1 . 如图,四棱锥
的底面是边长为4的菱形,
,平面
平面ABCD,
,M为PC的中点
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/33b7cee9-cd58-4350-8e55-c773d8cd7d81.png?resizew=195)
证明:
平面BDM;
若直线PA与底面ABCD所成角为
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef0b732956d755949fbe043da0580c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566866c39352ba27f4179ac1f3a20c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a21f5558eabdd45d46feec098ced9c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/33b7cee9-cd58-4350-8e55-c773d8cd7d81.png?resizew=195)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1666b45ed176d648dd1764f4a2dbd73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bf9e42f4ba6772a859da00df960714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a99d6271d4ad1524505b84d38d09e84.png)
您最近一年使用:0次
2019-02-17更新
|
425次组卷
|
2卷引用:【市级联考】吉林省白山市2018-2019学年高二上学期期末联考数学(文)试题
2 . 如图,在三棱锥
中,
平面ABC,且
,
.
证明:
为直角三角形;
设A在平面PBC内的射影为D,求四面体ABCD的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3910616e36cfc1292da79e709816fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4564baf209de77802d46cda82995c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50b5c7b9aa915f9613c27ac38133062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15bad03295db27144b7283e65eaa9554.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/53482b7e-f60b-4925-a354-d2eb8618790a.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f409b28f7cb97726646e79709ad25190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
您最近一年使用:0次
2018-12-31更新
|
469次组卷
|
6卷引用:【市级联考】吉林省白山市2018-2019学年高二上学期期末联考数学(文)试题
3 . 如图,四边形
为正方形,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042335d01aa2e7f6b6ca58569c7585b9.png)
,
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/60a235fe-996a-4e6b-9346-b0fe7be64b75.png?resizew=160)
(1)证明:平面
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b7af35a4b337ee57859c186abc0c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042335d01aa2e7f6b6ca58569c7585b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae36b5ad88943a96826ad0a5ed7f82a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/60a235fe-996a-4e6b-9346-b0fe7be64b75.png?resizew=160)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a46fbde58e12b1edc038ae9e921722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac66de8543430fd51e7c18042e626dd.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2def0d393ca995cfe6e2deb25fb35d3.png)
您最近一年使用:0次
2018-12-29更新
|
671次组卷
|
4卷引用:【市级联考】吉林省白山市2018-2019学年高二上学期期末联考数学(理)试题
名校
4 . 用反证法证明命题“a,b∈N,如果ab可以被5整除,那么a,b至少有1个能被5整除.”假设的内容是( )
A.a,b都能被5整除 | B.a,b都不能被5整除 |
C.a不能被5整除 | D.a,b有1个不能被5整除 |
您最近一年使用:0次
2017-11-13更新
|
795次组卷
|
9卷引用:吉林省延边市长白山第一高级中学2019-2020学年高二下学期验收考试数学(理)试卷
吉林省延边市长白山第一高级中学2019-2020学年高二下学期验收考试数学(理)试卷2015-2016学年山东省临沂十八中高二下学期第一次月考文科数学试卷山东师范大学附属中学2016-2017学年高二下学期期中考试(第七次学分认定考试)数学(文)试题辽宁省朝阳市第二高级中学2018-2019学年高二下学期期中考试数学(理)试题福建省莆田第八中学2018-2019学年高二下学期第二次月考数学(理)试题广西崇左高级中学2020-2021学年高二下学期期中考试数学(理)试题陕西省榆林市第十二中学2020-2021学年高二下学期第二次月考文科数学试题江西省新余市2021-2022学年高二上学期期末数学(文)试题陕西省宝鸡市金台区2021-2022学年高二下学期期中理科数学试题
5 . 如图,在四棱锥
中,
平面
,底面
为菱形,且
,
,
、
分别为
、
中点.
