名校
解题方法
1 . 若函数
在
上不单调,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3587b4d91fe29a93922d995b19b7cf02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4卷引用:江西省南昌市第十九中学2023-2024学年高二下学期5月期中考试数学试题
江西省南昌市第十九中学2023-2024学年高二下学期5月期中考试数学试题(已下线)专题08 导数的运算、几何意义及极值最值常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)山东省泰安市新泰市第一中学东校2023-2024学年高二下学期第二次质量检测数学试题(已下线)核心考点2 导数几何意义和函数的单调性、极值 专题讲解 A基础卷 (高二期末考试必考的10大核心考点)
名校
2 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a45190981deec3afa7fa82e93f8004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
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3 . 已知数列
的通项公式为
,在
与
中插入
个数,使这
个数组成一个公差为
的等差数列,记数列
的前
项和为
,
(1)求
的通项公式及
;
(2)设
,
为数列
的前
项和,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a2150c288b258addb66ae22ae818de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9acc937f669c8c7378303432f76aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e260b088f071983f254ce8f5163fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6469fad168bbcdf117f29fdbe26c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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3卷引用:江西省南昌市第十九中学2023-2024学年高二下学期5月期中考试数学试题
江西省南昌市第十九中学2023-2024学年高二下学期5月期中考试数学试题湖北省武汉市第十一中学2023-2024学年高二下学期6月考数学试题(已下线)专题07 数列通项公式与数列求和--高二期末考点大串讲(人教B版2019选择性必修第三册)
名校
解题方法
4 . 设
,
,
是互不重合的平面,
,
是互不重合的直线,给出四个命题:
①若
,
,则
②若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
③若
,
,则
④若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4042f9c51f83e3367d496e851735d7f9.png)
其中正确命题的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4042f9c51f83e3367d496e851735d7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79018590293277ff2d76452a50ad2dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008241f4c7f47526109c74c92ed21fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88182084a712c7f0a34540b16b95c477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4042f9c51f83e3367d496e851735d7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59b1a01a6da42ff2a41e5b91ea301ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79018590293277ff2d76452a50ad2dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4042f9c51f83e3367d496e851735d7f9.png)
其中正确命题的个数是( )
A.1 | B.2 | C.3 | D.4 |
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7卷引用:江西省九江第一中学2023-2024学年高二上学期期中考试数学试卷
江西省九江第一中学2023-2024学年高二上学期期中考试数学试卷江西省宜春市丰城市第九中学2023-2024学年高一上学期第三次月考数学试题上海市晋元高级中学2023-2024学年高二上学期10月月考数学试题(已下线)专题15 立体几何中点线面的位置关系【练】(已下线)第一篇“必拿”选择前5填空前2 专题15 立体几何中点线面的位置关系【练】河北省邢台市第一中学2023-2024学年高一下学期第三次月考(5月月考)数学试题(已下线)第1套 复盘提升卷 (基础)【高一期末复习全真模拟】
名校
解题方法
5 . 帕德近似是法国数学家亨利
帕德发明的用有理多项式近似特定函数的方法.给定两个正整数
,
,函数
在
处的
阶帕德近似定义为:
,且满足:
,
,
,
,
,注:
,
,
,
,
已知函数
.
(1)求函数
在
处的
阶帕德近似
.
(2)在(1)的条件下: ①求证:
;
②若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16563cfb206d0394cac2a0c2595dda6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcb8c6a69df1a0deaba265e204d5f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047a8c1ed551fccee1c1848746c5f282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72029562177dfc99a171c9013eb90227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee7bb49247387a9028602315729f8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4573475f70860a3d99b92a329d0d07f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca214aa6276b96d67a451c3fdbc59b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6793bfd7fc5f7342525b5352637617f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bcabe57d8f4dc95aac87283afcaafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa160e70abb25d476bbd7d720815f4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee7bb49247387a9028602315729f8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35dd621776dee688a0175a1abe39c258.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35dd621776dee688a0175a1abe39c258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40765d09390381658d5b4dc0160366cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
(2)在(1)的条件下: ①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec667cb20a6d670c47adfca4e4f5dd5.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad7d4b49b53e6d1aae16e515cf0975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
6 . 已知函数
,
.
(1)当
时,求
在
处的切线方程;
(2)求
的单调区间:
(3)若
,
,使得
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d4ffe83140243af103c4d806e3ed1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ef7094c6c60a57532334ee3e8b4afe.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da60d3fead7b237c07e817a3801cafe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41f25aab93b2ceb283fca684e9b8d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8c626afbc95213849e8f122d9b1a13.png)
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7 . 已知T是
上的动点(A点是圆心),定点
,线段TB的中垂线交直线TA于点P.
