1 . 对于项数为
的数列
,若数列
满足
,
,其中,
表示数集
中最大的数,则称数列
是
的
数列.
(1)若各项均为正整数的数列
的
数列是
,写出所有的数列
;
(2)证明:若数列
中存在
使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce3b6654490dcd8177970631e929d3d.png)
,则存在
使得
成立;
(3)数列
是
的
数列,数列
是
的
数列,定义
其中
.求证:
为单调递增数列的充要条件是
为单调递增数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb951647594b67c82045b7ba69f57cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3bd239656c2ef509ed9f2a91a68317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd88e35dc6c2b82b4bb29475d37c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cda05b106f920bbcfa02320229ca3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698f45c9ed5bb04924f1037107e76988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3bd239656c2ef509ed9f2a91a68317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb951647594b67c82045b7ba69f57cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若各项均为正整数的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb951647594b67c82045b7ba69f57cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2f32a17f0261d32079efed31d414a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb951647594b67c82045b7ba69f57cd.png)
(2)证明:若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb951647594b67c82045b7ba69f57cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce3b6654490dcd8177970631e929d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afadbd5dc4d8003ac2a0c85678dbecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4578089af6806bf1257491091b924d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2dd6a827492dffddd07e621a4bbe36.png)
(3)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3bd239656c2ef509ed9f2a91a68317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb951647594b67c82045b7ba69f57cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4af75cc7d8cc976dce8bf9bd8fdc18f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa9f328d5108bbec5c56eebfe95567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d019d9549df6aed0dab378301d889ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70322214e5c9d9a8df10eb45930f5745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb2e86a5aa896bef041701e0e1771ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8504784fec514a92d845910c6721c3a.png)
您最近一年使用:0次
2023高二上·上海·专题练习
解题方法
2 . 叙述并证明三垂线定理(要求写出已知、求证、证明过程并画图);
您最近一年使用:0次
名校
3 . (1)证明“直线与平面垂直的判定定理”:如果一条直线与一个平面内的两条相交直线垂直,则该直线与此平面垂直.
已知:如图,
,
,
,
.求证:
;
![](https://img.xkw.com/dksih/QBM/2023/11/17/3369796464435200/3370169716801536/STEM/653a2bc095e040b2a0c772ff8704c289.png?resizew=130)
(2)证明:平行四边形两条对角线的平方和等于两条邻边的平方和的两倍.
如图,四边形
是平行四边形.求证:
.
已知:如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6182bd53bccdad13334835221362a4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60750b5eab6344496e925eb603cab46a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff290c28b42c8380283f6259daaec5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac16b6d9ffc65507c5cd4083a1363937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://img.xkw.com/dksih/QBM/2023/11/17/3369796464435200/3370169716801536/STEM/653a2bc095e040b2a0c772ff8704c289.png?resizew=130)
(2)证明:平行四边形两条对角线的平方和等于两条邻边的平方和的两倍.
如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7105465941e9c130703b15790c6c1ecf.png)
![](https://img.xkw.com/dksih/QBM/2023/11/17/3369796464435200/3370169716801536/STEM/35d2213ed5264d45abd83c78d2631c9a.png?resizew=141)
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名校
解题方法
4 . (1)写出点
到直线
(
不全为零)的距离公式;
(2)当
不在直线l上,证明
到直线
距离公式.
(3)在空间解析几何中,若平面
的方程为:
(
不全为零),点
,试写出点P到面
的距离公式(不要求证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3783208484c038053c9585a1040223a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f341cb234eb3dfe599f4708d08c4545.png)
(3)在空间解析几何中,若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0cbd6b024b3fdff2f5fb5602da1a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf95be25d34a7366bf4060d081329c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2023-12-15更新
|
105次组卷
|
2卷引用:湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题
名校
5 . n个有次序的实数
,
,
,
所组成的有序数组
称为一个n维向量,其中
称为该向量的第
个分量.特别地,对一个n维向量
,若
,
,称
为n维信号向量.设
,
,
则
和
的内积定义为
,且
.
(1)直接写出4个两两垂直的4维信号向量.
(2)证明:不存在14个两两垂直的14维信号向量.
(3)已知k个两两垂直的2024维信号向量
,
,
,
满足它们的前m个分量都是相同的,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086eb439f6a1578fdba904825340772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee470d0232b6b37f2fb2ab15aae0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d5cd21ff3c760e7ec3130f5bfa8c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da796531c7b6c590a22b811df1fcef53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cf905f1d4af294ebc9c19facd64c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d5cd21ff3c760e7ec3130f5bfa8c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a414d372b680499f1c8ca1a7ae5f4d82.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd04a2f39ff6f36e9531bac16960d71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c7c807358869b70becd16ca80e1714.png)
(1)直接写出4个两两垂直的4维信号向量.
(2)证明:不存在14个两两垂直的14维信号向量.
(3)已知k个两两垂直的2024维信号向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596afe6f8149e39c53d36a759bee6151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2182d0dad848ccc76944d976befbf2.png)
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23-24高二上·上海·课后作业
6 . 请指出下列各题用数学归纳法证明过程中的错误.
(1)设
为正整数,求证:
.
证明:假设当
(
为正整数)时等式成立,即有
.
