1 . 在实数集R中定义一种运算“*”,具有以下三条性质:
(1)对任意
;(2)对任意
;
(3)对任意
.
给出下列四个结论:
①
;
②
;
③对任意
;
④存在
.
其中,所有正确结论的序号是__________ .
(1)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41307352e4696dedf162a8d64c716681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86156a0fb671821a8e195f86092c90f5.png)
(3)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b251b68d4f6a300517baf0e2c491f431.png)
给出下列四个结论:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344879ccb12bf39ed154a748c94cec0d.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a79d57ff8452200848a47e3bd95db74.png)
③对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff11ef9cd822c44bebe2288909c73b.png)
④存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/056c8c2e68580bb9180b7599f84e8723.png)
其中,所有正确结论的序号是
您最近一年使用:0次
2020-09-14更新
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262次组卷
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2卷引用:北京市人民大学附属中学2021届高三(上)8月练习数学试题
2 . 下面各选项用类比推理,现给出了以下四个结论
①已知三条直线
、
、
,若
,
,则
.类推出:已知向量
、
、
,若
,
,则
.
②已知实数
、
,若方程
有实数根,则据判别式
,有
.类推出:已知复数
、
,若方程
有实数根,据判别式
,有
.
③以原点
为圆心,
为半径的圆方程
,类推出:以空间原点
为球心,以
为半径的球方程为
.
④若集合
,
,
,
,满足
,则称
,
,
,
为集合
的一种离散.即
时,有
种离散;
时,有
种离散;
时,有
种离散;
……,类推出:
时,必有
种离散.
则正确的结论编号为( )
①已知三条直线
![](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/7ff4e42856fa5f6a4e12993e53b065e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e7f48cb7e14361e0e7b20eae592cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1dd133d58073910a0bf45dfaf970130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b23cc1e2140104001dd399ace17e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01befa7f7561b4f33725fd714dbca42c.png)
②已知实数
![](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/1146110d4382c714c10de00dd1273b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f90d5c270e921517a949db5cd70b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957788c37ffa9ddfd51079d556f44c9c.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/1146110d4382c714c10de00dd1273b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f90d5c270e921517a949db5cd70b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957788c37ffa9ddfd51079d556f44c9c.png)
③以原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bef49f4847f1c47ba40e100d62355c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3503d330608e7138d1b529aba4512fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bef49f4847f1c47ba40e100d62355c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2c17a5f216d6529186457fca6dabd6.png)
④若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ce52015325c0436574d875081f417d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871e716ac2673f621095e27edae7506c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c09a0d924acb0b70f5b92b1ef2b6b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4e8a2c770e2b5be5e6d4591eda556f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a2ac0a62b045de3d60dba0a0a92287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866144f3109bdbe7e8358c063152d928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911f3ab7bddce2449f92426a8839aa9e.png)
……,类推出:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff666b8fcf4bcee736543d1a3dfb3c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f483075e0778776b76d625159bdbbaf.png)
则正确的结论编号为( )
A.①③ | B.③④ | C.②③ | D.①② |
您最近一年使用:0次
2020-07-29更新
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199次组卷
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2卷引用:2020年全国普通高等学校统一招生考试试验检测卷1数学(理科)试题
名校
3 . 已知数列
满足:对任意
,若
,则
,且
,设
,集合
中元素的最小值记为
;集合
,集合
中元素最小值记为
.
