摘要:设函数f(x)=sin2x+2a·cosx+a3-a(0≤x≤) . (2)当a∈[-1.1]时.求函数M(a)的最值. [答案]
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已知向量
=(sinx,
),
=(cosx,-1).
(1)当
∥
时,求cos2x-sin2x的值;
(2)设函数f(x)=2(
+
)•
,已知在△ABC中,内角A,B,C的对边分别为a,b,c,若a=
,b=2,sinB=
,求f(x)+4cos(2A+
)(x∈[0,
])的取值范围.
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| a |
| 3 |
| 4 |
| b |
(1)当
| a |
| b |
(2)设函数f(x)=2(
| a |
| b |
| b |
| 3 |
| ||
| 3 |
| π |
| 6 |
| π |
| 4 |
(2013•广东模拟)已知向量
=(sinx,
),
=(cosx,-1).
(1)当
∥
时,求cos2x-sin2x的值;
(2)设函数f(x)=2(
+
)•
,已知在△ABC中,内角A、B、C的对边分别为a、b、c,若a=
,b=2,sinB=
,若f(x0)+cos(2A+
)=-
+
,x0∈[
,
],求cos2x0的取值范围.
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| a |
| 3 |
| 4 |
| b |
(1)当
| a |
| b |
(2)设函数f(x)=2(
| a |
| b |
| b |
| 3 |
| ||
| 3 |
| π |
| 6 |
| 1 |
| 2 |
3
| ||
| 5 |
| π |
| 8 |
| π |
| 2 |