名校
解题方法
1 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e05177e08e32fe665e243659a442802.png)
(1)解不等式
.
(2)若关于x的不等式
在R上恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e05177e08e32fe665e243659a442802.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b3e2644dc114659f9d1565e24aea82.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9644ffcb53770c950e6e9720c7dbca4.png)
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2020-02-09更新
|
121次组卷
|
2卷引用:重庆市巴蜀中学2018-2019学年高二下学期期末考试数学(文)试题
2 . 如图,已知椭圆
的离心率为
,
、
分别是椭圆的左、右焦点,点
是椭圆上任意一点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/e177192c-9989-41a3-be23-29ba79a33af1.png?resizew=207)
(Ⅰ)求椭圆的标准方程;
(Ⅱ)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/8d5989c84e320b504511f23eeb6e7357.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f595683f69d5d6b5ca76408b0ff6ff17.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/e177192c-9989-41a3-be23-29ba79a33af1.png?resizew=207)
(Ⅰ)求椭圆的标准方程;
(Ⅱ)在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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3 . 如图,在四棱锥P﹣ABCD中,侧面PAD⊥底面ABCD,∠PAD=90°,CD∥AB,∠BAD=90°,且AB=3CD=3PA
AD=3.
![](https://img.xkw.com/dksih/QBM/2020/1/12/2375554305179648/2394049137065984/STEM/d79ce16625964984a65f827fc66a1679.png?resizew=256)
(1)求证:BD⊥PC;
(2)求点A到平面PCD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33540ce9e06ae2676c18c3e57eb5ef8c.png)
![](https://img.xkw.com/dksih/QBM/2020/1/12/2375554305179648/2394049137065984/STEM/d79ce16625964984a65f827fc66a1679.png?resizew=256)
(1)求证:BD⊥PC;
(2)求点A到平面PCD的距离.
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4 . 已知函数f(x)=|x﹣a|+|x+1|(a∈R),g(x)=|2x﹣1|+2.
(1)若a=1,证明:不等式f(x)≤g(x)对任意的x∈R成立;
(2)若对任意的m∈R,都有t∈R,使得f(m)=g(t)成立,求实数a的取值范围.
(1)若a=1,证明:不等式f(x)≤g(x)对任意的x∈R成立;
(2)若对任意的m∈R,都有t∈R,使得f(m)=g(t)成立,求实数a的取值范围.
您最近一年使用:0次
2020-02-07更新
|
100次组卷
|
2卷引用:2019届重庆市巴南区高三上学期期末测试卷理科数学
5 . 如图,在三棱柱
中,
,
,
,D是棱BC的中点,E是侧面四边形
的对角线
的中点.
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343720216010752/2394508680888320/STEM/f194f152b5d74224b8cbd6e6071f545c.png?resizew=144)
(Ⅰ)求证:
平面
;
(Ⅱ)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22baaea72c9286f1d8d7b99c37755678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0a886f1192d450ced9fd875e78425e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fe926770d2354e172dec02f5ce2efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343720216010752/2394508680888320/STEM/f194f152b5d74224b8cbd6e6071f545c.png?resizew=144)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
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解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69eacc2d165bb8fb9cbe4a56eb77cd14.png)
(1)当
时,求
的解集;
(2)若任意的
,都有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69eacc2d165bb8fb9cbe4a56eb77cd14.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74dbd58b21a94cf93f4623c07452b102.png)
(2)若任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f795728dd705471a0ccc2886f34e6c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 在某地区2008年至2014年中,每年的居民人均纯收入y(单位:千元)的数据如下表:
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343719522074624/2394120620236800/STEM/976e6ee1f746462bb1506195af9a6010.png?resizew=477)
对变量t与y进行相关性检验,得知t与y之间具有线性相关关系.
(1)求y关于t的线性回归方程;
(2)预测该地区2016年的居民人均纯收入.
附:回归直线的斜率和截距的最小二乘估计公式分别为:
,
![](https://img.xkw.com/dksih/QBM/2019/11/28/2343719522074624/2394120620236800/STEM/976e6ee1f746462bb1506195af9a6010.png?resizew=477)
对变量t与y进行相关性检验,得知t与y之间具有线性相关关系.
(1)求y关于t的线性回归方程;
(2)预测该地区2016年的居民人均纯收入.
附:回归直线的斜率和截距的最小二乘估计公式分别为:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8d7dd7b12b8abc80e0114dbeab8b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa16fa102e7d1186183a93447575199.png)
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9-10高二下·重庆·期末
8 . 在正方体
中,
(1)找出平面
的斜线
在平面
内的射影;
(2)直线
和直线
的位置关系如何?
(3)直线
和直线
所成的角是多少度?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
(1)找出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/a2f884fa-7af3-4441-bba0-840dc18f2313.png?resizew=160)
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