名校
解题方法
1 . 设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e41c0479c52146a1e5bb22d901f44b4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知
,且
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771cf3c246003e5697efac88f7a5db30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b196f54c6eb4c74b3a3a4fc7a667fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb18cb892c1f04bc71ceb65858982e34.png)
您最近一年使用:0次
3 . 已知函数
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32dbf8717febdf6f4af43da55ea2d0b.png)
________ .若方程
的所有实根之和为4,则实数m的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2235bc9ec38b1d909529015ca856d4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b39d25d985ab69f2a08b61bf19ce84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32dbf8717febdf6f4af43da55ea2d0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4414a5a567af96e8aeb8fa2a3a397a6.png)
您最近一年使用:0次
名校
解题方法
4 . 如图.在
中,
,
分别为
的中点,P为AD与BF的交点,且
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
________ ,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a11befb78a4346dba62561d3551584.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec38bedb55b02c42c1fb552e6cbf7a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e16293158fbf4d72c6ac9207543035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62fa1ef1be00b4061f12ac38931cc443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd46778731e2b9582ea6dbe96dcaab04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a11befb78a4346dba62561d3551584.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/6032bb44-5fe6-456b-8490-4027d21cb0a4.png?resizew=121)
您最近一年使用:0次
名校
5 . 如图,在三棱柱
中,
平面
,已知
,
,
,点
是棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/1/84a21c80-1bfc-4df9-a527-6aa0cd4a8d66.png?resizew=164)
(1)求证:
平面
;
(2)求平面
与平面
夹角的余弦值;
(3)在棱
上是否存在一点
,使得
与平面
所成角的正弦值为
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2771c7ab952986d5afcce9fa827042b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7932b50fa677dfcd8e3b5061a90c133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/1/84a21c80-1bfc-4df9-a527-6aa0cd4a8d66.png?resizew=164)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ad7c180d6d084ecb25f23cb6fe9b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69bcb3226e013650b7d8827c31dd41d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914d46f7e72b55d2ff3d9bc38e02b31d.png)
(3)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914d46f7e72b55d2ff3d9bc38e02b31d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0f4f8e3032f67e672b63791cc4d9df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7e6f1b753b73381b71eb5f8cc7da42.png)
您最近一年使用:0次
2023-10-13更新
|
816次组卷
|
3卷引用:天津市咸水沽第一中学2024届高三上学期第二次月考数学试题
6 . 已知数列
的前
项和
是公比大于0的等比数列,且满足
.
(1)求
和
的通项公式;
(2)若数列
的前
项和为
,求证:
;
(3)对任意的正整数
,设数列
满足
,求数列
的前
项和
.
![](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/60bf54c01e156b315b1c9d3364ea2830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfe547380a8854f9544ed74cf358950.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ce93a537dd5f816d822ed7cd7cfc4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c91760076292a3a227fa34834e880f1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9928e46511e601913619a427ded84a3.png)
(3)对任意的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ef8539a7a09303a95b4e79fb9949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bafbbd939a48d5fcb8aa7a79f3e77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ef8539a7a09303a95b4e79fb9949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d4e8502106802f1485c3b0f28f2664.png)
您最近一年使用:0次
2023-09-26更新
|
700次组卷
|
4卷引用:天津市双港中学2022-2023学年高二上学期期末数学试题
天津市双港中学2022-2023学年高二上学期期末数学试题山东省滨州市2023-2024学年高三上学期期中数学试题山东省滨州市惠民县2024届高三上学期期中数学试题(已下线)第06讲:数列求和 (必刷5大考题+5大题型)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)
7 . 如图,
平面
,
.
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07013206f53d36de080c451a7a2a1266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411d1139c919736044af6379743b3d5c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/1de5508f-7c17-43b0-b503-4cd6edebedc8.png?resizew=167)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d32e76582bf550593fdef53e081225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
您最近一年使用:0次
2023-09-26更新
|
562次组卷
|
4卷引用:天津市双港中学2022-2023学年高二上学期期末数学试题
天津市双港中学2022-2023学年高二上学期期末数学试题(已下线)模块一 专题2 利用空间向量解决立体几何问题 (讲)2 期末终极研习室(2023-2024学年第一学期)高二人教A版福建省福州市平潭县新世纪学校2023-2024学年高二上学期12月适应性练习数学试题(已下线)第02讲:空间向量与立体几何交汇(必刷6大考题+7大题型)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019选择性必修第一册)
8 . 给出下列命题:
①直线
与线段
相交,其中
,则
的取值范围是
;
②圆
上恰有3个点到直线
的距离为1;
③直线
与抛物线
交于
两点,则以
为直径的圆恰好与直线
相切.
其中正确的命题有__________ .(把正确的命题的序号填上)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018d29fbd23afb4c465c9c5c8fd42eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b209ae7ae2448eef8bced944a6d11199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
②圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab11ba6b230c4309e1b899eb58daae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e368a6187d2efc6f28c840303c3778f.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
其中正确的命题有
您最近一年使用:0次
9 . 已知数列
满足
,
,记数列
的前
项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835ad5b73f347a2a8f4c1590d76d7249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fa00749ecade0c5f3cb706ada94b6b.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/04c2864e2ec3416cc4c081ac1f71a0af.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-09-26更新
|
1117次组卷
|
7卷引用:天津市双港中学2022-2023学年高二上学期期末数学试题
天津市双港中学2022-2023学年高二上学期期末数学试题(已下线)模块一 专题6 数列(2)(人教A)(已下线)第06讲:数列求和 (必刷5大考题+5大题型)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)(已下线)4.3等比数列(4)(已下线)专题08 求数列通项17种常见考法归类(4)(已下线)第06讲 拓展一:数列求通项(7类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)(已下线)高二上学期期末考点大通关真题精选100题(4)
10 . 准线为
的抛物线的标准方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次