名校
解题方法
1 . 对于数列
,如果存在等差数列
和等比数列
,使得
,则称数列
是“优分解”的.
(1)证明:如果
是等差数列,则
是“优分解”的.
(2)记
,证明:如果数列
是“优分解”的,则
或数列
是等比数列.
(3)设数列
的前
项和为
,如果
和
都是“优分解”的,并且
,求
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd84622d5883097a686797889192356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)证明:如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33119e0b8e033e27fde4505b90a1c3b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238024e8fa2058c5cbbf2f757ce9a997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e274217ecbdfeea729eaa317359e77.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15ebc127b977d405b867a151696b163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2024-06-11更新
|
939次组卷
|
5卷引用:湖北省武汉市华中师范大学第一附属中学2024届高三五月适应性考试数学试卷
2 . 给定正整数
,设数列
是
的一个排列,对
,
表示以
为首项的递增子列的最大长度,
表示以
为首项的递减子列的最大长度.
(1)若
,
,
,
,
,求
和
;
(2)求证:
,
;
(3)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa79f2092161050c26653fd3b0e91c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20681d18e13968fc0d6c7aa9b0c66392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80fdae3edccbdb22b78b114d3c15524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de122ae929b1acaff321dec137622ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb334e165679c6cb500c994cffa47147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0abedd59476f8793d5a8948590a70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f483a9467cfbb1cd9b636e05247ab9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d46063c5ce508068c8b1f59d39101b.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94536f53897365b8b1d0e89c83738cf6.png)
您最近一年使用:0次
2024-06-10更新
|
375次组卷
|
2卷引用:北京市中国人民大学附属中学2024届高三下学期5月热身练习数学试题(三模)
3 . 高斯二项式定理广泛应用于数学物理交叉领域.设
,
,记
,
,并规定
.记
,并规定
.定义![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d601aa06fb338e5e629935efcff4932.png)
(1)若
,求
和
;
(2)求
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde3af866d12045a0e9599d23bd4d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09881de0dc186bbcd1e60eb00159ee97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58df309205b8d16bbd5d0a0e4e7d053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8698bbd609efdba601a39d2eb2cb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b4ad0e3e571e1a08f420228c02c12f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dd4e67e475ed09d10ed514058ede2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a494b79124dc4e7ddc75281053742b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d601aa06fb338e5e629935efcff4932.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9a6cca129af26a517a09cf5a0f3e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b11fba3ed5a9437cea560cc3a81ef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d6808740a5b6d1c709e2e3cfe1c394.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d36b40974197a7e097094cc957e29d1.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369cd24ddc7279c5f4014d320f2580be.png)
您最近一年使用:0次
解题方法
4 . 设
,
.如果存在
使得
,那么就说
可被
整除(或
整除
),记做
且称
是
的倍数,
是
的约数(也可称为除数、因数).
不能被
整除就记做
.由整除的定义,不难得出整除的下面几条性质:①若
,
,则
;②
,
互质,若
,
,则
;③若
,则
,其中
.
(1)若数列
满足,
,其前
项和为
,证明:
;
(2)若
为奇数,求证:
能被
整除;
(3)对于整数
与
,
,求证:
可整除
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72ea8ec0d9f8b1cfc4de834b8bfb608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87803b7cee18366b89d51799250df510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6705dba65746e1d4cac6a268b3c806ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/020e12ff4f028aba3a205a95e650d72b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bda3d07c2fef4d6af4a13ade4c743e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020e12ff4f028aba3a205a95e650d72b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4d6df2a57b7e5be32c05c10257ea6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91638bacbf4d15736d26713ba90e0fc4.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/91638bacbf4d15736d26713ba90e0fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4d6df2a57b7e5be32c05c10257ea6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0601879ae4ca9592246d135bfa48658c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383eb235f8e0ceda13367b16d29e0180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503618b9bfb53a06f0ec6a5e427dcdbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0da20edf2714109dcfded7e212ec44a.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12059d1dac926a235ccd40c3b61b1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9dbd8ed61db4f1c14f6b0e5f071200.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1e4de97f8490fddcff16afe8583266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(3)对于整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b96cdd9e003120b6102d927dbf53e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5009ce2d56180d31204f77c871fb375c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b326965628b5d967aafe9e696fdc07.png)
您最近一年使用:0次
解题方法
5 . 一个不透明的袋子中装有大小、质地相同的40个小球,其中10个红球,10个黄球,20个绿球,依次随机抽取小球,每次只取1个小球,完成下列问题:
(1)若取出的小球不再放回,
①求最后取完的小球是黄球的概率;
②求红球比其余两种颜色小球更早取完的概率;
③设随机变量
为最后一个红球被取出时所需的取球次数,求
;
(2)若取出的小球又放回袋中,直到取到红球就停止取球,且最多取
次球,设随机变量
为取球次数,证明:
.
