H0JxS9xnND+g81JDP39Yv7Ta9tSV5UkUAAAAASUVORK5CYII=
)
=-1.
(1)求向量
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACoSURBVDhP3VNLDoQgDOVcLnoc99yEdQ8yWw7C
gqO8aSmOOopoohubmEB8vxZwOKyEMAakBcYdE+RvChjGzw/mpND/BoRqc93h/h7+FPuR3kmI8PXw
fNQOM5jsMG2/rjolJXnEAiZwFhoTSBe7hMwgYrA38OTSdFC1VYQqsNUHJJJlXqq14qi3k7Alzqw2
9RHBez1s1FSgTE2H0JxS9xnND+g81JDP39Yv7Ta9tSV5UkUAAAAASUVORK5CYII=
)
;
(2)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACoSURBVDhP3VNLDoQgDOVcLnoc99yEdQ8yWw7C
gqO8aSmOOopoohubmEB8vxZwOKyEMAakBcYdE+RvChjGzw/mpND/BoRqc93h/h7+FPuR3kmI8PXw
fNQOM5jsMG2/rjolJXnEAiZwFhoTSBe7hMwgYrA38OTSdFC1VYQqsNUHJJJlXqq14qi3k7Alzqw2
9RHBez1s1FSgTE2H0JxS9xnND+g81JDP39Yv7Ta9tSV5UkUAAAAASUVORK5CYII=
)
与
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC1SURBVDhP3VM5DsQgDPS7Uvg56fkJNQ/ZlodQ
8JRZm2PjTVhQpK1iKUKCmfGMCYRpJfjdIxkMzQlymjy2/fWBkRTW3wbf2tzv8P8MJ8W1pWcTMgLX
S+SQEV1dz9WmFOEaUAE5sBAZAzyE0JRdPMSiA3GQk2uR9BY1hwNeBUZ2lE6lvVGf2SkEDdcJCmb+
FriGzgHcfvE+HRvnx5T6tk7L5hmFtns6gJm8Zih4Y0sv7oal5QvHG4XNq28tOGyDAAAAAElFTkSu
QmCC
)
=(1,0)的夹角为
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADHSURBVDhPzVPRDcUgCGQyd2IdlmEURuEpoEHL
a/rzXmrSRO0F7rgT9MGCBxh9KYgVARSKr5GYLmBE5b4RQrU7IW2N1H/7WuoYm4MYFWqQKDWvaCC0
3VFptIDZtlWgUaUTjxZCHRR7JgpOVgV0KjHioXR2faUtlR35bpv4Xfh+oW54NuNSGjymvEyNfCWT
jZMwb/nJ/n1Xd8SlVMcImiN1BW38jvj6MSW0yrgnN3J+jH+1G4q2aHfyW+gG0avR8TDyk/q3wTf9
Pmk3Xj4tXoBsAAAAAElFTkSuQmCC
)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACtSURBVDhP3VO7DcQgDPVcKTxOejah9iDXZhAK
RnlnMNwhwkeRrjpLkYjs97ExhGUE+NMjNDW0Bmg2eBzn61NGGth/B3yRea7w+x46xr2lfwVE4Xx5
LBH1TMTQ31uUKUUIM5gNlOJyugHumgCigDvGJSDZqMxGmRQJAwGoJbPT+s19sGhm1EOy0yStaYe7
ewPTdyplzSfMVYt6O7sHRa2dXXG2lF/baBwT9OP1fgN4eLAxqG0qpwAAAABJRU5ErkJggg==
)
=(cosA,2cos
2![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAjCAYAAACkejs5AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAD6SURBVEhLvVSBDcQgCGQyd3IdlmEUR+GlmlYQ
WmuaNzFtbM874AB4c8Emjj8EUmYAOHemqqmeHc9hDYyFMQkg8/gPZTlLjMUFdlBCNt+FjrO5TK44
GAsm99bGUS9Fo7MBO5sN4iHdFShSgJMN4hFYkNMWsDNCIJXQS1hPjtRJaqflttij0K86dslX8efa
BQZ459oPvbpIvM84dsLq++nVRXVRW72D78c48YwTwO3PhtCM4p7TY61rIg8rYCFSE+Bo8ID1PkaR
Hbj8FiiD6rk7bJZUvHOpAkbpRT0mLdQFUr7vRddykkkVlzPFJ2Cb2nb7kj+03KLX/8/4A02Q++WQ
yx3bAAAAAElFTkSuQmCC
)
)其中A、C为△ABC的内角,且A+C=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAjCAYAAACdHYpiAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEUSURBVEhL3VXbDcQgDMtk7JR1WCajZJQcIYXy
aiPUflRX6XQqAsc2iQvy8IGH5+UlAEIBAPuFKLxBC4SjBKTjCAkqSH33kYCJuoocwxaL2QOVMzIq
8pr/EE3oBEAIUs4Toqg4jih5v8odPOoBOj9O/YTBAJTdNQBLDFaxf5r1Tp7tqgxqlel8og1FSjJ4
uKEMoM5366mSvWv1szfaG6IYjYGaVpuounxIUU/SWnE8m3jsKQVfamW/4S53fIDBbODK1PXaspV3
7fiAB0vKTcN44bKQkFKpTpwl1F1AzQDMXUK1+bBie2/iYnxHkEuAOmROwN4zGKdxocHtAy+lXYCc
gzcyHABLpL1rbD9zTg/89TBthMIPTSPnbZ1oYF8AAAAASUVORK5CYII=
)
,求|
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACoSURBVDhP3VNLDoQgDOVcLnoc99yEdQ8yWw7C
gqO8aSmOOopoohubmEB8vxZwOKyEMAakBcYdE+RvChjGzw/mpND/BoRqc93h/h7+FPuR3kmI8PXw
fNQOM5jsMG2/rjolJXnEAiZwFhoTSBe7hMwgYrA38OTSdFC1VYQqsNUHJJJlXqq14qi3k7Alzqw2
9RHBez1s1FSgTE2H0JxS9xnND+g81JDP39Yv7Ta9tSV5UkUAAAAASUVORK5CYII=
)
+
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACtSURBVDhP3VO7DcQgDPVcKTxOejah9iDXZhAK
RnlnMNwhwkeRrjpLkYjs97ExhGUE+NMjNDW0Bmg2eBzn61NGGth/B3yRea7w+x46xr2lfwVE4Xx5
LBH1TMTQ31uUKUUIM5gNlOJyugHumgCigDvGJSDZqMxGmRQJAwGoJbPT+s19sGhm1EOy0yStaYe7
ewPTdyplzSfMVYt6O7sHRa2dXXG2lF/baBwT9OP1fgN4eLAxqG0qpwAAAABJRU5ErkJggg==
)
|的最小值.
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,|
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•
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