名校
1 . 已知M是由满足下述条件的函数构成的集合:对任意
,①方程
有实数根;②函数
的导数
满足
.
(1)判断函数
是集合M中的元素,并说明理由;
(2)集合M中的元素
具有下面的性质:若
的定义域为D,则对于任意
,都存在
,使得等式
成立.试用这一性质证明:方程
有且只有一个实数根;
(3)对任意
,且
,求证:对于
定义域中任意的
,
,
,当
,且
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd689fbacfbe6c1bd0953521bbf3638b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4b85c070b9511e29c2677728f425c5.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1994b5f36e31a7d78bea39f6e71fcfc7.png)
(2)集合M中的元素
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5313c921defe84689aefde4773ad2b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26597a94b1f024b0f75bb1bd76ccc4bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d0efbfaf649d6ff75ad91f3a69b423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd689fbacfbe6c1bd0953521bbf3638b.png)
(3)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cac663990f61a4a3086c6bea3d51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b7e150af2052a1664cde963273d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42367830867a96861460aebfd53a0e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a385a2c08126b919ebf35e4121595842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc10d2a4a6a6d6cb8014cd7312f16053.png)
您最近一年使用:0次
2 . 数列
中,
,
(
为常数,
1,2,3,…),且
.
(1)求c的值;
(2)求证:①
;②
;
(3)比较
+
+…+
与![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894ef47a76331c0bf23391e719ad10a6.png)
的大小,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4040201a51683b26e158ea278bf0ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4cc00c283519973f7f8e1274b5c733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e50b3ac0bec9378d12d82a0b54e83f.png)
(1)求c的值;
(2)求证:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c610840fda4a40c864e19bc762b385fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162c0897cdfa67cac5b49becac685e75.png)
(3)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252de0a549286d1b1721ae96d5832654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03fee94205c63211128cbadfa17b810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7e761be88728b3db50c2abd4377c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894ef47a76331c0bf23391e719ad10a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
您最近一年使用:0次
3 . 如图1,已知菱形
的对角线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178a2a5f277bab230e7e65ee5b8b53a1.png)
交于点
,点
为
的中点.将三角形
沿线段
折起到三角形
的位置,如图2所示.
(1)求证:
平面
;
(2)证明:平面
平面
;
(3)在线段
上是否分别存在点
,使得平面
平面
?若存在,请指出点
的位置,并证明;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bfad3f7e65188bcf7f62ea5acdbf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178a2a5f277bab230e7e65ee5b8b53a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/31/0c8ed141-e18a-444a-84f5-bac476792bec.png?resizew=363)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149596fee6ed1e2d19fd8dadc14a8baf.png)
(2)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149596fee6ed1e2d19fd8dadc14a8baf.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1457d2e76a5b86de1abf121c51eb9d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bda8898cce4936691bb5ec6579c07c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbc9387f41c6f138c40de12588eb86d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
您最近一年使用:0次
2018-05-04更新
|
1673次组卷
|
5卷引用:【全国市级联考】北京市海淀区2018届高三第二学期期末练习(二模)数学(文)试题
【全国市级联考】北京市海淀区2018届高三第二学期期末练习(二模)数学(文)试题(已下线)2018年10月11日 《每日一题》一轮复习理数-空间线面位置关系(2)(已下线)2018年10月17日 《每日一题》一轮复习(文数)-空间线面位置关系(2)苏教版(2019) 必修第二册 过关斩将 第13章 13.2 综合拔高练(已下线)第18讲 基本图形位置关系
4 . 如果数列
,
,
,
(
,且
),满足:①
,
;②
,那么称数列
为“
”数列.
(1)已知数列
,
,
,
;数列
,
,
,
,
.试判断数列
,
是否为“
”数列.
(2)是否存在一个等差数列是“
”数列?请证明你的结论.
(3)如果数列
是“
”数列,求证:数列
中必定存在若干项之和为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140b9dbcada4ac2e5fe3cc30009bcd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573394d925f221e828978ba5b528dd39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527093b2ec760913d0dccff8a099248b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc27b9585a488e814695f51c47a2f32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc6d901b61ca0b350e3751486fbc9d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d590075ddd8450d14197ac5948df9de6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
(1)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c6c10b18ec2e35aae7caa645c44665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8d6252ef31c00ac52ca20605610367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/0047f659c182291c84c224df6b5e993f.png)
(2)是否存在一个等差数列是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
(3)如果数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
您最近一年使用:0次
名校
5 . 已知函数
.