那么当
时,就有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b265260b1c40af006ba6f66a11ed576.png)
.因此,对于任何正整数
等式都成立.
(2)设
为正整数,求证:
.
证明:①当
时,左边
,右边
,等式成立.
②假设当
(
,
为正整数)时,等式成立,即有
,
那么当
时,由等比数列求和公式,就有
,等式也成立.
根据(1)和(2),由数学归纳法可以断定
对任何正整数
都成立.
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b502d9c57239d9f42fdf849878018061.png)
证明:假设当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7ca2b3e8061384501f668e59696a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8963d68c930f5b28cc8b92c43d469b.png)
那么当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b265260b1c40af006ba6f66a11ed576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced66f7e147b6276e1ce9e2b67510141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8883d7d43d3f61a771d16537c52ac451.png)
证明:①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90bae886c8ab958aa4c693bf8e0627d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90bae886c8ab958aa4c693bf8e0627d.png)
②假设当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7ca2b3e8061384501f668e59696a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2397df3279607612ea3cbef101ee0bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a439aebc27b99718f09e1dff2649482f.png)
那么当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b838d781d5ce98ddcc08af86c1f27ae.png)
根据(1)和(2),由数学归纳法可以断定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8883d7d43d3f61a771d16537c52ac451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
7 . 在平面直角坐标系
中,P,Q是抛物线
上两点(异于点O),过点P且与C相切的直线l交x轴于点M,且直线
与l的斜率乘积为
.
(1)求证:直线
过定点,并求此定点D的坐标;
(2)过M作l的垂线交椭圆
于A,B两点,过D作l的平行线交直线
于H,记
的面积为S,
的面积为T.
①当
取最大值时,求点P的纵坐标;
②证明:存在定点G,使
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb9603390e28948abd2e3cd96e1720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
(2)过M作l的垂线交椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895f5fcb1cebfc09dc14ab6efad03437.png)
②证明:存在定点G,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac90c4158636c076ef1d0d45df68be88.png)
您最近一年使用:0次
2023-05-08更新
|
942次组卷
|
5卷引用:高二上学期期中复习【第三章 圆锥曲线的方程】十二大题型归纳(拔尖篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)
(已下线)高二上学期期中复习【第三章 圆锥曲线的方程】十二大题型归纳(拔尖篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)通关练17 抛物线8考点精练(3)山东省烟台市2023届高考适应性练习(一)数学试题山东省枣庄市2023届高三三模数学试题湖南省株洲市第二中学2022届高三下学期第三次月考数学试题
名校
解题方法
8 . 在平面直角坐标系
中,椭圆
与双曲线
有公共顶点
,且
的短轴长为2,
的一条渐近线为
.
(1)求
,
的方程:
(2)设
是椭圆
上任意一点,判断直线
与椭圆
的公共点个数并证明;
(3)过双曲线
上任意一点
作椭圆
的两条切线,切点为
、
,求证:直线
与双曲线
的两条渐近线围成的三角形面积为定值,并求出该定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/fab8a0cc6504aa4c3a38006f5394b4c2.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/e3f52cb58b6bc5d71030463ba7e28134.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7b5a74a10686910113e756e5add888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(3)过双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53147c1ea72065497f424f84d92da2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcb20a6972108871adbf284f9e5006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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2022-11-04更新
|
581次组卷
|
3卷引用:江苏省常州市溧阳市2022-2023学年高二上学期期中数学试题
9 . 已知
,
(1)求函数
的导数,并证明:函数
在
上是严格减函数(常数
为自然对数的底);
(2)根据(1),判断并证明
与
的大小关系,并请推广至一般的结论(无须证明);
(3)已知
、
是正整数,
,
,求证:
是满足条件的唯一一组值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f53f81bca037a4383c1fab122a3cd3d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b4888d8cf85f200763db925ce501b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(2)根据(1),判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520e118f7e2aab0cea0fc23c833ccbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15d2a3cd491be27bc3d8799b3f9f610.png)
(3)已知
![](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/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdc0e0ca559f0f1af6127545f356fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e1c681b27df538bd4742f6cd8298ae.png)
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2022-12-15更新
|
809次组卷
|
6卷引用:核心考点09导数的应用(1)
(已下线)核心考点09导数的应用(1)(已下线)上海市高二下学期期末真题必刷01(易错题)--高二期末考点大串讲(沪教版2020选修)(已下线)上海市高二下学期期末真题必刷04(压轴题)--高二期末考点大串讲(沪教版2020选修)上海市嘉定区2023届高三上学期一模数学试题重庆市2023届高三下学期2月月度质量检测数学试题上海市静安区市北中学2024届高三上学期12月月考数学试题
解题方法
10 . 已知抛物线
,
,
是C上两个不同的点.
(1)求证:直线
与C相切;
(2)若O为坐标原点,
,C在A,B处的切线交于点P,证明:点P在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2c731aaa4005382d5b4324e29fbb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fb1a589404b101361fab4a264af920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4adb1a0c5fbcaa7cb61b2febdb7db3.png)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d031516b8b9572a1973e44004a30493a.png)
(2)若O为坐标原点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb512456bcc994ea2354e9525d3f282.png)
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