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(文科做)已知向量=(cosx,sinx),=(cos,-sin),且,求:①及||;②若...
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(文科做)已知向量
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVDhP3VO5EQMhDFRdF6icy9UJsQpxSiEE
KmUt2RiOM3OMZxx4LCARu6sHQbi0grQnlAOGrgl+WxK2/dZg5Ib12ZBqmM8jfL+Gk+I6pX8nZHk9
oiBnAUl+63rtkkGZwGoVkCE+ARM8HoRQ7uDwhACj8YfhMwWzOuRgM1+9JlOeqJ8jdjEa03nmThTp
GHxPio7wbcS9O746aUZY/qAR8IPDdwc+xLsdewqvaAAAAABJRU5ErkJggg==
)
=(cos
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC7SURBVDhPvZPZEYAwCESpjJ5oJ81QCqUgmBgh
ifqhY2Ycj3Cs7Avow4KPAqQoAij4RZyKWgtWwqKyf7ZnC4oxoCJtsyYyjQGxINOqxZl5oSGUaGKx
VEW+pjlIQYUuehFgKpOOoYJowfEvPOMY0jCDpYbRm6/MuvHc9DUXF/dfRcZhBR+qBnewI1SJitiB
MCei3rr5xGTSMxHlLJCBn1d3kwk1oJiZdOXpQNlcjnfwgzIbdrb6A5gbmPatDZps4PCLzCp3AAAA
AElFTkSuQmCC
)
x,sin
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC7SURBVDhPvZPZEYAwCESpjJ5oJ81QCqUgmBgh
ifqhY2Ycj3Cs7Avow4KPAqQoAij4RZyKWgtWwqKyf7ZnC4oxoCJtsyYyjQGxINOqxZl5oSGUaGKx
VEW+pjlIQYUuehFgKpOOoYJowfEvPOMY0jCDpYbRm6/MuvHc9DUXF/dfRcZhBR+qBnewI1SJitiB
MCei3rr5xGTSMxHlLJCBn1d3kwk1oJiZdOXpQNlcjnfwgzIbdrb6A5gbmPatDZps4PCLzCp3AAAA
AElFTkSuQmCC
)
x),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACySURBVDhPrVO7EYUgEKQuA8oxv06Ir5CXUggB
pezjHsigHKBvZMbAYff2c2owPQFudwgNxswJ6TY4bPunwkw6WD8bXJF5rvB+hsvEtaURwVMJT37q
8qQQ2WKBR0OIYEuYz0dDiAy7Gp/MVoVsx4OORVpGVNIUgtiR0Iel/K4JZoJiR1obEvp2RMGCFU9J
QWnHE8ygANPZEXDN0qf+ZahbloaebHr5M7V7uAMWzP9f612FL960uYg38Ff7AAAAAElFTkSuQmCC
)
=(cos
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAjCAYAAABCU/B9AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADOSURBVDhP1VPbEcQgCKQyeqIdm6EUS+HARAw+
7syf50zGZLKuC7uAvFjwAiv/CWYSABDAJLlUy0Lhu7XgLjBLQpSUDUgKny/vRk6oN6yBdry1LidB
l/KDmZUZwaSsbSrMJoFUKBOUXV+uvVvaCBCsdLUzM2TQvBGSU7JRrN54oikHFVhN+R7R4rmgO3dn
unOyRZT5Dv9VaYlsl8K1gyZpxdx3zhP4+DFnDvqHGXzy2jzOx2tgZlpPSwDXifF7uolxsBU0BirK
OSX8GzF2yAcuboE6WCxDGgAAAABJRU5ErkJggg==
)
,-sin
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAjCAYAAABCU/B9AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADOSURBVDhP1VPbEcQgCKQyeqIdm6EUS+HARAw+
7syf50zGZLKuC7uAvFjwAiv/CWYSABDAJLlUy0Lhu7XgLjBLQpSUDUgKny/vRk6oN6yBdry1LidB
l/KDmZUZwaSsbSrMJoFUKBOUXV+uvVvaCBCsdLUzM2TQvBGSU7JRrN54oikHFVhN+R7R4rmgO3dn
unOyRZT5Dv9VaYlsl8K1gyZpxdx3zhP4+DFnDvqHGXzy2jzOx2tgZlpPSwDXifF7uolxsBU0BirK
OSX8GzF2yAcuboE6WCxDGgAAAABJRU5ErkJggg==
)
),且
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAjCAYAAAAkCQwqAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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=
)
,求:
①
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAAWCAYAAADXYyzPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAETSURBVEhL7VVBEoMgDORdPfAc7/yEMw/plYd4
