名校
1 . 二维空间中,圆的一维测度(周长)
,二维测度(面积)
;三维空间中,球的二维测度(表面积)
,三维测度(体积)
.应用合情推理,若四维空间中,“特级球”的三维测度
,则其四维测度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4db8437c6d4376b55bdceed535b0bb.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8469d348cd31a3a1429e0828954d6164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50390afd2cf9ed105ad1f9e1873d7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68159e318b99528a6e641f9b8804ec8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8dd1a91f4087c0386c9d1d50a22c72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f0c38d83113af52b14095c052a44fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4db8437c6d4376b55bdceed535b0bb.png)
您最近一年使用:0次
2020-06-23更新
|
795次组卷
|
7卷引用:江西省上饶市2018届高三下学期第二次高考模拟数学(文)试题
2 . 给出下面类比推理:
①“若
,则
”类比推出“若
,则
”;
②“
”类比推出“
”;
③“
、
,若
,则
”类比推出“
、
,若
,则
”;
④“
、
,若
,则
”类比推出“
、
,若
,则
(
为复数集)”.
其中结论正确序号的是_______ .
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b920eeb1c7e47f8cc07f66a9e210072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd851caf97d430a0c7d7ecd64871dd98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dccd39d408172e290459da48441d284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3271d6c8a9a968dbd02b9786e925370e.png)
③“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c3d4b11fc2ae913cc27b6b63fc199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea39c2b2c49382dd53266b413f9561ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c3d4b11fc2ae913cc27b6b63fc199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
④“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481ee0d1e39e92a4732eea90225eb94c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea39c2b2c49382dd53266b413f9561ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481ee0d1e39e92a4732eea90225eb94c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
其中结论正确序号的是
您最近一年使用:0次
3 . 《九章算术》“少广”算法中有这样一个数的序列:列出“全步”(整数部分)及诸分子分母,以最下面的分母遍乘各分子和“全步”,各自以分母去约其分子,将所得能通分之分数进行通分约简,又用最下面的分母去遍乘诸(未通者)分子和以通之数,逐个照此同样方法,直至全部为整数,例如:
及
时,如图:
![](https://img.xkw.com/dksih/QBM/2020/4/4/2434434026209280/2435879352745984/STEM/8ec1982a7ae6448795be16005fd3e6a1.png?resizew=316)
记
为每个序列中最后一列数之和,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://img.xkw.com/dksih/QBM/2020/4/4/2434434026209280/2435879352745984/STEM/fd8d9ccf0e194434a57cc79839ec48f2.png?resizew=113)
![](https://img.xkw.com/dksih/QBM/2020/4/4/2434434026209280/2435879352745984/STEM/8ec1982a7ae6448795be16005fd3e6a1.png?resizew=316)
记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48e81b54f78b96294295542b010dfb.png)
A.147 | B.294 | C.882 | D.1764 |
您最近一年使用:0次
名校
解题方法
4 . 某同学在一次研究性学习中,发现有以下三个等式成立:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49d09e9ce3867504928a3f7feb70035.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9206e0b9824703abddb2c3d742bb1137.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b106259ba9e33eccdc18118531b265.png)
该同学做了进一步大胆的猜想、推理,并查表验证,发现以下三个等式也成立.
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6676c7872daf725b1907b86a7b7a4f62.png)
⑤![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3eb0394c741902112ccc02ef6f890c2.png)
⑥![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c620eb536998e31af089b8fbab609f.png)
请你分析上述各式的共同特点,猜想出更一般的规律,并加以证明.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49d09e9ce3867504928a3f7feb70035.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9206e0b9824703abddb2c3d742bb1137.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b106259ba9e33eccdc18118531b265.png)
该同学做了进一步大胆的猜想、推理,并查表验证,发现以下三个等式也成立.
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6676c7872daf725b1907b86a7b7a4f62.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3eb0394c741902112ccc02ef6f890c2.png)
⑥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c620eb536998e31af089b8fbab609f.png)
请你分析上述各式的共同特点,猜想出更一般的规律,并加以证明.
您最近一年使用:0次
2020-04-01更新
|
156次组卷
|
3卷引用:山西省太原市第五中学2018-2019学年高二下学期4月阶段性测试数学(文)试题
5 . 给出下面类比推理命题(其中
为有理数集,
为实数集,
为复数集):①“若
,则
”类比推出“若
,则
”;②“若
,则复数
且
”类比推出“若
,则复数
且
”;③“若
,则
”类比推出“若
,则
”.其中类比结论错误的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df72df862b00830a5d07b804fee9c420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2130dfd8a7f257cd858d55f01c2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df72df862b00830a5d07b804fee9c420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ac12138178cb539a9e1c8f77587038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01bf8cb93c84f9bc78b8b36a3d0e3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc330a9671536bc46fa244b4ceebcf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343b7ba728f9b123b34a8f0ba4aa0c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb15a62f85857e7bebb72c10558a5abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc330a9671536bc46fa244b4ceebcf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d31a5c00e830688badb6d91630b72a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2130dfd8a7f257cd858d55f01c2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d31a5c00e830688badb6d91630b72a.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
2020-03-20更新
|
255次组卷
|
11卷引用:2012-2013学年宁夏银川一中高二上学期期末考试文科数学试卷
(已下线)2012-2013学年宁夏银川一中高二上学期期末考试文科数学试卷(已下线)2013-2014学年湘教版高二数学选修2-2基础达标6.1练习卷辽宁省抚顺市第十中学2018-2019学年高二下学期期中考试数学(理)试题天津市静海县第一中学2017-2018学年高二4月学生学业能力调研测试数学(文)试题湖北省省实验中学联考2018-2019学年高二下学期期末数学(文)试题宁夏育才中学2016-2017学年高二下学期期中考试数学(理)试题吉林省实验中学2016-2017学年高二下学期期中考试数学(文)试题【校级联考】福建省上杭县第一中学等六校2018-2019学年高二下学期期中考试数学(文)试题安徽省蚌埠市第二中学2016-2017学年高二下学期期中考试数学(文)试题湖北省鄂东南省级示范高中教育教学改革联盟学校2018-2019学年高二下学期期中联考数学(文)试题广西崇左高级中学2020-2021学年高二下学期第一次月考数学(文)试题
6 . 定义一种向量运算“
”:
(
,
是任意的两个向量).对于同一平面内的向量
,
,
,
,给出下列结论:
①
;
②
;
③
;
④若
是单位向量,则
.
