解题方法
1 . 已知抛物线
的焦点为F,过F的直线l与C交于A,B两点,点P在C的准线上,那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
A.若PA与C相切,则PB也与C相切 |
B.![]() |
C.若点P在x轴上,则![]() |
D.若点P在x轴上,且满足![]() ![]() |
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解题方法
2 . 已知抛物线
的焦点为
,抛物线
的焦点为
,
,A,B,C为
上不同的三点.
(1)求
的标准方程;
(2)若直线
过点
,且斜率
,求
面积的最小值;
(3)若直线
,
与
相切,求证:直线
也与
相切.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4428756f1088ce78ed97cbcea99775f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c9c87eba774f6bc072663d32d11fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e2a53d1a4b083d0f4d0b64ed0d0353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d165046175c70690335c3c8ce97b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3738fa0ab2ac2aa1da705ea85f3b9b21.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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解题方法
3 . 已知椭圆:
与双曲线:
有公共焦点
,
,它们的离心率分别为
,
,P是它们在第一象限的交点,
的内切圆圆心为Q,
,O为坐标原点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29eb5ce3f09c49dfa489a3b0bd5beafb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377f6c52661d32168c7891aac946eef7.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.过![]() ![]() |
D.两个曲线在P点处的切线互相垂直 |
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4 . 椭圆
:
的离心率为
,圆
:
的周长为
.
(1)求
的方程;
(2)如图,
是
的左焦点,过
的直线交圆O于点M,N,线段
的垂直平分线交C于点P,Q,交
于点A.
(i)证明:四边形
的面积为定值.
(ii)记
,
的面积分别为
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347b68f42934c74e0d759a67613a1da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557a94abe27623e48ee2c729a8352b8c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
(i)证明:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96198405db093eb43952282a69332f92.png)
(ii)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46377cebc8defe6d156cc7451f5f1278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f275ea55885ec89eb99fdefec5666c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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名校
5 . 已知
,其中
,则
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a451604bbc523c83b10d104f4e2986a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee03b40111d964fdb502f42c5966601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2bbbb39cfb42c81cfb75b52a6fbc43.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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2卷引用:辽宁省丹东市东港市第二中学2024届高三下学期高考热身考试数学试卷
6 . 一般地,抛物线的三条切线围成的三角形称为抛物线的切线三角形,对应的三个切点形成的三角形称为抛物线的切点三角形.如图,
,
分别为抛物线
的切线三角形和切点三角形,
为该抛物线的焦点.当直线
的斜率为
时,
中点的纵坐标为
.
.
(2)若直线
过点
,直线
分别与该抛物线的准线交于点
,记点
的纵坐标分别为
,证明:
为定值.
(3)若
均不与坐标原点重合,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed4022e6522665dab4ce898a539e5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6d8eaacc2d999b37209feba103f9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c0ba21d81e9f78014ea501cd494af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26690f078768c54d833988769b8bc425.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120c51a5eda9524a1e187420c0c8bac6.png)
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7 . 设抛物线
,过点
的直线与
交于
两点,且
.若抛物线
的焦点为
,记
的面积分别为
.
的最小值.
(2)设点
,直线
与抛物线
的另一交点为
,求证:直线
过定点.
(3)我国古代南北朝数学家祖暅所提出的祖暅原理是“幂势既同,则积不容异”,即:夹在两个平行平面间的两个几何体被平行于这两个平面的任意平面所截,如果截得的两个截面的面积总相等,那么这两个几何体的体积相等.当
为等腰直角三角形时,记线段
与抛物线围成的封闭图形为
绕
轴旋转半周形成的曲面所围成的几何体为
.试用祖桓原理的数学思想求出
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c0eec43d5b63ea6473d4db55f6616d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bde7dffe15aab0af3f5163c231fb86d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234c20c6349129e8fd64df13eb3368a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d354bb51cf265ad8412dd713c382dad8.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2fa1e61446162d6db06ec48ed7a64f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(3)我国古代南北朝数学家祖暅所提出的祖暅原理是“幂势既同,则积不容异”,即:夹在两个平行平面间的两个几何体被平行于这两个平面的任意平面所截,如果截得的两个截面的面积总相等,那么这两个几何体的体积相等.当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5414ae4121af4ff378c33a956f17f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
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解题方法
8 . 已知双曲线
的两条渐近线分别为
和
,右焦点坐标为
为坐标原点.
