真题
解题方法
1 . 如图,椭圆的长轴
与x轴平行,短轴
在y轴上,中心为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/3ed9fd99-c37e-4477-bfd6-d8eb42e17367.png?resizew=293)
(1)写出椭圆的方程,求椭圆的焦点坐标及离心率;
(2)直线
交椭圆于两点
;直线
交椭圆于两点
,
.求证:
;
(3)对于(2)中的中的在
,
,
,
,设
交
轴于
点,
交
轴于
点,求证:
(证明过程不考虑
或
垂直于
轴的情形)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473913c0887bb64d386f4c02f1853452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc9076974ebd6331d67055302be8167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e395571ff5d1ea9ea8ceb06522211f89.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/12/3ed9fd99-c37e-4477-bfd6-d8eb42e17367.png?resizew=293)
(1)写出椭圆的方程,求椭圆的焦点坐标及离心率;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766bc42b7ead98238a339bb4dc42bb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e9c4ea393bbf064453e91f4800f967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f8af9ce5d927e6f422de42ead6ffb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a060ffc86c94a526d4d1086e5590a4f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea915b7c0562b239ea553b9ed2f9897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6318191342aedeaeeddb0f259ed759b3.png)
(3)对于(2)中的中的在
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15abfafc59b6f9f01f3be4db4df797d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8f887360a533f0a25b0b34fb11f0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
真题
2 . 已知集合
.给定数列
,和序列
,其中
,对数列
进行如下变换:将
的第
项均加1,其余项不变,得到的数列记作
;将
的第
项均加1,其余项不变,得到数列记作
;……;以此类推,得到
,简记为
.
(1)给定数列
和序列
,写出
;
(2)是否存在序列
,使得
为
,若存在,写出一个符合条件的
;若不存在,请说明理由;
(3)若数列
的各项均为正整数,且
为偶数,求证:“存在序列
,使得
的各项都相等”的充要条件为“
”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd62e1c433cfb342fcd7f334ccc968f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1039be74acc3366c11fae59651f85d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3fd26c26f6f07fabfa38eccf3d2fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89441a335677dbf88779bbb65c543375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcedacb9353214d02e5f6c7e693ac7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9353bc48a30bbf4d807d858c4604b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9353bc48a30bbf4d807d858c4604b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6995fd4ede4b441f54a1e0996447ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6caacfd319814df87257a1823d8e801c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7fbd87354b2529d4f0a155fad1b2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
(1)给定数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52596c7a4a85221a0edb36591bd6a9e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d9ec580a62b48148a48c711794a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
(2)是否存在序列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71d5d87042c71d41b61ee416d4f79724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a766e037468d9c6e4bade3de283ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62089081cbcb03a9495a3061b8570f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666ba875a2642bbec1fdfcdab8e4e62d.png)
您最近一年使用:0次
真题
3 . 对于一个函数
和一个点
,令
,若
是
取到最小值的点,则称
是
在
的“最近点”.
(1)对于
,求证:对于点
,存在点
,使得点
是
在
的“最近点”;
(2)对于
,请判断是否存在一个点
,它是
在
的“最近点”,且直线
与
在点
处的切线垂直;
(3)已知
在定义域R上存在导函数
,且函数
在定义域R上恒正,设点
,
.若对任意的
,存在点
同时是
在
的“最近点”,试判断
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e75192ed6ee73f295754edfbbb4a4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25be20e3724274132cb83b16deaeecfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6085b118b86f7f4dd54864e113cd595c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bce420cf236e5f429afee284239010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3641338ac7fd85ef574690ba1f988d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6be4ab05ff885a4a6a043eaebe7a91b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf6463a6ee745687de1ee10f4d40253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90183525765a8279328417af4bf6179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237c115d5b39d761e1cbcae031070b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
真题
名校
4 . 为研究某种农产品价格变化的规律,收集得到了该农产品连续40天的价格变化数据,如下表所示.在描述价格变化时,用“+”表示“上涨”,即当天价格比前一天价格高;用“-”表示“下跌”,即当天价格比前一天价格低;用“0”表示“不变”,即当天价格与前一天价格相同.
