名校
1 . 用数学归纳法证明“
”,验证n=1时,左边计算所得式子为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b119951b5bdf60990443291afe1b81.png)
A.1 | B.1+2 | C.![]() | D.![]() |
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2 . 如图,四棱锥
,侧面
是边长为
的正三角形,且与底面垂直,底面
是
的菱形,
为
的中点.
(1)求证:
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.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/051f092cbf89536d7e8b9fbf9d49355d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d85caf2bd9c6c66709d09df0ee0ac.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745df4f226027778d5fe45b6501b822.png)
![](https://img.xkw.com/dksih/QBM/2017/5/17/1689146393174016/1689201675509760/STEM/02c33f918e184aedb723f2984dd0e630.png?resizew=231)
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7卷引用:2017届宁夏中卫一中高三上周练一数学(文)试卷
名校
3 . 如图所示,在四棱锥
中,底面
为正方形,侧棱
⊥底面
,
,
分别为
上的动点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/cb9a937f-afe7-4e02-98ac-358a316b8b38.png?resizew=140)
(1)若
,求证:
∥
;
(2)求三棱锥
体积最大值.
![](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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b10835116b9b777a666b438c907b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871b96699f6280971e3dcdd47e2a944e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86595761472223bdc53a6034085de17.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/cb9a937f-afe7-4e02-98ac-358a316b8b38.png?resizew=140)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37911a93a9aa0caab96ce071afecd2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e587ce00944b52b2ada7f23f7f3e172.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c4b027766a6f6bc77c3faef3d5545b.png)
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2016-12-03更新
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5卷引用:2017届宁夏中卫市高三第二次模拟考试数学(文)试卷
2012·福建福州·一模
名校
4 . 如图,圆
与
轴相切于点
,与
轴正半轴相交于
两点(点
在点
的下方),且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/9f1e1599-2835-4ff8-ad46-aed81e934d71.png?resizew=167)
(1)求圆
的方程;
(2)过点
任作一条直线与椭圆
相交于两点
,连接
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6614916203fe0146d6797138da3db4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc5931d25e50c27e61e78347f9370e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/9f1e1599-2835-4ff8-ad46-aed81e934d71.png?resizew=167)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c763113a1fc48e8acc83787b8cd24eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729cf1d18cbb0ff509b51be7c445c34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5ce23462dfd28929430b74b9590940.png)
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21卷引用:2017届宁夏中卫市高三第二次模拟考试数学(文)试卷
2017届宁夏中卫市高三第二次模拟考试数学(文)试卷(已下线)2012届福建省福州市高三综合练习理科数学试卷(已下线)2012届福建省福州市高三综合练习文科数学试卷2015届陕西西北工业大学附中高三下学期四模考试理科数学试卷2015届陕西西北工业大学附中高三下学期四模考试文科数学试卷2016届山西省康杰中学等校高三上学期第二次联考文科数学试卷2016届江西省高安中学等九校高三下学期联考文科数学试卷2015-2016学年广东广州执信中学高二下期末文科数学试卷2017届甘肃高台县一中高三文上学期检测五数学试卷2017届甘肃省高台县第一中学高三上学期期末考试文数试卷2017届湖北省黄冈市高三3月份质量检测数学(文)试卷2017届湖北省黄冈市高三3月份质量检测数学(理)试卷甘肃省武威第二中学2018届高三上学期期末考试数学(文)试题【全国校级联考】峨眉山市第七教育发展联盟2018届高考适应性考试文科数学试题【校级联考】新余四中、上高二中2019届高三第一次联考数学(文)试题【市级联考】湖南省衡阳市2019届高三下学期第一次联考数学(文)试题【全国百强校】湖南省衡阳市第一中学2018-2019学年高二下学期第一次月考数学(文)试题上海市延安中学 2018-2019学年高二上学期期末数学试题2019届湖南省衡阳市高三第一次模拟文科数学试题河南省焦作市第一中学2022-2023学年高二下学期期中数学试题湖南省长沙市雅礼中学2024届高三下学期月考(七)数学试题
5 . 已知数列
是等差数列,
,数列
的前
项和是
,且
.
(1)求数列
的通项公式;
(2)求证:数列
是等比数列:写出
的通项公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b25fdcb138ff7837078301853c9ea92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf77dee513e951377b83b89cbc9f57e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
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名校
6 . 设椭圆
的左、右顶点分别为是
,点
在椭圆上且异于
两点,
为坐标原点.