(1)对于数列:
,求
,
;
(2)求证:
;
(3)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5897fd42e01b077fe8685e7b7a71e278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbc054e041fa0b53feb9b81a4608347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a205f096c854a2f7cd71255056f9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7aad65e4222bcab9f6ddc94ea495de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f8fdbba79ddbc156bbb300b1b051e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c342a95c3bc9c6ec834337b12bcf8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74fd79d9aa9740d095affe36788e01cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a1493a001b60b0e94e342d428caa.png)
(1)对于数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cf64aad412f59d047c97efa1516175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c342a95c3bc9c6ec834337b12bcf8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a1493a001b60b0e94e342d428caa.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5aa00523d3ab546ab459d1fff0a6136.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c342a95c3bc9c6ec834337b12bcf8e.png)
您最近一年使用:0次
2020-06-13更新
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479次组卷
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4卷引用:2020届上海市七宝中学高三三模数学试题
2020届上海市七宝中学高三三模数学试题上海市七宝中学2020届高三下学期模拟数学试题(已下线)卷11-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(北京专用)(已下线)考向29 推理与证明-备战2022年高考数学一轮复习考点微专题(上海专用)
4 . 已知当|
时,有
,根据以上信息,若对任意
都有
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d211c5a622d0be3b39931d814f9a683.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17df70d1a676fed1662f3dc028f48150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcc5de363ebda05f15b6c784a2b8e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b897bbfe506d0ff97fa40d12013a026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098cbb44803defccd8b2b6ab58eecb2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d211c5a622d0be3b39931d814f9a683.png)
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2020-05-04更新
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1226次组卷
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4卷引用:上海市华东师范大学第二附属中学2019-2020学年高二下学期(4月)月考数学试题
(已下线)上海市华东师范大学第二附属中学2019-2020学年高二下学期(4月)月考数学试题(已下线)专题4.6 排列组合和二项式定理【压轴题型专项训练】-2020-2021学年高二数学下学期期末专项复习(沪教版)(已下线)第6章 计数原理(新文化与压轴30题专练)2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)湖北省部分县市区省级示范高中温德克英协作体2023-2024学年高二上学期期末综合性调研考试数学试题
5 . 命题:在三角形中,顶点与对边中点连线所得三线段交于一点,且分线段长度比为
,类比可得在四面体中,顶点与所对面重心的连线所得四线段交于一点,且分线段比为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe103f073845122c66f22dcb14b711f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 在推导很多三角恒等变换公式时,我们可以利用平面向量的有关知识来研究,在一定程度上可以简化推理过程.如我们就可以利用平面向量来推导两角差的余弦公式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6276ff5468f5aa9c6eaff479c26cc7.png)
具体过程如下:
如图,在平面直角坐标系
内作单位圆O,以
为始边作角
.它们的终边与单位圆O的交点分别为A,B.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3378e1b0-11ac-4e21-89d7-e7bef545c1e9.png?resizew=334)
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98717138350884b83b2bc3335ac3262.png)
由向量数量积的坐标表示,有:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437ebce60a1d755209353f0d94462154.png)
设
的夹角为θ,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665d77a90728ca9eb4d63b07dbe89e80.png)
另一方面,由图3.1—3(1)可知,
;由图可知,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/8e003e58-f755-4f57-ba40-42e3c44c2f0e.png?resizew=348)
.于是
.
所以
,也有
,
所以,对于任意角
有:
(
)
此公式给出了任意角
的正弦、余弦值与其差角
的余弦值之间的关系,称为差角的余弦公式,简记作
.
有了公式
以后,我们只要知道
的值,就可以求得
的值了.