![](https://img.xkw.com/dksih/QBM/2017/3/16/1645189786705920/1649143853350912/STEM/e696a4d56f15447abfdd64a13ce69c1f.png?resizew=168)
(1)求点
到平面
的距离;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4564baf209de77802d46cda82995c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f621b2c567303e5d3c67d0e044007f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948d54269de7997fe98f2c1f834e3a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://img.xkw.com/dksih/QBM/2017/3/16/1645189786705920/1649143853350912/STEM/e696a4d56f15447abfdd64a13ce69c1f.png?resizew=168)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da035673ef0edcfae6b72fb5e5ba34a.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5089810cdc7a98dcada621845e8bb8e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840798a31aba0783f96584e0ad7c0d2e.png)
您最近一年使用:0次
6 . 在数列
中,设
,且
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60940bb0676c66a4e8cc033ddc5fc2fd.png)
,且
.
(1)设
,证明数列
为等差数列;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2a16f300269c09eceee54cbc4712f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60940bb0676c66a4e8cc033ddc5fc2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d307ec71820b6536453fbdb5069da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8182f57c43fd1d8fb13161224687c469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2017-03-22更新
|
1231次组卷
|
2卷引用:2017届吉林省长白山市高三第二次模拟考试数学(文)试卷
12-13高三·吉林白山·阶段练习
名校
解题方法
7 . 如图,在四棱锥
中,底面
为菱形,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/18372de2-0e3d-48eb-aa0d-8a0a259d2b85.png?resizew=170)
(1)若
,求证:平面
平面
;
(2)点
在线段
上,
,试确定
的值,使
平面
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a46dc0bb5d8fa33583817e530a5d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/18372de2-0e3d-48eb-aa0d-8a0a259d2b85.png?resizew=170)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845b8505cb7b7b8df5753f52a4e00462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49dc833a51302057b19db5f9b6e16f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ef4b918d022644e812c610a7308019.png)
您最近一年使用:0次
2016-12-02更新
|
1260次组卷
|
4卷引用:2014届吉林省白山市高三摸底考试理科数学试卷
(已下线)2014届吉林省白山市高三摸底考试理科数学试卷2018年春高考数学(文)二轮专题复习训练:专题三 立体几何2018年高考数学文科二轮专题闯关导练 :专题三河南省洛阳市栾川县第一高级中学2022-2023学年高一下学期4月月考数学试题
12-13高三·吉林白山·阶段练习
8 . 已知
,点
在函数
的图象上,其中![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/3c69f9238e4944bc8a627f8f77734fe5.png)
(1)证明:数列
是等比数列,并求数列
的通项公式;
(2)记
,求数列
的前
项和
.
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/35a6d492db124c80b5a82424ea45087c.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/d36b761e45334f66802dd7925cc778bb.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/5f4eab3b7d56469a9d5ec33ba90be3c2.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/3c69f9238e4944bc8a627f8f77734fe5.png)
(1)证明:数列
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/edf861419c83474db15ae00dfde7d9f4.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/2756e427b0e34d0ca5ba533c8db31812.png)
(2)记
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/59ebbb199c044fa796a20fa6e283a509.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/a80aa7f4bbb24c28a9f4ebd1e6247a86.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/49ce9278a9e5415e9a1f16abbd8c793a.png)
![](https://img.xkw.com/dksih/QBM/2013/9/10/1571349688819712/1571349694578688/STEM/7676479d1ddd47dc95cc4a1fcae6fc47.png)
您最近一年使用:0次
9 . 有以下三个不等式:
;
;
.
请你观察这三个不等式,猜想出一个一般性的结论,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4f2628282663f100283f782508d509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71aca4f6487cf9b5cddc172fa42e9c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4489e0dbe05d929c7cee605d5c490b.png)
请你观察这三个不等式,猜想出一个一般性的结论,并证明你的结论.
您最近一年使用:0次
2016-12-04更新
|
341次组卷
|
3卷引用:吉林省延边市长白山第一高级中学2019-2020学年高二下学期验收考试数学(文)试卷