解题方法
1 . 若平面有不共线的五点A,B,C,D,O,记
,
,
,
,满足
.
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14390e9b6b44472bdc7a131133ab39b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cd14dfc0024459f9d8e594c95c5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07dcf0b16163e0e0e0c0f248466ee7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148bb713c21aa6a7b124090d763e3cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e615309190595163291f1ef907deead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b053159ca8d5e41edc3bb5ab25c6dc5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b012f67a250177419b93548952986c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fc3f6eb84df9cda382c357a1606184.png)
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解题方法
2 . 已知双曲线
的一个焦点为
为坐标原点,点
在双曲线上运动,以
为直径的圆过点
,且
恒成立,则
的离心率的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844a1c77cdc51fb57f2fc55d791ea64f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09224287f31db61f4335560cdaf28ae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed568f7b6490ebbb104d105dbc07f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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名校
解题方法
3 . 已知正
的边长为
,内切圆圆心为
,点
满足
.
(1)求证:
为定值;
(2)把三个实数
,
,
的最小值记为
,若
,求
的取值范围;
(3)若
,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640138cbc38cacf41630dbea47554b53.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c6b94e3aec412c946821e781228d8e.png)
(2)把三个实数
![](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/5e1e49f1fd344854ed10dd161dd1249b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c86a7df7acef704ff0be2ca9e09367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7efd3538b7ceb2c126f7f1fe2e8f8ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de91da286fa85fbfa6e0f93905308a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7bf9200b351a259ddfc6c0266129d.png)
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解题方法
4 . 等腰直角三角形
(
)的直角边长
,
、
是三角形内的两点,且满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974331902e2c22022993b2b25060f076.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635c0e8cd497fd3d766fede583f2e320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55475c840ad37fa1fd0d707cc7c600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7ffc6824792fddc8525fa6ecb3f2aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974331902e2c22022993b2b25060f076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
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解题方法
5 . 已知平面向量
,
,
,
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/552355ddba8eef1ca3bf15eb53d79622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd98836819f79b76830bf1491df66ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01405df737543c3dc9aa12af68ef66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48f8ed9c671272a6ccf2a798f03d99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290a7d4f885a20899a76526b46dd439b.png)
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名校
解题方法
6 . 已知平面向量
,
,
满足:
,
,则
的最小值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b73813fe93857398d8712ae1323479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3963cf24a20a4ea43c917331daa5e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf13bef5ff66c0f6b55b17bc35b8beaf.png)
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7 . 在等腰直角三角形
中,
,点
在三角形内,满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a84b7de4bcbaa36f542b7ac3886bba.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350d9f16e66c2bf7e8e3c7dd6418e639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/003d09def07b84a3b85d9a92a9d1c9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a84b7de4bcbaa36f542b7ac3886bba.png)
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2021-11-05更新
|
1421次组卷
|
3卷引用:浙江省2022届高考模拟卷数学试题(三)
浙江省2022届高考模拟卷数学试题(三)(已下线)专题06 平面向量的模与夹角(练)--第一篇 热点、难点突破篇-《2022年高考数学二轮复习讲练测(浙江专用)》天津市西青区2021-2022学年高三上学期期末数学试题
解题方法
8 . 已知
外接圆的圆心为O,半径为1.设点O到边
,
,
的距离分别为
,
,
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d0252c1b2f7d2a84b5c985d19d547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34952ec248799040f410b065d7f73ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1849c86fa2ca57febd13eae005d4098.png)
A.![]() | B.1 | C.![]() | D.3 |
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2021-08-02更新
|
2722次组卷
|
4卷引用:江苏省泰州市2020-2021学年高一下学期期末数学试题
江苏省泰州市2020-2021学年高一下学期期末数学试题(已下线)第6章 平面向量及其应用(压轴30题专练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)浙江省杭州市S9联盟2022-2023学年高二上学期11月期中联考数学试题(已下线)第六章 平面向量及其应用(基础、典型、易错、压轴)分类专项训练(3)
解题方法
9 . 已知椭圆
:
的离心率为
,椭圆
的上顶点与抛物线
:
的焦点
重合,且抛物线
经过点
,
为坐标原点.
(1)求椭圆
和抛物线
的标准方程;
(2)已知直线
:
与抛物线
交于
,
两点,与椭圆
交于
,
两点,若直线
平分
,四边形
能否为平行四边形?若能,求实数
的值;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033274547930b2e2dcd4ea4919a36738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-03-18更新
|
2840次组卷
|
5卷引用:山东省济宁市2021届高三一模数学试题
山东省济宁市2021届高三一模数学试题(已下线)精做05 解析几何-备战2021年高考数学(文)大题精做(已下线)专题1.10 圆锥曲线-抛物线-2021年高考数学解答题挑战满分专项训练(新高考地区专用)江苏省南京市玄武区2022届高三下学期适应性考试(三)数学试题云南省玉溪市新平县第一中学2021-2022学年高二上学期期末素质测试数学试题
解题方法
10 . 平面向量
,
,
满足
,
(
且
),则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f64154bf2733bfc572d668f869220b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ef0924e737052be75edad9bedaac3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bdfb8b0aba93b2eef5f11f4b7ae4592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd24c686fbaaa68705d654b880481ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f352f97803f55b21c0dd569caa4956f9.png)
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