1 . 记
的内角A,B,C的对边分别为a,b,c,已知
.设
的外接圆的半径为
.
(1)利用余弦定理,证明:
;
(2)证明:
;
(3)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137c7ff4dced1c3202a76ae63920d331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)利用余弦定理,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b8f4280a8dfba0d79a43c76d9b13e7.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c37773ecc41f33e33918e8380144fa3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c572083c2af625b8222e19a53a5d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
您最近一年使用:0次
2 . 已知函数
.设
为
的导函数.
(1)证明:
有且仅有一个极值点;
(2)判断
的所有零点之和与
的大小关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9419e5833819317d7a7df79988bdbddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
有两个不同的零点
.
(1)求
的最值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d7c35fa4153d11c81b501723864539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b64b1a6ad90a44dd02e91a62f2c0364.png)
您最近一年使用:0次
2018-04-03更新
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1084次组卷
|
8卷引用:河南省豫北豫南名校2018届高三上学期精英联赛数学(理)试题