1 . 在锐角
中,角
所对的边分别为
,且
.
(1)求证:
;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73871b5eba746c60026c5cce7482d66f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8636e448103248ddd367d084be0ef715.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c03b5fd68e38254b1e0a9bcd5401c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
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解题方法
2 . 对于任意的
恒成立,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f9a6fc8483bd2b69bf29cb2893a562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知函数
的图象关于直线
对称,
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857275c21842f487ae5714a15f516cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8844df2680f4ffa17c8d6f3387f3a6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567ead618b99282d247f6f369940e431.png)
A.240 | B.260 | C.![]() | D.320 |
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4 . 在
中,角A,B,C所对的边分别是a,b,c,且
,
,
成等差数列,若
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57003e380cf41982c78289db1c4d68fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1110559eaac39a016c95880c08de39f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7933389f3ab945c1f8a7f0ab16f9c3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c36a1287b4547910d595a9532412946.png)
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5 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea917d35c98cc8e9f06c4dd5ad9574f.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd63c60acd4677ac225d84f35b988ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa21cccadf7a6874e67ea2a08f11d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea917d35c98cc8e9f06c4dd5ad9574f.png)
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6 . 若
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f75810ff95344f9de4a3bca9d9a6fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab46e06bfa4bd3adabcd0f73fb1e268.png)
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解题方法
7 . 函数
的最大值是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7687606dee71dd8709c6f5c7deb8f1.png)
A.![]() | B.![]() | C.7 | D.6 |
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8 . 已知函数
,若存在
,使
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af64b0e9db9f34c34220a8d5f764ae67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55ccc6a08f25adf8445566456e09208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c446363033f04ca59b889358b9b2453.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a332d154e34e9286e0bed1026ecea5be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c446363033f04ca59b889358b9b2453.png)
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10 . 函数
的图象与过原点的直线恰有四个交点,设四个交点中横坐标最大值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1c84ed8b1ed0f99f2a8cb5642c6923.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d1276f2c6beaf8586f8ae40f8e8911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1c84ed8b1ed0f99f2a8cb5642c6923.png)
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