名校
1 . 在数列
中,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18671559f16e3251076f766f9332e9f5.png)
.
(1)求
,
,
的值;
(2)猜想数列
的通项公式的表达式,并用数学归纳法证明你的猜想.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18671559f16e3251076f766f9332e9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084efdbc812f78e80d043e9531b9bce6.png)
(1)求
![](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)猜想数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
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2020-02-07更新
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4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
2 . 设
的内角
所对应的边长分别是
,且
.
(Ⅰ)当
时,求
的值;
(Ⅱ)当
的面积为
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/f0e8b8e3352563854e43cedc0a5bf2b0.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b86d43790babcdbbdc03493ee70928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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2018-11-15更新
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979次组卷
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4卷引用:重庆市大足区2018-2019学年高一下学期期末数学试题
名校
解题方法
3 . 如图,已知椭圆C:
的左、右焦点分别是
、
,上顶点为A,左顶点为B,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/9cd643c2-f187-494d-b2e7-168ea3d34986.png?resizew=203)
(Ⅰ)求椭圆C的离心率;
(Ⅱ)设点
是椭圆C上任意一点,且
,在直线
上是否存在点Q,使以
为直径的圆经过坐标原点O,若存在,求出线段
的长的最小值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0348e8cdd04a08e36cf940aa4bbd95b5.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/2c9cea81161769250549779d9df70015.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/9cd643c2-f187-494d-b2e7-168ea3d34986.png?resizew=203)
(Ⅰ)求椭圆C的离心率;
(Ⅱ)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f595683f69d5d6b5ca76408b0ff6ff17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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2020-02-08更新
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2卷引用:重庆市大足区2018-2019学年高二上学期期末数学(理)试题
4 . 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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名校
5 . 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)
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2020-02-07更新
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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
6 . 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)
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名校
7 . 已知函数f(x)=x2+mx+n(m,n∈R)满足f(0)=f(1),且方程x=f(x)有两个相等的实数根.
(1)求函数f(x)的解析式;
(2)当x∈[0,3]时,求函数f(x)的值域.
(1)求函数f(x)的解析式;
(2)当x∈[0,3]时,求函数f(x)的值域.
您最近一年使用:0次
2018-07-05更新
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923次组卷
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4卷引用:重庆市大足区2018-2019学年高二下学期期末数学(文)试题
重庆市大足区2018-2019学年高二下学期期末数学(文)试题江西省江西师范大学附属中学2017~2018学年下学期高二期中考试数学试题(文)(已下线)专题2.1 函数的概念及其表示-2021年高考数学(理)一轮复习-题型全归纳与高效训练突破(已下线)FHsx1225yl175
名校
8 . 已知函数
(
)是奇函数.
(1)求实数
的值;
(2)用函数单调性的定义证明函数
在
上是增函数;
(3)对任意的
,若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7047eadf8cf5cc315281adbf7e26a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)用函数单调性的定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac98c4a3017e283c9075cd21453a3c5.png)
(3)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6bb0adade7f1394f06956ba636587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-02-08更新
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2卷引用:重庆市大足区2018-2019学年高二下学期期末数学(文)试题
9 . 已知圆心为
的圆C经过点
.
(Ⅰ)求圆C的标准方程;
(Ⅱ)若直线
与圆C交于A,B两点,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011b7f62f2f0b0973a8bdcdfffd1d0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c578fde8eea8b7e928157fa454064a73.png)
(Ⅰ)求圆C的标准方程;
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e508910a802bc5fdefd8e86721f30ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0907a673d52825cd7df84b400972d4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2020-02-08更新
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5卷引用:重庆市大足区2018-2019学年高二上学期期末数学(理)试题
10 . 已知直线
的斜率为
,且在y轴上的截距为
.
(Ⅰ)求直线
的方程,并把它化成一般式;
(Ⅱ)若直线
:
与直线
平行,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(Ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322796f8098393a2fb93753c1d2d026a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3卷引用:重庆市大足区2018-2019学年高二上学期期末数学(文)试题
重庆市大足区2018-2019学年高二上学期期末数学(文)试题(已下线)3.2.1 直线的点斜式方程-2020-2021学年高一数学课时同步练(人教A版必修2)广东省潮州市湘桥区南春中学2021-2022学年高二上学期第一次月考数学试题