(2)直线
与双曲线的右支交于点
(
在
的上方),过点
分别作
的平行线,交于点
,过点
且斜率为4的直线与双曲线交于点
(
在
的上方),再过点
分别作
的平行线,交于点
,这样一直操作下去,可以得到一列点
.
证明:①
共线;
②
为定值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4073d527d4b14759a7cbaeabfb35a756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d9fc68d6d88485e65bfc599dfdde547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c388c5a37852ee8ea1066ce1f9c1d5dd.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81337e2e2dbdd0c3148454fa41d44144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8454989732716850cb57ca15f8ef596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8454989732716850cb57ca15f8ef596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c7d2c85e7878b6cbfb45b71ffb60b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ee712dfc82e1acc31ef8dcad479a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ee712dfc82e1acc31ef8dcad479a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c7d2c85e7878b6cbfb45b71ffb60b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ca7a25d804f483ec024c735c633e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8357bec2e11a9f9756cd7c7e9143afca.png)
证明:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db4fe79b98486f0d4556f37d64d74f9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeda3264e04e2d3ed2a15c69adad05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dd9cb5cac04bc15c02f292b38d2928.png)
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9 . 定义:若函数
图象上恰好存在相异的两点
满足曲线
在
和
处的切线重合,则称
为曲线
的“双重切点”,直线
为曲线
的“双重切线”.
(1)直线
是否为曲线
的“双重切线”,请说明理由;
(2)已知函数
求曲线
的“双重切线”的方程;
(3)已知函数
,直线
为曲线
的“双重切线”,记直线
的斜率所有可能的取值为
,若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ece491f9ba053a2ead5ad54138d779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d430e6eb5f8b43723db095937fbc74f7.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5776b27d76690a67770d954a47bfb0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6f04900fb8400a415b1067320a2f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e540ef465ca68c186cc972d54d3a268e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6b9ccddda8585a04f8ab4d4b4583a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a097fa8e3bfa45de1ea35f1ad907fe3.png)
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|
5卷引用:辽宁省辽阳市2023-2024学年高三下学期二模数学试卷
辽宁省辽阳市2023-2024学年高三下学期二模数学试卷广西2024届高三4月模拟考试数学试卷河北省邢台市2024届高三下学期教学质量检测(一)数学试题(已下线)模块五 专题5 全真拔高模拟5(苏教版高二期中研习)(已下线)专题16 对数平均不等式及其应用【练】
10 . 我们所学过的椭圆、双曲线、抛物线这些圆锥曲线,都有令人惊奇的光学性质,且这些光学性质都与它们的焦点有关.如从双曲线的一个焦点处出发的光线照射到双曲线上,经反射后光线的反向延长线会经过双曲线的另一个焦点(如图所示,其中
是反射镜面也是过点
处的切线).已知双曲线
(
,
)的左右焦点分别为
,
,从
处出发的光线照射到双曲线右支上的点P处(点P在第一象限),经双曲线反射后过点
.
当
,
,且直线
的倾斜角为
时,求反射光线
所在的直线方程;
(2)从
处出发的光线照射到双曲线右支上的点
处,且
三点共线,经双曲线反射后过点
,
,
,延长
,
分别交两条渐近线于
,点
是
的中点,求证:
为定值.
(3)在(2)的条件下,延长
交y轴于点
,当四边形
的面积为8时,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
(2)从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14407af8228940400ff84d7178c35462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c91133f180bb95108505e1404225c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8072babbec756343ca6327b4f5cf5359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e02c09428538ce8ae136cff26d3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f2b5b1e9ef7dd60486b550eb4cbec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fcb20a6972108871adbf284f9e5006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03269994367213697055deb589bb794a.png)
(3)在(2)的条件下,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf17cb715bbee9a0246d926385849a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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