4ClbIkKLQMJYZ9rOlNGDmuxmNwEV2LXCLhYrHyR87WMoEXO1uC13MYyvv8VQcUG+b7CMbDmfOGqM
zyn+3h6/191htmz1LxB7sw+q8WK5lysOTmOCFyeIA5weKaNvBrJenCD2ptr3lbrgoGfkxkZUikuP
VKyaCHogDHGy2cPkQ0k7hEG3d+Jkn3Y5LCWPiu8PUW5Btjo9jzA2YgJ6ktIbStIodYgzSimtzYQ7
JqaEoyW9dwJ5O8188YoSWrVHByTJnWkezcgOpWqb82CQzQHxmltHm7cB5LeV2npTfo0U/Eo+x5vn
pPweJ7bUiQNkvhgu8k98jY8TKA8X4F/16RORzAAAAABJRU5ErkJggg==
)
及|
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACEAAAAWCAYAAABOm/V6AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEuSURBVEhL7ZVBEoMgDEVzLhccxz03cc1BuvUg
LjjKL1GhisSAjjPtTJl20Tb5ef4klHB6Jgz9gOk8qOHXsh6pCtOArn+pYdUBBT0KB/q7w1Bph67F
9fZ63+HEb8xEdbOvB+rtuK5dnXkPYrSwY7nWaNeBlwI2aY9BcA3vjAi5RX8QwsMZC8GonX3NEMnm
4v2yKeodTEUrmGYH8SkQxEK/SRM5mYmlFSNshDUOXhjVFYKtIxgXw5ZkjQEixKJHFJ1ZPkt6MwQ7
8AGYRyokGSQmadkkiEIruIYMwQm5VaXvSiACxHErzh+KOOHoQu5M9b2zuphthTJftG9FHCRuhUd4
tZ+8FQyQZqMsR+FGgUnrxk+wBWlniDOW/tLV6c5W9FrJ+1nNl9X9kkeFP0T05A2gNGf9DlPqfAAA
AABJRU5ErkJggg==
)
|;
②若f(x)=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAAWCAYAAADXYyzPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAETSURBVEhL7VVBEoMgDORdPfAc7/yEMw/plYd4
4ClbIkKLQMJYZ9rOlNGDmuxmNwEV2LXCLhYrHyR87WMoEXO1uC13MYyvv8VQcUG+b7CMbDmfOGqM
zyn+3h6/191htmz1LxB7sw+q8WK5lysOTmOCFyeIA5weKaNvBrJenCD2ptr3lbrgoGfkxkZUikuP
VKyaCHogDHGy2cPkQ0k7hEG3d+Jkn3Y5LCWPiu8PUW5Btjo9jzA2YgJ6ktIbStIodYgzSimtzYQ7
JqaEoyW9dwJ5O8188YoSWrVHByTJnWkezcgOpWqb82CQzQHxmltHm7cB5LeV2npTfo0U/Eo+x5vn
pPweJ7bUiQNkvhgu8k98jY8TKA8X4F/16RORzAAAAABJRU5ErkJggg==
)
-2λ|
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACEAAAAWCAYAAABOm/V6AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAEuSURBVEhL7ZVBEoMgDEVzLhccxz03cc1BuvUg
LjjKL1GhisSAjjPtTJl20Tb5ef4klHB6Jgz9gOk8qOHXsh6pCtOArn+pYdUBBT0KB/q7w1Bph67F
9fZ63+HEb8xEdbOvB+rtuK5dnXkPYrSwY7nWaNeBlwI2aY9BcA3vjAi5RX8QwsMZC8GonX3NEMnm
4v2yKeodTEUrmGYH8SkQxEK/SRM5mYmlFSNshDUOXhjVFYKtIxgXw5ZkjQEixKJHFJ1ZPkt6MwQ7
8AGYRyokGSQmadkkiEIruIYMwQm5VaXvSiACxHErzh+KOOHoQu5M9b2zuphthTJftG9FHCRuhUd4
tZ+8FQyQZqMsR+FGgUnrxk+wBWlniDOW/tLV6c5W9FrJ+1nNl9X9kkeFP0T05A2gNGf9DlPqfAAA
AABJRU5ErkJggg==
)
|的最小值是
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAjCAYAAACdHYpiAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADfSURBVEhL3VSBDcMgDOOy/MQ7PJNTckpGRmkT
1ikEpE0qUqVWKsYxthNvrrS5n38EQIUhJU7yZDSkJxggZyhM7231vYJoDB+A6NjcDsYcBdCEMa+M
cJ28qIGicIgJpSkiy9dgMAoV4HSKugBQVTQ6BBkQF4jegpzYTTR4YEmDMTvBET6jtw8g1tQzmvch
OHfRdxl8Ba+CPkXEqU7UZlI5mNNAEnjeRmskXWvuLRCiaaR/p3G3E40e4UaSLsi12O1yRey/YwZW
VRjrRFHe5Kr6on+7DO7Teo3iAnhOfQDAC7n7J1PFWzBWAAAAAElFTkSuQmCC
)
,求实数λ的值.
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