用频率估计概率.
(1)试估计该农产品价格“上涨”的概率;
(2)假设该农产品每天的价格变化是相互独立的.在未来的日子里任取4天,试估计该农产品价格在这4天中2天“上涨”、1天“下跌”、1天“不变”的概率;
(3)假设该农产品每天的价格变化只受前一天价格变化的影响.判断第41天该农产品价格“上涨”“下跌”和“不变”的概率估计值哪个最大.(结论不要求证明)
时段 | 价格变化 | |||||||||||||||||||
第1天到第20天 | - | + | + | 0 | - | - | - | + | + | 0 | + | 0 | - | - | + | - | + | 0 | 0 | + |
第21天到第40天 | 0 | + | + | 0 | - | - | - | + | + | 0 | + | 0 | + | - | - | - | + | 0 | - | + |
(1)试估计该农产品价格“上涨”的概率;
(2)假设该农产品每天的价格变化是相互独立的.在未来的日子里任取4天,试估计该农产品价格在这4天中2天“上涨”、1天“下跌”、1天“不变”的概率;
(3)假设该农产品每天的价格变化只受前一天价格变化的影响.判断第41天该农产品价格“上涨”“下跌”和“不变”的概率估计值哪个最大.(结论不要求证明)
您最近一年使用:0次
2023-06-19更新
|
10970次组卷
|
14卷引用:2023年北京高考数学真题
2023年北京高考数学真题专题08计数原理与概率统计(成品)(已下线)2023年北京高考数学真题变式题16-21北京十年真题专题11计数原理与概率统计北京市丰台区第二中学2024届高三上学期开学考数学试题(已下线)第四篇 概率与统计 专题7 常见分布 微点1 常见分布(已下线)第07讲 离散型随机变量的分布列与数字特征(练习)河南省信阳市信高教育集团南湾校区2023-2024学年高二上学期期末复习检测数学试题(一)(已下线)考点13 二项分布与超级几何分布 2024届高考数学考点总动员(已下线)考点18 决策的选择问题 2024届高考数学考点总动员广东番禺中学2023-2024学年高三第六次段考数学试题广东省广州市番禺中学2024届高三第六次段考数学试题专题10计数原理、概率、随机变量及其分布专题10计数原理与概率统计
5 . 已知数列
的项数均为m
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34919e3b413417f8fcc06fbfbca9bfe0.png)
的前n项和分别为
,并规定
.对于
,定义
,其中,
表示数集M中最大的数.
(1)若
,求
的值;
(2)若
,且
,求
;
(3)证明:存在
,满足
使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c53fc8ddaa412b237ecb095cf1c65335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34919e3b413417f8fcc06fbfbca9bfe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b64f109cde567dc5750276a16a6b774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d230d1915653fb876373f882ca81b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd13665a47f5548727c599936b32dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2d6df455d7702a81bdbc86f17e8c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698f45c9ed5bb04924f1037107e76988.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc21f6a796961cc506633a4fe32563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd374d21bbdff3c6f8e69b557a86e2ce.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/295f2712a68800672db5c617713eedf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9de2f1a28584f093949cc0b854dfb3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a135cb036833400f3fa1edc92d5ce410.png)
(3)证明:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23a3f55b2eb456a65b9788574437678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363d7ed2c067c37fb1dfc5e2a50ba573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eedada19441233cfac2f4e4322cf85.png)
您最近一年使用:0次
2023-06-19更新
|
10430次组卷
|
17卷引用:2023年北京高考数学真题
2023年北京高考数学真题专题05数列(成品)(已下线)2023年北京高考数学真题变式题16-21北京十年真题专题06数列北京市丰台区第二中学2024届高三上学期开学考数学试题(已下线)专题05 等比数列与数列综合求和-2023-2024学年高二数学期末复习重难培优与单元检测(人教A版2019)北京市第八十中学2023-2024学年高三上学期10月月考数学试卷(已下线)数列新定义(已下线)专题6.1 等差数列及其前n项和【九大题型】(已下线)重难点10 数列的通项、求和及综合应用【九大题型】(已下线)专题22 新高考新题型第19题新定义压轴解答题归纳(9大核心考点)(讲义)(已下线)专题30 等比数列通项与前n项和(已下线)专题21 数列解答题(理科)-2(已下线)专题21 数列解答题(文科)-3(已下线)专题2 考前押题大猜想6-10专题06数列专题14数列
真题
6 . 如图,
为椭圆的两个顶点,