(1)若取出的小球不再放回,
①求最后取完的小球是黄球的概率;
②求红球比其余两种颜色小球更早取完的概率;
③设随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf3baba074e8aeb6f3ea117865bbd1b.png)
(2)若取出的小球又放回袋中,直到取到红球就停止取球,且最多取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217815119d30cc42255b88b89238022.png)
您最近一年使用:0次
6 . 从抛物线
上各点向
轴作垂线段,垂线段中点的轨迹为
.
(1)求
的轨迹方程;
(2)
是
上的三点,过三点的三条切线分别两两交于点
,
①若
,求
的值;
②证明:三角形
与三角形
的面积之比为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b05cc4297b34393d18222e7299e8f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4638124355b7be66231a604f667f0c.png)
②证明:三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,将边长为2的正六边形
沿对角线
折起,记二面角
的大小为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
,连接
,
构成多面体
.
平面
;
(2)问当
为何值时,直线
到平面
的距离等于
?
(3)在(2)的条件下,求多面体
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6238a6fb52a9d2e3521ba66ef9a5c247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8560ca9023cf64637ce1467f338556bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca9eb9126c7053574c62b897582ad49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94270844f197d524bf1da4f1385befd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3a079cfdcca9acdacecbf08f9f78cc.png)
(2)问当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3a079cfdcca9acdacecbf08f9f78cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(3)在(2)的条件下,求多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca9eb9126c7053574c62b897582ad49.png)
您最近一年使用:0次
2024-06-08更新
|
175次组卷
|
2卷引用:安徽省金榜教育2023-2024学年高一下学期5月阶段性大联考数学试题
8 . 当
且
时,
对一切
,
恒成立.学生小刚在研究对数运算时,发现有这么一个等式
,带着好奇,他进一步对
进行深入研究.
(1)若正数
,
满足
,当
时,求
的值;
(2)除整数对
,请再举出一个整数对
满足
;
(3)证明:当
时,只有一对正整数对
使得等式
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62d7d74585d13636e5c167a775cb227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f81a1bedc557556e614309feead266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
(1)若正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94174f37421d296a192b2df66c05f875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)除整数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
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2024-06-08更新
|
211次组卷
|
2卷引用:浙江省培优联盟2023-2024学年高一下学期5月联考数学试题
名校
解题方法
9 . 已知函数
.
(1)当
时,求
的最小值;
(2)①求证:
有且仅有一个极值点;
②当
时,设
的极值点为
,若
.求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2efe2b4b78548b27554a16f30cbbda8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c04c105ef35ea19d5a74738079e758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae1942a92849b7de5cf879777bf5868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0821dd73cd58f5b7dc26dbea4b7eed29.png)
您最近一年使用:0次
2024-06-08更新
|
662次组卷
|
3卷引用:四川省南充市2024届高三高考适应性考试(三诊)文科数学试题
名校
解题方法
10 . 梅内克缪斯在研究著名的“倍立方问题”时,第一次提出圆锥曲线的概念并加以研究,研究发现,一个平面以不同方式与圆锥相截时,得到的截口曲线不一样.如图,已知两个底面半径2,高为
的圆锥按如图放置,用一个与圆锥轴
平行的经过母线
中点
的平面去截两个圆锥,得截口曲线是双曲线
的一部分.以双曲线
的实轴为
轴,对称中心为原点建立平面直角坐标系.
的标准方程;
(2)若
为双曲线的右顶点,且关于原点的对称点为
,过点
的直线与曲线
交于
,
两点,直线
与
的交点为
,证明:点
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](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/295928bf34e92472daa74148193988dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279563c3c055777ce1aa369a2ef54aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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