(1)若直线
与
的斜率之积为
,求椭圆的离心率;
(2)若
,证明直线
的斜率
满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed6b9540857e386651e191a0a5b5a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fff3bf5eee9c5926053acb791f7567d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e27f0201421a54558699dd7bb01b68.png)
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|
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8卷引用:2017届宁夏中卫一中高三上周练一数学(文)试卷
2017届宁夏中卫一中高三上周练一数学(文)试卷2016-2017学年河南省濮阳市高二上学期期末考试数学(理)试卷2016-2017学年河南省濮阳市高二上学期期末考试(A卷))理数试卷2017届广西桂林市桂林中学高三2月月考数学(文)试卷黑龙江省大庆市铁人中学2020-2021学年高二上学期第一次月考数学试题(已下线)重难点08 直线与圆锥曲线(定点定值最值问题)-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)专题19 圆锥曲线 (练习)-2北京名校2023届高三二轮复习 专题五 解析几何 第3讲 直线与圆锥曲线的位置关系
7 . 用数学归纳法证明
过程中,由
递推到
时,不等式左边增加的项为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2ec2a772b572ceee686a21d41536ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c1770e1e193c9dd319f34999605733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4850bea4dbcac0fee2e8b5598b705679.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-04更新
|
359次组卷
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2卷引用:宁夏中宁县中宁中学2020-2021学年高二下学期第一次月考数学(理)试题(A卷)
12-13高一上·宁夏中卫·期末
解题方法
8 . 如图,正方体
的棱长是
.
![](https://img.xkw.com/dksih/QBM/2012/1/29/1570703396954112/1570703402336256/STEM/c2b348258aaa40d1852427e3e5d18bc7.png?resizew=205)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://img.xkw.com/dksih/QBM/2012/1/29/1570703396954112/1570703402336256/STEM/c2b348258aaa40d1852427e3e5d18bc7.png?resizew=205)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
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9-10高二下·福建宁德·期末
名校
9 . 设数列
的前
项和为
,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f65494ede0159b0b9bd56c03da6ebeb.png)
.
(1)求
,
,
,
的值并写出其通项公式;
(2)用三段论证明数列
是等比数列.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f65494ede0159b0b9bd56c03da6ebeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede6f4c2ce7e1d2706a7d8598182087d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)用三段论证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2016-11-30更新
|
599次组卷
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7卷引用:宁夏海原第一中学2020-2021学年高二下学期第二次月考数学(文)试题
宁夏海原第一中学2020-2021学年高二下学期第二次月考数学(文)试题(已下线)福建省古田五中09-10学年高二下学期期末数学理科考试试题(已下线)2013-2014学年重庆市合川太和中学高二下期期中考试文科数学试卷【全国百强校】宁夏育才中学学益校区2018-2019学年高二3月月考数学(文)试题甘肃省宁县第二中学2018-2019学年高二下学期期中考试数学(文)试题青海省海东市第二中学2018-2019学年高二下学期第一次月考数学(文)试题陕西省西安市高新第七高级中学2020-2021学年高二下学期期中文科数学试题
9-10高二下·湖南长沙·阶段练习
名校
10 . 如图,边长为2的正方形
中,
![](https://img.xkw.com/dksih/QBM/2013/8/5/1571312589316096/1571312595156992/STEM/941463db55b84b5686975e8282e28a41.png)
(1)点
是
的中点,点
是
的中点,将
分别沿
折起,使
两点重合于点
.求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97789a3d3fe4addd9993883f3fd236dd.png)
(2)当
时,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2013/8/5/1571312589316096/1571312595156992/STEM/941463db55b84b5686975e8282e28a41.png)
(1)点
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2013/8/5/1571312589316096/1571312595156992/STEM/04df2b26421d4330bf083f4ca390333e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c818110255bdad691f61be6461a6fd73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4167feb456b79187e3582a90bdc0ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97789a3d3fe4addd9993883f3fd236dd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c17cd29ed762fe6186073f762c9f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7c086de5c2691e9625ba9de4e8840a.png)
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2016-12-02更新
|
1640次组卷
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6卷引用:宁夏中卫市海原县第一中学2019-2020学年高一上学期期末数学试题
宁夏中卫市海原县第一中学2019-2020学年高一上学期期末数学试题(已下线)湖南省长沙市一中2009—2010学年高二下学期第一次学业水平考试数学试题(已下线)2012-2013学年黑龙江省哈九中高一下学期期末考试数学试卷湖南省长沙市长郡中学2018-2019学年高一下学期期末考试数学试题四川省双流中学2018-2019学年高二下学期期中考试数学(文)试题四川省内江市威远县威远中学校2022-2023学年高二上学期期中数学文科试题