解题方法
1 . 对于平面曲线S上任意一点P和曲线T上任意一点Q,称
的最小值为曲线S与曲线T的距离.已知曲线
和曲线
,则曲线S与曲线T的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82358b724051b032c7ec734a226ae84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb82981da0ef036b0b1dfba5257a2bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e824ce9bf199d09e923dd99371b2cb8.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2018高二下·全国·专题练习
名校
2 . 已知在
中,角
,
,
所对的边分别为
,
,
.
(1)证明:
;
(2)若
,且
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eba94e4ac26a70c1aefd4743757583b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce83158de5c550cdfa53f86dd06a7bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a3155da1d664ea682be569a463c1e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2018-05-17更新
|
1044次组卷
|
5卷引用:2018年5月13日 每周一测——《每日一题》2017-2018学年高二文科数学人教选修4-5
(已下线)2018年5月13日 每周一测——《每日一题》2017-2018学年高二文科数学人教选修4-5(已下线)2018年6月3日 每周一测——《每日一题》2017-2018学年高二理科数学人教选修4-4+选修4-5(已下线)2019年4月28日 《每日一题》文数选修4-5-每周一测四川省成都市锦江区嘉祥外国语高级中学2022-2023学年高三上学期期中数学理科试题四川省成都市锦江区锦江区嘉祥外国语高级中学2022-2023学年高三上学期期中数学试题
3 . 设向量
,
,其中
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
,由不等式
恒成立,可以证明柯西不等式
(当且仅当
,即
时等号成立).已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
,若
恒成立,利用柯西不等式可求得实数
的取值范围为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0fb4d6477160c8964034ca02de3b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557ca73405c6884f688c46ee8daad7ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160daec0ad9ccc242f3e259eb4d61ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ac29b9c6ad0825a3f0e8489c10a4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0c314051906863d6c9502fb3faf585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf91d09e73dec24c2f764d421ad64ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd68c14adb3cf12d8f77aec55a053284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03f2fbdd3eee86346e04ddee66b2f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881b614a0277c307159db0f8178fc39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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4 . 已知函数
的最小值为
(
为正数).
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb8494db478decf5603e1fdee621e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c8fb59a52d65cb9c81ddf1fe286c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13a05f5aca98574bb1f927123490de4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0c8b39cb307686fe751a0194d673dc.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e420fc4b80a7e6dda0be5c33a00b055.png)
您最近一年使用:0次