名校
解题方法
1 . 已知定义在
上的函数
为偶函数,且
.
(1)求
的解析式;
(2)判断并用单调性定义证明
在
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6794b9b34ac23dc91f77f307b4b0cf4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断并用单调性定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
您最近一年使用:0次
2023-03-10更新
|
714次组卷
|
6卷引用:四川省德阳市德阳中学校2022-2023学年高一下学期3月月考数学试题
名校
解题方法
2 . 如图,
为等腰三角形,且
,
平面
,
∥
,
,点
为
的中点.求证:
(1)
∥平面
;
(2)平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ee81929c987732fcb379802eeef7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cd3f71740cfe3b198d45cd4ed97cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/8/ce84f396-0a9e-46ab-86ef-8e8c05d70b0e.png?resizew=188)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce473e3665758288354206edba75907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c8d14529fa65aae04dcc3f2b3a5c90.png)
您最近一年使用:0次
2023-07-06更新
|
668次组卷
|
2卷引用:四川省遂宁市2022-2023学年高一下学期期末数学试题
名校
解题方法
3 . 如图,在四棱锥中,底面
为矩形,平面
平面
,
,
,
,
为
中点.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ab924e3692515bd8be4c36472a959a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47548785e478bc5b9591341a881e3127.png)
您最近一年使用:0次
2023-07-21更新
|
1337次组卷
|
7卷引用:四川省成都市成都市石室中学2021-2022学年高一下学期期末数学试题
四川省成都市成都市石室中学2021-2022学年高一下学期期末数学试题云南省下关第一中学2023-2024学年高二上学期见面考试数学试题(已下线)模块三 专题1 利用空间向量求解探究性问题和最值问题(已下线)第02讲 空间向量的应用(1)(已下线)1.4.1 用空间向量研究直线、平面的位置关系【第三课】(已下线)专题05 用空间向量研究直线、平面的平行、垂直问题10种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)(已下线)通关练02 用空间向量的解决平行垂直问题10考点精练(50题) - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)
4 . 如图,多面体
中,四边形
为平行四边形,
,
,四边形
为梯形,
,
,
,
,
,平面
平面
.
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921a71040d18df8b33bc41995675a586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d5a164bf56f8fb92527ad78bc10ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dced11455b3e31a9090915f80a046fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb52f9b226b1db3f6f9f055948bd38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6370d6c626bdabf1fc694501ee6c714f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56512504254ab7f574a717dd6830fb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c6f6c2de974e341da82150b7373c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d5a164bf56f8fb92527ad78bc10ccf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/24/5ad85ab5-0687-4a02-b424-7c57e08cf6ca.png?resizew=240)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c34b18525831f3eda7bb90be0199b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2023-07-18更新
|
645次组卷
|
2卷引用:四川省成都市成都市石室中学2022-2023学年高一下学期期末数学试题
名校
解题方法
5 . 如图,在正
中,
,
分别是
,
上的一个三等分点,分别靠近点
,点
,且
,
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/2/49320185-8072-4584-8f5a-a6db85ddf0fe.png?resizew=172)
(1)用
,
表示
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](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/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/2/49320185-8072-4584-8f5a-a6db85ddf0fe.png?resizew=172)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a20abb668d4c26fe5039bd108b40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471ac0f42d01c6d6e094b63628586e4d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a5ca043c87e3de20d74206cabed8fe.png)
您最近一年使用:0次
2023-04-01更新
|
882次组卷
|
2卷引用:四川省雅安中学2022-2023学年高一下学期3月月考数学试题
6 . 如图,在三棱锥
中,
.点
是
的中点,
,连接
.
(1)求证:平面
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25004a4b25dadc2308d08e69877f3d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1718a47495701cb2493a07abf2d16d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7835c72d14f9d61b95b15aa47fafac2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/16/e75e3ffb-2fc0-4236-9bb0-ea213c622b1c.png?resizew=153)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17580410bf63dba4fe164265afaac4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d781525777c7b5284dffc70b2a28a.png)
您最近一年使用:0次
7 . 如图,在四棱锥
中,
是边长为
的正三角形,底面
为菱形,
为
的中点,且
平面
,
与
交于点
,
为
上一点,且
.
(1)求证:平面
平面
;
(2)若
,求异面直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a37e7d0cae3308c2a986f8cdf604824.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/15/ffa9e645-3939-4d56-908c-f4e03984572a.png?resizew=170)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc6db50a9709c3f4d84eee7bdf1250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5a86745bfe1dfe7bc2683811210330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
13-14高一下·四川凉山·阶段练习
8 . 用向量的方法证明如图,在
中,点E,F分别是AD和DC边的中点,BE,BF分别交AC于点R,T.你能发现AR,RT,TC之间的关系吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
您最近一年使用:0次
2023-10-09更新
|
410次组卷
|
13卷引用:2013-2014学年四川省金阳中学高一3月月考数学试卷
(已下线)2013-2014学年四川省金阳中学高一3月月考数学试卷人教A版(2019) 必修第二册 逆袭之路 第六章 6.4 平面向量的应用 小结(已下线)6.4 平面向量的应用(已下线)专题6.9 平面向量的应用(重难点题型精讲)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)人教A版(2019)必修第二册课本习题 习题6.4北师大版(2019)必修第二册课本习题第二章6.2平面向量在几何、物理中的应用举例(已下线)第6章 平面向量初步-【优化数学】单元测试基础卷(人教B版2019)(已下线)专题04 平面向量的应用 (1)-【寒假自学课】(人教A版2019)(已下线)专题6.5 平面向量的应用-举一反三系列(已下线)第05讲 平面向量的应用-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)专题1.6 平面向量在几何和物理中的应用-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)6.2 平面向量在几何、物理中的应用举例北师大版(2019)必修第二册课本例题6.2 平面向量在几何、物理中的应用举例
名校
9 . 已知四棱锥P-ABCD中,PA⊥底面ABCD,
,AD=CD=1,∠BAD=120°,
,∠ACB=90°.
(1)求证:BC⊥平面PAC;
(2)求直线PC与平面PAB所成的角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/20/244ed6eb-17d8-49af-8ce7-6c123f576b9e.png?resizew=160)
(1)求证:BC⊥平面PAC;
(2)求直线PC与平面PAB所成的角的正弦值.
您最近一年使用:0次
2023-06-17更新
|
1103次组卷
|
2卷引用:四川省绵阳市南山中学实验学校2022-2023学年高一下学期6月月考数学试题
名校
10 . 如图1,四边形
为菱形,
,
是边长为2的等边三角形,点
为
的中点,将
沿
边折起,使
,连接
,如图2,
(1)证明:
;
(2)求二面角
的余弦值;
(3)在线段
上是否存在点
,使得
∥平面
?若存在,请找出
点的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be41b05e11ba5eadaaed9a224b949774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/24/9b5b3361-bdaa-4876-8ba9-4d1e973176f8.png?resizew=340)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafa8c14100a4f847b41b9148954116c.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a438393ddfc7da1804baf4932442bb35.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/101d5eb54d3f629a378bfd5324f554dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次