首页
设向量=(4cosα,sinα),=(sinβ,4cosβ),=(cosβ,-4sinβ)...
试题详情
设向量
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVDhP3VO5EQMhDFRdF6icy9UJsQpxSiEE
KmUt2RiOM3OMZxx4LCARu6sHQbi0grQnlAOGrgl+WxK2/dZg5Ib12ZBqmM8jfL+Gk+I6pX8nZHk9
oiBnAUl+63rtkkGZwGoVkCE+ARM8HoRQ7uDwhACj8YfhMwWzOuRgM1+9JlOeqJ8jdjEa03nmThTp
GHxPio7wbcS9O746aUZY/qAR8IPDdwc+xLsdewqvaAAAAABJRU5ErkJggg==
)
=(4cosα,sinα),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACySURBVDhPrVO7EYUgEKQuA8oxv06Ir5CXUggB
pezjHsigHKBvZMbAYff2c2owPQFudwgNxswJ6TY4bPunwkw6WD8bXJF5rvB+hsvEtaURwVMJT37q
8qQQ2WKBR0OIYEuYz0dDiAy7Gp/MVoVsx4OORVpGVNIUgtiR0Iel/K4JZoJiR1obEvp2RMGCFU9J
QWnHE8ygANPZEXDN0qf+ZahbloaebHr5M7V7uAMWzP9f612FL960uYg38Ff7AAAAAElFTkSuQmCC
)
=(sinβ,4cosβ),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAWCAYAAAAW5GZjAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACLSURBVDhP3VIxDoAgDOy7GPocdn7C3Ie48hAG
nnIWQTQqRBMXbUJC0+vdpS2hGxHeesRdnfpgrUQPY6cGIQ2Mn4Gv9M+Y3/N8YBrb+Bc4QXhbkAvn
oZZpJAHrJldAEm7/fYuCMyND0vBKliIhONCV5kUvZUm+Q5uZM5hY1EyJJe8oVc/bFEYqX7yNGXVe
ei2Yr8I1AAAAAElFTkSuQmCC
)
=(cosβ,-4sinβ)
(1)若
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVDhP3VO5EQMhDFRdF6icy9UJsQpxSiEE
KmUt2RiOM3OMZxx4LCARu6sHQbi0grQnlAOGrgl+WxK2/dZg5Ib12ZBqmM8jfL+Gk+I6pX8nZHk9
oiBnAUl+63rtkkGZwGoVkCE+ARM8HoRQ7uDwhACj8YfhMwWzOuRgM1+9JlOeqJ8jdjEa03nmThTp
GHxPio7wbcS9O746aUZY/qAR8IPDdwc+xLsdewqvaAAAAABJRU5ErkJggg==
)
与
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAWCAYAAACyjt6wAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE5SURBVEhL7VVBDoQgDORde+A53vkJZx6yVx7i
gad0LSDIUiRUTNxkTTyoOExnplTA6bWCXjSs54smfaX3El30VcNreXeXTVlA7CW2C/r3C/QkGUf3
er6Cv5/BKeHig/Qt5mJblbMtDTgmTiJoVWwWZZlQh9+cAZlwLChsRCZuoaAzEpg4RVHO2kIxxBVM
FQ8EHRipYIJ+tQNoN7PyTLCwpe1yigJ1fjZI4D9MfpAIBntjXnBzpiVVac3C0bE8JFoFRIL74t3i
8MytOpNsxAZJbyLs+GfZDwSJKq/YshO0SoKpzhckTb2nY+UJ1hWMgVDQFebWKF6xwYbZCBI2DIJ8
E6QbKcQHicta1mZXispePwFuOm4iwWMD+jPyJOze4qLi653RmURl9/bUvG8WXx+YHuFP8KqQj1fw
Ay+PvPogVu4ZAAAAAElFTkSuQmCC
)
垂直,求tan(α+β)的值;
(2)若tanαtanβ=16,求证:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVDhP3VO5EQMhDFRdF6icy9UJsQpxSiEE
KmUt2RiOM3OMZxx4LCARu6sHQbi0grQnlAOGrgl+WxK2/dZg5Ib12ZBqmM8jfL+Gk+I6pX8nZHk9
oiBnAUl+63rtkkGZwGoVkCE+ARM8HoRQ7uDwhACj8YfhMwWzOuRgM1+9JlOeqJ8jdjEa03nmThTp
GHxPio7wbcS9O746aUZY/qAR8IPDdwc+xLsdewqvaAAAAABJRU5ErkJggg==
)
∥
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAWCAYAAAD0OH0aAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACySURBVDhPrVO7EYUgEKQuA8oxv06Ir5CXUggB
pezjHsigHKBvZMbAYff2c2owPQFudwgNxswJ6TY4bPunwkw6WD8bXJF5rvB+hsvEtaURwVMJT37q
8qQQ2WKBR0OIYEuYz0dDiAy7Gp/MVoVsx4OORVpGVNIUgtiR0Iel/K4JZoJiR1obEvp2RMGCFU9J
QWnHE8ygANPZEXDN0qf+ZahbloaebHr5M7V7uAMWzP9f612FL960uYg38Ff7AAAAAElFTkSuQmCC
)
.
相关试题
-
设向量
=(4cosα,sinα),
=(sinβ,4cosβ),
=(cosβ,-4sinβ)
(1)若
与
垂直,求tan(α+β)的值;
(2)若tanαtanβ=16,求证:
∥
.
-
设向量
=(4cosα,sinα),
=(sinβ,4cosβ),
=(cosβ,-4sinβ)
(1)若
与
垂直,求tan(α+β)的值;
(2)若tanαtanβ=16,求证:
∥
.
-
设向量
=(4cosα,sinα),
=(sinβ,4cosβ),
=(cosβ,4sinβ)
(1)若
与
-2
垂直,求tan(α+β)的值;
(2)求|
+
|的最大值.
-
设向量
=(4cosα,sinα),
=(sinβ,4cosβ),
=(cosβ,4sinβ)
(1)若
与
-2
垂直,求tan(α+β)的值;
(2)求|
+
|的最大值.
-
设向量
=(4cosα,sinα),
=(sinβ,4cosβ),
=(cosβ,4sinβ)
(1)若
与
-2
垂直,求tan(α+β)的值;
(2)求|
+
|的最大值.
-
设向量
=(4cosα,sinα),
=(sinβ,4cosβ),
=(cosβ,-4sinβ).
(1)若
与
-2
垂直,求tan(α+β)的值;
(2)求|
+
|的最大值;
(3)若
∥
,求
的值.
-
已知向量
=(3sin α,cos α),
=(2sin α,5sin α-4cos α),α∈
,且
.
(1)求tan α的值;
(2)求cos
的值.
-
已知向量
=(3sin α,cos α),
=(2sin α,5sin α-4cos α),α∈
,且
.
(1)求tan α的值;
(2)求cos
的值.
-
已知向量
=(3sin α,cos α),
=(2sin α,5sin α-4cos α),α∈
,且
.
(1)求tan α的值;
(2)求cos
的值.
-
已知向量
=(3sin α,cos α),
=(2sin α,5sin α-4cos α),α∈
,且
.
(1)求tan α的值;
(2)求cos
的值.