名校
解题方法
1 . 已知一个等比数列的前
项和、前
项和、前
项和分别为
、
、
,则下列等式正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f41be870e84c819362787849770519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-03-10更新
|
1134次组卷
|
6卷引用:浙江省宁波市北仑中学2023-2024学年高二上学期期初考试数学试题
浙江省宁波市北仑中学2023-2024学年高二上学期期初考试数学试题江苏省无锡市江阴市普通高中2022-2023学年高三上学期期末数学试题(已下线)“8+4+4”小题强化训练(15)(已下线)专题7 等比数列的性质 微点2 等比数列前n项和的性质(已下线)FHsx1225yl154辽宁省沈阳市东北育才学校科学高中部2023-2024学年高二下学期期中考试数学试题
名校
2 . 已知函数
.
(Ⅰ)讨论函数
极值点的个数;
(Ⅱ)若
,且对任意正数
都有
成立,求实数
的取值范围.(
为自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd953437aa07828e999882c11069b6e6.png)
(Ⅰ)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b075157f85910dc164d7317fca4a0b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
您最近一年使用:0次
2021-08-07更新
|
706次组卷
|
3卷引用:浙江省宁波市九校2020-2021学年高二下学期期末联考数学试题
浙江省宁波市九校2020-2021学年高二下学期期末联考数学试题(已下线)专题01 《导数及其应用》中的典型题-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) 福建省尤溪第一中学2021~2022学年高二下学期数学期末模拟卷(三)试题
名校
解题方法
3 . 已知实数
,设函数
.
(1)当
,
时,证明:
;
(2)若
有两个极值点
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f217932b859caf22eecf367b695b612a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a09145206ea1060dbba927a9d12569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ddeb2867672d1bf7536ca859d21537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1103c8bd6709cbe93944f0f527563264.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478f44029d1397c41927f14cc72d61e1.png)
您最近一年使用:0次
名校
解题方法
4 . 已知数列
,
满足
,
,且对任意
,有
,
.
(1)求数列
,
的通项公式;
(2)求数列
的前
项和
;
(3)若数列
满足
,试求
的通项公式并判断:是否存在正整数
,使得对任意
,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97cd6f88927d3deb6623236e1e7800a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04c7ba0ffd54e60b2829f4440c91ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47502da290030106eb457bdd112509df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8df841d864c64ed4ef8563db38b90a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ad6f9e6a611376e06007d2f2b91638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f751d83b6e866bf806cea9e87a054b.png)
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5 . 设定点
,动圆
过点
且与直线
相切.
(1)求动圆圆心
的轨迹
的方程;
(2)过点
作两条斜率存在且互相垂直的直线
,设
与轨迹
相交于点
,
与轨迹
相交于点
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
(1)求动圆圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9255304b43922639704050a15c940fae.png)
您最近一年使用:0次
2020-04-13更新
|
365次组卷
|
2卷引用:浙江省宁波市奉化区2019-2020学年高二下学期期末数学试题
6 . 如图,在
中,
,
,点E为线段AB上一点,将
绕DE翻折.若在翻折过程中存在某个位置,使得
,记
为
的最小值,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/ca20c5ed-e6ae-42d1-9139-b0f6bcc05cbe.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd3dbf4fae1591e22cd6a9dc89dbca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2d61b066d1d0cde10b0f70781b6a24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4611ceb2a28f7a7e4d24266d7f99b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc2d2dd56fcc67698c45a6e0e48f80.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/ca20c5ed-e6ae-42d1-9139-b0f6bcc05cbe.png?resizew=142)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-04-20更新
|
878次组卷
|
4卷引用:浙江省宁波市宁海中学创新班2021届高三下学期2月测试数学试题
浙江省宁波市宁海中学创新班2021届高三下学期2月测试数学试题浙江省知行联盟2018-2019学年高三下学期5月联考数学试题(已下线)11.2 锥体(第1课时)(七大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020必修第三册)(已下线)第三章 折叠、旋转与展开 专题一 平面图形的翻折、旋转 微点5 翻折、旋转问题中的最值(二)
名校
解题方法
7 . 已知函数
,集合
.
(1)若集合
中有且仅有
个整数,求实数
的取值范围;
(2)集合
,若存在实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a278f183076c660212611979b7d95058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b186b10ffbdb7ffc0efb1d002b1310ce.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09e0f873c8dcd4d00b5fd783ee259ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,记
,
.
(1)若
,
,求集合
、
;
(2)若集合
,
,且
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369c33768fd972b3ebada251ca00a37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30bf91f31613ce80bba22a49862db03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d1d63c6029951283ebd48a4e67e67b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e373e8dbc56e341e997a918d16ea077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d5a1191a3db3ed0d9cfceefc6c5505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2d238c3d566f4412c4e5cef33a3366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
您最近一年使用:0次
名校
解题方法
9 . 已知平面向量
、
、
,且
,
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd18461fd9d77e6fa46a654f0ab540f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6919ac6daefbc13752fdbb13e367b032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3505e13940f0d7649fb05b0abb37ef12.png)
您最近一年使用:0次
名校
解题方法
10 . 如图所示,椭圆C:
(
)的离心率为
,左、右焦点分别为
,
,椭圆C过点
,T为直线
上的动点,过点T作椭圆C的切线
,
,A,B为切点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/b259b7b4-9d6a-40c3-83d4-d0c61b611f8a.png?resizew=184)
(1)求证:A,
,B三点共线;
(2)过点
作一条直线与曲线C交于P,Q两点.过P,Q作直线
的垂线,垂足依次为M,N.求证:直线
与
交于定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310f780f4f03699023b1322a1e002539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98c4b3f3fe826e124ca7d199d4ca4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817a419430d9951cbdb89b657b21bcf0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/b259b7b4-9d6a-40c3-83d4-d0c61b611f8a.png?resizew=184)
(1)求证:A,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
您最近一年使用:0次