(1)求P点轨迹
的方程;
(2)已知直线
的方程
,过点B的直线(不与
轴重合)与曲线
相交于M,N两点,过点M作
,垂足为 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7170bb4a2ddcef39391a06c989162.png)
①求证:直线ND过定点
,并求出定点
的坐标;
②点
为坐标原点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df85fc4021b64f29b42c4b47419cfca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b47e7bf02b3ca16f7d96b9369e51a3.png)
(1)求P点轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41b099305c768388cfae01e18efcab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e7170bb4a2ddcef39391a06c989162.png)
①求证:直线ND过定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805cbc88d32a8b72bbfe9cf3e41dee77.png)
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名校
解题方法
8 . 如图,在正四棱锥
中,
分别是
的中点,当点
在线段
上运动时,下列四个结论:
;②
;③
平面
;④
平面
.
其中恒成立的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77e5821b24a76c71fdc2cf59fbba308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2da7e82d92b75660d271586a57e931f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc8ccede05f9270d0f04a9545636790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1aba56e04a373cefa813b31a3d99f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3834a4bb20d2b065695dbf53091b065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5000fea066102e62cf2128ccbbd2b3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4862958e60c245dc9a5d9cb57d31eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
其中恒成立的为( )
A.①③ | B.③④ | C.①② | D.②③④ |
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2024-05-12更新
|
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29卷引用:【校级联考】江西省南昌八中、二十三中、十三中2018-2019学年高二下学期期中考试数学文科试题
【校级联考】江西省南昌八中、二十三中、十三中2018-2019学年高二下学期期中考试数学文科试题江西省南康中学、于都中学2017-2018学年高二上学期第四次联考数学(理)试题浙江省宁波市六校联考2019-2020学年上学期高二期中数学试题江西省部分学校2022-2023学年高三上学期11月质量检测巩固卷理科数学试题黑龙江省鹤岗市第一中学2016-2017学年高一下学期期末考试数学(文)试题黑龙江省鹤岗市第一中学2016-2017学年高一下学期期末考试数学(理)试题湖南省株洲市醴陵第二中学、醴陵第四中学2018届高三上学期两校期中联考数学(理)试题宁夏育才中学2018届高三第四次月考数学(理)试题(已下线)7-4 直线、平面平行的判定及其性质(高效训练)-2019版导学教程一轮复习数学(人教版)人教A版 全能练习 必修2 第二章+本章能力测评(二)2017届四川省成都市石室中学高三二诊模拟考试数学(理)试卷2017届四川省成都市石室中学高三二诊模拟考试数学(文)试卷甘肃省兰州大学附中2017-2018学年高一上学期期末数学试题人教A版(2019) 必修第二册 突围者 第八章 综合拓展提升云南省昭通市昭阳区建飞中学2018-2019学年高二下学期期末数学(文)试题河北省石家庄市第二中学2020届高三下学期3月内部考试数学(文)试题河北省石家庄二中2020届高三(3月份)高考数学(文科)热身试题2020届河北省衡水市枣强中学高三下学期3月模拟2数学(文)试题四川省内江市第六中学2020-2021学年高三上学期第三次月考数学(文)试题(已下线)第33练 立体几何的综合-2021年高考数学(文)一轮复习小题必刷安徽省安庆市桐城市第八中学2020-2021学年高二上学期期初检测数学试题人教A版(2019) 必修第二册 实战演练 第八章 验收检测(已下线)第8章 立体几何初步(单元基础卷)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)广东省深圳市第二十二高级中学(中科附高)2023-2024学年高二上学期开学考试数学试题(已下线)第八章 本章综合--方法提升应用【第三练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)6.5.1直线与平面垂直-【帮课堂】(北师大版2019必修第二册)(已下线)第六章 立体几何初步(单元测试,新题型)-同步精品课堂(北师大版2019必修第二册)(已下线)核心考点8 立体几何中综合问题 B提升卷 (高一期末考试必考的10大核心考点) (已下线)高一数学期末模拟试卷02-《期末真题分类汇编》(北师大版(2019))
9 . 已知数列
满足
,
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bbb67593c95bab93ff67145ae95ea3.png)
(1)求证:数列
是等比数列;
(2)求数列
的通项公式;
(3)已知
对于
恒成立.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed4652071a68a7ab141aef31f167bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bbb67593c95bab93ff67145ae95ea3.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ddd5f5f216d617363dc388a4fba678.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2e46e0bdb59d46057c66db27e70459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02efa6f1dc514a278597ed9ccfe42127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fcb710bdd29fb50238419de2faf104.png)
您最近一年使用:0次
名校
解题方法
10 . 在
中,角
的对边分别为
,且
.
(1)求角
的大小;
(2)若
的面积
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a3ea9fb31d1aacecec6926e13dc3fc.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcb73a2dc40069c748730f6bac9031e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-05-04更新
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865次组卷
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4卷引用:江西省南昌市第十九中学2023-2024学年高一下学期5月期中考试数学试题
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