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设向量=(4cosα,sinα),=(sinβ,4cosβ),=(cosβ,-4sinβ)...
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设向量
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAYAAACk9eypAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACESURBVDhP7VK7FcQwCNNk7MQ6LMMojKLAiy+O
7yicLsXhT4El8TMAcPcwDXU9sT9hp1tLl1w/M1G6K6H+ozEIQRNQLAbAqTnQBn8OrpQnuDwlILz4
tzhgGEUsITfrfOMZYdKof0ecYljTOXMHKp1g7qboCn/92OxOrknqCDvNX4p+HeEAOHAw+6F2ZqAA
AAAASUVORK5CYII=
)
=(4cosα,sinα),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAYAAACk9eypAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACNSURBVDhPvZLZDQAhCESpjJ5oh2YsxVJmZT3i
Rjz2RxNNTDjeDBAR4fQiHbLnz7mYEKRokbAk/CBFZWzie9ERyoJ1/d6lqOBd+d7WjBMgdS6siI6a
osFwTHRFyn+vYU5wcMy1acLojnVgqMOUOjjuBAFNDKABx4KbllH1q6FN2Rz6M+mTrb24rSc4FvMA
2GAvZpiwn98AAAAASUVORK5CYII=
)
=(sinβ,4cosβ),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAATCAYAAABGKffQAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAABrSURBVDhP7VJBDoAwCOvL+NO+w2f2FJ5SQTPd
dCpXE0lYIOnarQAAzCQ9EEc2fnDvVOeGUeXwvNSroRvYlOLDaQBT2esTczAK1d5HA9ZCzDQndxGS
kqGN3QgwRNlesfY3Sv7B0YUnlS8u0gLbpfvwt9FfpQAAAABJRU5ErkJggg==
)
=(cosβ,-4sinβ).
(1)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAYAAACk9eypAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACESURBVDhP7VK7FcQwCNNk7MQ6LMMojKLAiy+O
7yicLsXhT4El8TMAcPcwDXU9sT9hp1tLl1w/M1G6K6H+ozEIQRNQLAbAqTnQBn8OrpQnuDwlILz4
tzhgGEUsITfrfOMZYdKof0ecYljTOXMHKp1g7qboCn/92OxOrknqCDvNX4p+HeEAOHAw+6F2ZqAA
AAAASUVORK5CYII=
)
与
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAYAAACk9eypAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACNSURBVDhPvZLZDQAhCESpjJ5oh2YsxVJmZT3i
Rjz2RxNNTDjeDBAR4fQiHbLnz7mYEKRokbAk/CBFZWzie9ERyoJ1/d6lqOBd+d7WjBMgdS6siI6a
osFwTHRFyn+vYU5wcMy1acLojnVgqMOUOjjuBAFNDKABx4KbllH1q6FN2Rz6M+mTrb24rSc4FvMA
2GAvZpiwn98AAAAASUVORK5CYII=
)
-2
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAATCAYAAABGKffQAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAABrSURBVDhP7VJBDoAwCOvL+NO+w2f2FJ5SQTPd
dCpXE0lYIOnarQAAzCQ9EEc2fnDvVOeGUeXwvNSroRvYlOLDaQBT2esTczAK1d5HA9ZCzDQndxGS
kqGN3QgwRNlesfY3Sv7B0YUnlS8u0gLbpfvwt9FfpQAAAABJRU5ErkJggg==
)
垂直,求tan(α+β)的值;
(2)求|
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAYAAACk9eypAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACNSURBVDhPvZLZDQAhCESpjJ5oh2YsxVJmZT3i
Rjz2RxNNTDjeDBAR4fQiHbLnz7mYEKRokbAk/CBFZWzie9ERyoJ1/d6lqOBd+d7WjBMgdS6siI6a
osFwTHRFyn+vYU5wcMy1acLojnVgqMOUOjjuBAFNDKABx4KbllH1q6FN2Rz6M+mTrb24rSc4FvMA
2GAvZpiwn98AAAAASUVORK5CYII=
)
+
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAATCAYAAABGKffQAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAABrSURBVDhP7VJBDoAwCOvL+NO+w2f2FJ5SQTPd
dCpXE0lYIOnarQAAzCQ9EEc2fnDvVOeGUeXwvNSroRvYlOLDaQBT2esTczAK1d5HA9ZCzDQndxGS
kqGN3QgwRNlesfY3Sv7B0YUnlS8u0gLbpfvwt9FfpQAAAABJRU5ErkJggg==
)
|的最大值;
(3)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAYAAACk9eypAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACESURBVDhP7VK7FcQwCNNk7MQ6LMMojKLAiy+O
7yicLsXhT4El8TMAcPcwDXU9sT9hp1tLl1w/M1G6K6H+ozEIQRNQLAbAqTnQBn8OrpQnuDwlILz4
tzhgGEUsITfrfOMZYdKof0ecYljTOXMHKp1g7qboCn/92OxOrknqCDvNX4p+HeEAOHAw+6F2ZqAA
AAAASUVORK5CYII=
)
∥
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAATCAYAAACk9eypAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACNSURBVDhPvZLZDQAhCESpjJ5oh2YsxVJmZT3i
Rjz2RxNNTDjeDBAR4fQiHbLnz7mYEKRokbAk/CBFZWzie9ERyoJ1/d6lqOBd+d7WjBMgdS6siI6a
osFwTHRFyn+vYU5wcMy1acLojnVgqMOUOjjuBAFNDKABx4KbllH1q6FN2Rz6M+mTrb24rSc4FvMA
2GAvZpiwn98AAAAASUVORK5CYII=
)
,求
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAAjCAYAAAA0aUL2AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAINSURBVFhH7VgLDsMgCPVk3snreJkepUdhImhR
sZ+tLuvikmVLI+DjPVBq4A8/5g8xwQR1ldXVW7B+vWrWrl8cGGP462DhFT3/w5jCgMal8J/gWsAF
QMlV7XdxpkncGFCY2XcABbvGbPVgzcYOoG/rQfKPwKQdg1rB20Rv+C08U6aIfgtSTeiMnjvw3rMs
yFezuSwh3GB/zREoVXIIXAANoKoAHJycI6ANSKQ+ZS04chkhruNs1pmNyhN+0M65MvtJnXtMRb91
wrNhsU8DFcpC/Q3VQt8cpGkEijxqyUSGObMb20IpSRmYWU1+Uo5xwyUxRtNoAhaZKfRLxhlIyl7Y
RH6mgKr9dJvImZpSpauBapAzrChFUaQ7tYC1FSV7kim11d8GijdaNIfAgM81JXQspVDUFKrEEiit
puIzrk3+bzHAEuKUbazT/UTjaRLd1j53P9nhNr2TXLlAucvlk2ddwDtsHFwLuW3pnY2aDK2lUqml
3TnLOEkud9qyA+c9lt3vk4OxY6tJ8N0wajctnXXOqXcj9u1uu1EcgPrejUKcOx/f/XZY//rd737u
z3sMdasceg9+htDHXGjPJ3XIyglqSFoHOJ1MXU3qHOe7GXv6OK8Be/w4fwLU88b5PVBznD+4MH51
nD8hv+ZFEQ1UxRssekfxK+P8baB+aZzvgprj/KBb+hznDy5fc5ynBL0Av5lIeMbQXsQAAAAASUVO
RK5CYII=
)
的值.
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