以上结论一定正确的是_________ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e16415b61722f9961e412386e6819f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f47d21ca8ec31c4a9f49ec027fdbf2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3cc805723d3ecc95b4472d13bb1bb6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e55d525bc9c205f072db79b9da49b16.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ed700426f9eee4ff403e39cb5482a3.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f5e9e5e2254783a5906ddc978a6c7f.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3cc805723d3ecc95b4472d13bb1bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d744b18b7870a0887f01a30d12ead8c.png)
以上结论一定正确的是
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7 . 设一元二次方程
的两个根分别为
,
,则方程可写成
,即
.容易发现:
,
.设一元三次方程
的三个非零实根分别为
,
,
,以下正确命题的序号是( )
①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ff52ec8dab4aaac7b28a0efe580d86.png)
![](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/27dd090f2588b8121c0bae09a2592d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4088433676653abb89dc2e20b7c79908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05dd02b6f561dcf94bab8a3160108d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897630dd340ec6c6b20cdd754d0a12c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db92d5c0ce7887591208ecefbf2c557.png)
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42879b831382d3d84c43a70a3ed78f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6794011ce5d1e2ee33c1f316242504b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deed03cf8549e604acfbe89c1f73d37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c100d28933d6637f946f31bb93c42418.png)
A.①②③ | B.①②④ | C.②③④ | D.①③④ |
您最近一年使用:0次
8 . 若
,
,
是三个任意向量,则下列推理正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
A.对实数![]() ![]() ![]() ![]() ![]() |
B.对实数![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.对实数![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.对实数![]() ![]() ![]() ![]() |
您最近一年使用:0次
2019-12-09更新
|
186次组卷
|
6卷引用:沪教版 高二年级第一学期 领航者 第八章 8.2 向量的数量积(1)
沪教版 高二年级第一学期 领航者 第八章 8.2 向量的数量积(1)(已下线)2019年12月15日《每日一题》一轮复习文数-每周一测(已下线)2019年12月15日《每日一题》一轮复习理数-每周一测沪教版(2020) 必修第二册 领航者 第8章 平面向量 8.2向量的数量积 第2课时 向量的数量积的定义与运算律沪教版(2020) 必修第二册 领航者 一课一练 第8章 8.2 第2课时 向量的数量积的定义与运算律沪教版(2020) 必修第二册 单元训练 第8章 向量的数量积 (A卷)
9 . 把几个图形拼成一个新的图形,再通过两种不同的方法计算同一个图形的面积,可以得到一个等式,也可以求出一些不规则图形的面积.例如,由图1可得等式:
.
![](https://img.xkw.com/dksih/QBM/2019/11/24/2340685032931328/2340904632180736/STEM/aafae3335ab944cd9080cc7ced99b9c8.png?resizew=359)
(1)如图2,将几个面积不等的小正方形与小长方形拼成一个边长为
的正方形,试用不同的形式表示这个大正方形的面积,你能发现什么结论?请用等式表示出来;
(2)利用(1)中所得到的结论,解决下面的问题:已知
,
,求
的值;
(3)如图3,将两个边长分别为
和
的正方形拼在一起,
,
,
三点在同一直线上,连接
和
.若这两个正方形的边长满足
,
,请求出阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354afb93da0e9849bdabbd7fa0eacff3.png)
![](https://img.xkw.com/dksih/QBM/2019/11/24/2340685032931328/2340904632180736/STEM/aafae3335ab944cd9080cc7ced99b9c8.png?resizew=359)
(1)如图2,将几个面积不等的小正方形与小长方形拼成一个边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24380b6ba55d45db78141caeca806f33.png)
(2)利用(1)中所得到的结论,解决下面的问题:已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2b568389d1e35b54532c631afc3aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812db633be14f64c91f5363ffbcb1ab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4067a19eeb07474557fe7b2508880.png)
(3)如图3,将两个边长分别为
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34b5e49102150ea3570b9f2b983ec4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d3519124747c812acb13832eb16056.png)
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10 . 已知
观察下列算式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435a1e9d28db870ca604b6204db785a9.png)
若
,则
的值为()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e989f715e5b16720895d6f20a587dcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435a1e9d28db870ca604b6204db785a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759a14d43b8ba546eb9d389a007e1633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec12381fa8a6320ddda5d6d96773f13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次