摘要:变形2:若O.P.Q三点共线.点Q在例3中的圆上且时.点P的轨迹方程(ρ=cosθ)[补充习题]
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已知O为坐标原点,向量
=(sinα,1),
=(cosα,0),
=(-sinα,2),点P满足
=
(1)记f(α)=
•
,α∈(-
,
),求函数f(α)的值域;
(2)若O,P,C三点共线,求|
+
|的值.
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OA |
OB |
OC |
AB |
BP |
(1)记f(α)=
BP |
CA |
π |
8 |
π |
2 |
(2)若O,P,C三点共线,求|
OA |
OB |
(2010•黄冈模拟)已知O为坐标原点,向量
=(sinα,1),
=(cosα,0),
=(-sinα,2),点P是直线AB上的一点,且点B分有向线段
的比为1.
(1)记函数f(α)=
•
,α∈(-
,
),讨论函数f(α)的单调性,并求其值域;
(2)若O,P,C三点共线,求|
+
|的值.
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OA |
OB |
OC |
AP |
(1)记函数f(α)=
PB |
CA |
π |
8 |
π |
2 |
(2)若O,P,C三点共线,求|
OA |
OB |
已知O为坐标原点,向量
=(sinα,1),
=(cosα,0),
=(-sinα,2),点P是直线AB上的一点,且点B分有向线段
的比为1.
(1)记函数f(α)=
•
,α∈(-
,
),讨论函数f(α)的单调性,并求其值域;
(2)若O,P,C三点共线,求|
+
|的值.
查看习题详情和答案>>
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(1)记函数f(α)=
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(2)若O,P,C三点共线,求|
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