摘要:3.a·b=x1x2+y1y2, cos=(a, b0),
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若
=(x1,y1),
=(x2,y2),定义:
•
=x1x2+y1y2,已知
=(2cosx,1),
=(cosx,
sin2x),f(x)=
•
,x∈R
(1)若f(x)=1-
,且x∈[-
,
],求x;
(2)若函数y=2sin2x的图象向左(或右)平移|m|(|m|<
)个单位,再向上(或下)平移|n|个单位后得到函数y=f(x)的图象,求实数m,n的值.
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| a |
| b |
| a |
| b |
| a |
| b |
| 3 |
| a |
| b |
(1)若f(x)=1-
| 3 |
| π |
| 3 |
| π |
| 3 |
(2)若函数y=2sin2x的图象向左(或右)平移|m|(|m|<
| π |
| 2 |
若
=(x1,y1),
=(x2,y2),定义:
•
=x1x2+y1y2,已知
=(2cosx,1),
=(cosx,
sin2x),f(x)=
•
,x∈R
(1)若f(x)=1-
,且x∈[-
,
],求x;
(2)若函数y=2sin2x的图象向左(或右)平移|m|(|m|<
)个单位,再向上(或下)平移|n|个单位后得到函数y=f(x)的图象,求实数m,n的值.
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| a |
| b |
| a |
| b |
| a |
| b |
| 3 |
| a |
| b |
(1)若f(x)=1-
| 3 |
| π |
| 3 |
| π |
| 3 |
(2)若函数y=2sin2x的图象向左(或右)平移|m|(|m|<
| π |
| 2 |
设
=(x1,y1),
=(x2,y2),定义一种运算:
⊕
=(x1x2,y1y2).已知
=(
,2),
=(
,1),
=(
,-
).
(1)证明:(
⊕
)⊥
;
(2)点P(x0,y0)在函数g(x)=sinx的图象上运动,点Q(x,y)在函数y=f(x)的图象上运动,且满足
=
⊕
+
(其中O为坐标原点),求函数f(x)的单调递减区间.
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| a |
| b |
| a |
| b |
| p |
| 8 |
| π |
| m |
| 1 |
| 2 |
| n |
| π |
| 4 |
| 1 |
| 2 |
(1)证明:(
| p |
| m |
| n |
(2)点P(x0,y0)在函数g(x)=sinx的图象上运动,点Q(x,y)在函数y=f(x)的图象上运动,且满足
| OQ |
| m |
| OP |
| n |