阅读以上材料,利用下图单位圆及相关数据(图中M是AB的中点),采取类似方法(用其他方法解答正确同等给分)解决下列问题:
(1)判断
是否正确?(不需要证明)
(2)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889623d5e61054f38a35aedd644c9ff5.png)
(3)利用以上结论求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6276ff5468f5aa9c6eaff479c26cc7.png)
具体过程如下:
如图,在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa404d3ff313b0a28a76a48d7d87234.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3378e1b0-11ac-4e21-89d7-e7bef545c1e9.png?resizew=334)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98717138350884b83b2bc3335ac3262.png)
由向量数量积的坐标表示,有:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437ebce60a1d755209353f0d94462154.png)
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538844ce819df320039e394ba92356f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665d77a90728ca9eb4d63b07dbe89e80.png)
另一方面,由图3.1—3(1)可知,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655ee7e11f540619722504916419e009.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/8e003e58-f755-4f57-ba40-42e3c44c2f0e.png?resizew=348)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eedcc65589e7529da85a578bd0ecb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e366809cf946d825277ad151abb374a2.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a689c643b92f5fafe77fb2c754b0184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6276ff5468f5aa9c6eaff479c26cc7.png)
所以,对于任意角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6276ff5468f5aa9c6eaff479c26cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e74ca761ffa2566a9851c5ce9ccaaf.png)
此公式给出了任意角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e74ca761ffa2566a9851c5ce9ccaaf.png)
有了公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e74ca761ffa2566a9851c5ce9ccaaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1455db71a4123b3317dcfce3e2005e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d521f8d021b20757d7a68107fcef1d.png)
阅读以上材料,利用下图单位圆及相关数据(图中M是AB的中点),采取类似方法(用其他方法解答正确同等给分)解决下列问题:
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f93aa4ff886e380c9b7c05dbafd08d.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889623d5e61054f38a35aedd644c9ff5.png)
(3)利用以上结论求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1414c4eb3a476aac49f6a35d62b1f7ac.png)
您最近一年使用:0次
2020-05-22更新
|
713次组卷
|
3卷引用:贵阳市普通高中2018-2019学年度高一上学期数学期末质量监测试题
贵阳市普通高中2018-2019学年度高一上学期数学期末质量监测试题贵州省贵阳市2018-2019学年高一(上)期末数学试题(已下线)大题好拿分期中考前必做30题(压轴版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
名校
7 . 研究问题:“已知关于x的不等式ax2-bx+c>0的解集为(1,2),解关于x的不等式cx2-bx+a>0”,有如下解法:由ax2-bx+c>0⇒a-b
+c
>0.令y=
,则y∈
,所以不等式cx2-bx+a>0的解集为
.类比上述解法,已知关于x的不等式
+
<0的解集为(-2,-1)∪(2,3),则关于x的不等式
+
<0的解集为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac61d688b39b76bb8871025535997205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb4ed63e9545e9ad3a4ca070716aa5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd1ed0ae4816293bdb290ed7003337c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f90dcb545a3c40a7803251184dba15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8a50ff0cf1d2e1f31956785b6a0537.png)
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8 . 斐波那契数列是数学史上一个著名数列,它是意大利数学家斐波那契在研究兔子繁殖时发现的,若数列
满足
,则称数列
为斐波那契数列,该数列有很多奇妙的性质,如根据
可得:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c587d225f909233b772abf6e6bed9a19.png)
,类似的,可得:
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af3ff270ecbfe2433981bedc8ddda7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5b32f90ebc14fdf6a969fa3f22ef40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c587d225f909233b772abf6e6bed9a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e4734840c2a581d5fb300ab46c7f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f125a8a2fa01dbd45c7601c11cfa2e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 定义两种运算“★”与“◆”,对任意
,满足下列运算性质:①
★
,
◆
;②(
)★![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3718ccfe0f4dee154963e94f350ce15b.png)
★
,
◆
◆
,则(
◆2020)(2020★2018)的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e894d2f2d629952099de5b129476eb16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6567511bb9486b2ca7452b870abd2a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876d453473dd136199f4fd4653f00a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3718ccfe0f4dee154963e94f350ce15b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20a59d4e209de18e284961d8ee87a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d9f57622e7a88b40a5bb6d9f84dfbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6567511bb9486b2ca7452b870abd2a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f78a9477d8d2c7991f0b83ace898fc6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713ac1eb0d8cce55d51e62ef4a2b1634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6567511bb9486b2ca7452b870abd2a1f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
10 . 已知
,由
有无穷多个根:0,
,
,
,…,可得:
,把这个式子的右边展开,发现
的系数为
,即
,请由
出发,类比上述思路与方法,可写出类似的一个结论_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4febb30ed7022bb9df6ca276e0c7c6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1289059730a4c5a1d007f104078bdf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c002e82946ffe97e765194c6748594cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bec9276cab36aedebc61bfbd547233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc3f53c5847faa29c2bcc68f6782825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10eb613dec15ad906f6ccb2c5cc9fa43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e939e58a78cdc8195d73c3c28b5349.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d1320ca7e2c2e137b6250ffacdacef.png)
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