1 . 已知
,
,
.
(1)若
,求x的值;
(2)求
的最值及取得最值时相应的x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74819bd70578e0bd50b033841f1aebbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a866a111b64340e9859147a5a985bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac075691407fc7a2eb3fcd3dc372d2d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7aa1233d7a93113281594c41f25c7db.png)
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名校
解题方法
2 . 已知△ABC的三个内角A,B,C的对应边分别为a,b,c,且
.则使得sin2B+sin2C=msinBsinC成立的实数m的最大值是 ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debde5cc5728cd4f27f3a94121d34e4e.png)
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2017-12-01更新
|
1215次组卷
|
3卷引用:广西桂林中山中学2017-2018学年高二上学期段考数学(理)试卷
广西桂林中山中学2017-2018学年高二上学期段考数学(理)试卷【校级联考】天津市六校联考(静海一中、杨村一中、宝坻一中等)2018届高三(上)期末模拟考试数学(理)试题(已下线)压轴小题2 正余弦定理在平面图形中的应用
解题方法
3 . 对于分别定义在
上的函数
以及实数
若存在
使得
则称函数
与
具有关系![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9902e568d7b1f5229f6ebf5c43e18ab.png)
(1)若
判断
与
是否具有关系
并说明理由;
(2)若
与
具有关系
求实数
的取值范围;
(3)已知
为定义在
上的奇函数,且满足:
①在
上,当且仅当
时,
取得最大值1;
②对任意
有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67cba3a83a7d7f44570a197db5c9111.png)
判断是否存在实数
使得
与
具有关系
若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5f7f88d327670ad628ace52f5b792f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e924e716802ea0e503812d4168de1ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb097db757dcce8d1e114eaa35cfb5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2c9050bc59bcfe21e528bf1e336996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9902e568d7b1f5229f6ebf5c43e18ab.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4efcf59a67eda20aff6a74fd1b5102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c217be22ee74ee758755bc18917e3eae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67240f24d5be6db366b4f218003d8896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17a7dd0a9319f92eec1ac43eb93106d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea020f6ee69455b961fa9fed5e82dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0446794d4e31bb0bd3907b1dd27dbd6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a78355986534b6e50bd7cabc9290a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede97915bccd6a7b22d7400c30f8adea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbce12f6911dacf78262ba950c0be55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67cba3a83a7d7f44570a197db5c9111.png)
判断是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed0e00c9b96bf8b70b3ea1de85852ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65353833b295abc6a7ddd390046f69c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b4942cf1c67cc84090c77e373809d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d869a4478e36efba14ec203efbd00342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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