为椭圆的两个焦点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/81b84268-931b-499e-914d-cc9003bd1086.png?resizew=397)
(1)写出椭圆的方程及准线方程;
(2)过线段
上异于O,A的任一点K作
的垂线,交椭圆于P,
两点,直线
与
交于点M.求证:点M在双曲线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32622697953ab5e4b4e35cd62d1b1c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/81b84268-931b-499e-914d-cc9003bd1086.png?resizew=397)
(1)写出椭圆的方程及准线方程;
(2)过线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aba947934b05caae8b0c1fb1a522a0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d49e09b17b19d7c787e95bcf1e9731.png)
您最近一年使用:0次
7 . 已知以
为直径的半圆有一个内接正方形
,其边长为1(如图).设
,作数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9568fb229373710ad4724cc3f477dfca.png)
;求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294726f8e596ce099d050ebcd538e421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9568fb229373710ad4724cc3f477dfca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5372953a9418602a7ed89b5421a47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e1f83f40a593ee29894f670f4bf24e.png)
![](https://img.xkw.com/dksih/QBM/2022/11/9/3105787452817408/3105824076627968/STEM/eb347e351cf84c4f8722c9a8545340b1.png?resizew=222)
您最近一年使用:0次
真题
解题方法
8 . 已知函数
(m为实数).
(1)m是什么数值时,y的极值是0?
(2)求证:不论m是什么数值,函数图象(即抛物线)的顶点都在同一条直线
上,画出
时抛物线的草图,来检验这个结论;
(3)平行于
的直线中,哪些与抛物线相交,哪些不相交?求证:任一条平行于
而与抛物线相交的直线,被各抛物线截出的线段都相等.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f1f56318611a08499fc2cfb95cf496.png)
(1)m是什么数值时,y的极值是0?
(2)求证:不论m是什么数值,函数图象(即抛物线)的顶点都在同一条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead73563d6232c0eea7ebd494ba3068.png)
(3)平行于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
您最近一年使用:0次
真题
9 . 如图,
是半圆的直径,C是半圆上一点,直线
切半圆于C点,
于M点,
于N点,
于D点,求证:
![](https://img.xkw.com/dksih/QBM/2022/11/7/3104404081582080/3104536535138304/STEM/058ce820ee2d4e4c9ba67c55dd4a421b.png?resizew=239)
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f721340387f17c4331a5f07a97f7025a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85c6b63bef0f632fee2e7e438a4b5cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://img.xkw.com/dksih/QBM/2022/11/7/3104404081582080/3104536535138304/STEM/058ce820ee2d4e4c9ba67c55dd4a421b.png?resizew=239)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8155e37f60e5f3de83dd6419b520debc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6676a2ed8d7c6ca3c5b2f54e468cc0.png)
您最近一年使用:0次
10 . 若A、B是抛物线
上的不同两点,弦
(不平行于y轴)的垂直平分线与x轴相交于点P,则称弦
是点P的一条“相关弦”.已知当
时,点
存在无穷多条“相关弦”.给定
.
(1)证明:点
的所有“相关弦”的中点的横坐标相同;
(2)试问:点
的“相关弦”的弦长中是否存在最大值?若存在,求其最大值(用
表示);若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924886b76c218169b2f4d00bb7e9563c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b042740af8a73f8add3ec9c586b4e540.png)
(1)证明:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9b882323edba16b3625458239b6f3.png)
(2)试问:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9b882323edba16b3625458239b6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
您最近一年使用:0次