(Ⅰ)求曲线
在点
处的切线方程;
(Ⅱ)求证:存在唯一的
,使得曲线
在点
处的切线的斜率为
;
(Ⅲ)比较
与
的大小,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f150d5ef78b3298229880b5e327685.png)
(Ⅰ)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(Ⅱ)求证:存在唯一的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0324fecb070287715e3e8f2322056922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0573a6bcc480a91a43126d01bc19eeae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd30bbe4130d3161d55011d4cf9a3d0.png)
(Ⅲ)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554231a67ae07a50e2510f42c3250136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b708034aa1e680d6b14ce2133650a85.png)
您最近一年使用:0次
2018-01-21更新
|
1255次组卷
|
10卷引用:北京市海淀区2023届高三数学查缺补漏题(2)
2014·北京石景山·一模
名校
解题方法
6 . 给定椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
,称圆心在原点
,半径为
的圆是椭圆
的“准圆”.若椭圆
的一个焦点为
,其短轴上的一个端点到
的距离为
.
的方程和其“准圆”方程;
(2)点
是椭圆
的“准圆”上的动点,过点
作椭圆的切线
交“准圆”于点
.
①当点
为“准圆”与
轴正半轴的交点时,求直线
的方程并证明
;
②求证:线段
的长为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da001dad7941e6c9858637d7b62cec59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c86bc114a286413e3933352392080a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
①当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
②求证:线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2016-12-02更新
|
1800次组卷
|
8卷引用:北京一零一中学2023届高三下学期开学考数学试题
北京一零一中学2023届高三下学期开学考数学试题(已下线)2014届北京市石景山区高三一模理科数学试卷(已下线)2014届甘肃省兰州一中高考模拟四理科数学试卷(已下线)2014届甘肃省兰州一中高考模拟四文科数学试卷2015-2016学年河北省石家庄一中高二下期中文科数学试卷河北省衡水中学2017届高三高考猜题卷(一)数学(理)试题山西省大同市第一中学2019-2020学年高三下学期模拟(六)数学(理)试题(已下线)微专题07 直线与圆锥曲线的相切问题
12-13高三·江西景德镇·阶段练习
7 . 如图,平面
平面
,
是等腰直角三角形,
,四边形
是直角梯形,
,
,
,
,
分别为
,
的中点.
(I)求证:
平面
.
(II)求直线
和平面
所成角的正弦值.
(III)能否在
上找一点
,使得
平面
?若能,请指出点
的位置,并加以证明;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31effd1d3f7ce1f6e57be80c7f3af4ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08313da7b66283d2e0b3987f3e6761f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3a079cfdcca9acdacecbf08f9f78cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd190c4ce3e95d46416c7e635b5a8e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22940cd2a129350c952ad7dc6db924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514ab3791431088948816c4ba7514c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(I)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d468887a6e318a953b9dcc93231db407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(II)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1220cf7442bc7658dbd74a845a62dfce.png)
(III)能否在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038b331d32c87fbd86c3accec0841fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3a079cfdcca9acdacecbf08f9f78cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2017/11/3/1809205128200192/1809771536965632/STEM/d1a673bf4913488d8148dd5a7282210c.png?resizew=173)
您最近一年使用:0次
名校
解题方法
8 . 数列
有
项,
,对任意
,存在
,若
与前
项中某一项相等,则称
具有性质
.
(1)若
,求
可能的值;
(2)若
不为等差数列,求证:
中存在满足性质
;
(3)若
中恰有三项具有性质
,这三项和为
,使用
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccf7e4dc2f2528b70a7b6920a0360de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c439f52fd3e4c4f6c9872041044d7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a45cd3046323db116ec970be533d2d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470a3b303d8e0a78a68dde895a46bb88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b07d62c4025696b4c648db0c3dd67bf.png)
您最近一年使用:0次
9 . 设正整数
,
,
,这里
. 若
,且
,则称
具有性质
.
(1)当
时,若
具有性质
,且
,
,
,令
,写出
的所有可能值;
(2)若
具有性质
:
①求证:
;
②求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c53838698bdce4bdfcddb756b60f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30f859c1ac6d40ecd3660efd6639b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0e3b00fe47801afb53ec56706c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef463abd621083c32b0a43fd95373ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14fb04e3704e9e0bc2a610815f29f09f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252bab154aa5bdc9b4bce4c0d43aaf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fa157b4f65f3a9aa1f7f82de02e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced4e381e8c3336848b8c436dbc584f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6831ec7292bd1e0fc7e21efb4d82357b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252bab154aa5bdc9b4bce4c0d43aaf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9171aebb446d064b05a8c9513b77713.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbb2d69dacbf149f01a3e98b33f8e01.png)
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10 . 已知函数
.
(1)若
,
①求曲线
在点
处的切线方程;
②求证:函数
恰有一个零点;
(2)若
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd82845718b6b9f744deea1d9779c81.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
①求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
②求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29268e34e4cafff25f64b398a635786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49a5dd2066c68b2fb5f16731013cfc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次