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1 . (1)当
时,不等式
恒成立,求实数
的取值范围;
(2)已知函数
,
,如果函数
有两个极值点
、
,求证:
.(参考数据:
,
,
,
为自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821c35265ccf376d0b84b2ac4400cd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19815447dbb65c5106ec6cd203e6b9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c978eee6f59dc2242d2e926fbbeabd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe87244d0d10df530e86eb77ea243ba8.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/ef22b99cc639ed44d2986493b9ffc807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c894b7d6baa55c80c64e74748dad898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07df412833b49d563d58219b70ede0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
您最近一年使用:0次
2020-01-28更新
|
581次组卷
|
3卷引用:重庆市沙坪坝区第一中学校2019-2020学年高二上学期期末数学试题
重庆市沙坪坝区第一中学校2019-2020学年高二上学期期末数学试题重庆市第一中学2019-2020学年高二上学期期末数学试题(已下线)第01章 导数(B卷提升篇)-2020-2021学年高二数学下学期同步单元AB卷(苏教版)
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2 . 在一个有穷数列的每相邻两项之间插入这两项的和,形成新的数列,我们把这样的操作称为该数列的一次“Z拓展”.如数列1,2第1次“Z拓展”后得到数列1,3,2,第2次“Z拓展”后得到数列1,4,3,5,2.设数列a,b,c经过第n次“Z拓展”后所得数列的项数记为Pn,所有项的和记为Sn.
(1)求P1,P2;
(2)若Pn≥2020,求n的最小值;
(3)是否存在实数a,b,c,使得数列{Sn}为等比数列?若存在,求a,b,c满足的条件;若不存在,说明理由.
(1)求P1,P2;
(2)若Pn≥2020,求n的最小值;
(3)是否存在实数a,b,c,使得数列{Sn}为等比数列?若存在,求a,b,c满足的条件;若不存在,说明理由.
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2020-05-11更新
|
486次组卷
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4卷引用:重庆市渝北区、合川区、江北区等七区2019-2020学年高二下学期期末联考数学试题
重庆市渝北区、合川区、江北区等七区2019-2020学年高二下学期期末联考数学试题2020届北京市房山区高三第一次模拟考试数学试题(已下线)专题21 数列的综合应用-2020年高考数学母题题源解密(北京专版)北京市育才学校2023-2024学年高三上学期期中测试数学试卷
3 . 已知△ABC中,
,
.
(1)若
,求BC边上的高AD所在直线方程的一般式;
(2)若点
为边
的中点,求BC边所在直线方程的一般式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ebd2da016e7029c4dd72b9e377190c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9087a172288f3e733a894e76ec160b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c0c66058dced5a4bf780ed01c1ee71.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fe3f68cbbcc907caab5083d08df301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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4 . 如图所示的五面体
中,平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
平面
,
,
,
∥
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/eed27dd5-5855-4aa4-ba45-fc2293db7059.png?resizew=160)
(Ⅰ)求证:
∥平面
;
(Ⅱ)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5427b7b994b860628df3d6b7a07de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d00572a90232e08932317af2a53767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e0b64d25ddd18454f88e40c45d7d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5441d73845911db1993bf903c4d8700f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/eed27dd5-5855-4aa4-ba45-fc2293db7059.png?resizew=160)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(Ⅱ)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5ba482836565abad208665cf7b9972.png)
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2019-07-18更新
|
781次组卷
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2卷引用:重庆一中2018-2019学年高二下学期期末数学(文科)试题
5 . 已知函数
,其中
,且曲线
在点
处的切线与直线
垂直,
(Ⅰ)求a的值;
(Ⅱ)求函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070e0f6ee7726d446d12c7d8756587c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfee70f595af11df06d9d666debd414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843b783e75e5fbc824e64f46c3f55e58.png)
(Ⅰ)求a的值;
(Ⅱ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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6 . 已知函数
在
处取得极值,
(1)求
的值及
的单调区间;
(2)若函数
在区间
上的最大值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c209996c5da55e4988da354c5239fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb37d173605f006df4c51ba63b1841d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75096deb06fa2aeaace0ec13f59c9ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-02-18更新
|
510次组卷
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3卷引用:重庆市七校2018-2019学年高二下学期期末联考(文科)数学试题
名校
7 . 已知点
到抛物线
准线的距离为2.
(Ⅰ)求
的方程及焦点
的坐标;
(Ⅱ)设点
关于原点
的对称点为点
,过点
作不经过点
的直线与
交于两点
,求直线
与
的斜率之积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(Ⅱ)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
您最近一年使用:0次
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8 . 已知
是函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd3c16b36ac31e235d6448f6ce6d053.png)
的一个极值点.
(1)求
的值;
(2)求函数
在
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd3c16b36ac31e235d6448f6ce6d053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f79b8690c922e042e422cda331fbdfc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb6f68c45727979cb6c5efc5a810340.png)
您最近一年使用:0次
2020-02-07更新
|
489次组卷
|
2卷引用:重庆市大足区2018-2019学年高二下学期期末数学(理)试题
9 . 如图,在四棱锥
中,四边形
为直角梯形,
,
,平面
平面
,
、
分别为
、
的中点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/be6aaf91-f84d-47c2-b849-26f3ee6e55c1.png?resizew=220)
(1)求证:
平面
;
(2)求三棱锥
的体积.
![](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/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ff6d7dd48b57f03d82d2c522ee9b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8254b52b379a420c17d38334940b073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5729dd997ea7e8cb4cef8b7165b36e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18120a244d3a1f9c1688bf53eb2ad775.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/be6aaf91-f84d-47c2-b849-26f3ee6e55c1.png?resizew=220)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c0f6b53de48e0f7a09419886276ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffb7a7a6d15786daa7fb370d80f0b54.png)
您最近一年使用:0次
2020-01-28更新
|
482次组卷
|
2卷引用:重庆市沙坪坝区第一中学校2019-2020学年高二上学期期末数学试题
10 . 已知
.
(1)求
和
的值;
(2)求式子
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4499a5ac5fa1bc18d44780cf90cb9a7f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)求式子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c56a438d16b7b4a3dca1ea571268040.png)
您最近一年使用:0次