1 . 已知
,
.
(1)求
和
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9330f5a1902fe99fc5edd744fbe9146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcbe8b4bcd32e5a64ebfd873f8cbb2b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e279db1a3ff1d610d7acd95de7cc2f99.png)
您最近一年使用:0次
解题方法
2 . 设甲、乙、丙三个乒乓球协会的分别选派3,1,2名运动员参加某次比赛,甲协会运动员编号分别为
,
,
,乙协会编号为
,丙协会编号分别为
,
,若从这6名运动员中随机抽取2名参加双打比赛.
(1)写出这个试验的样本空间及样本点总数;
(2)求丙协会至少有一名运动员参加双打比赛的概率;
(3)求参加双打比赛的两名运动员来自同一协会的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5002f030017f6f0b34a61b2e15c5a9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f762938f5c78eb72bafbb13bf85cba1.png)
(1)写出这个试验的样本空间及样本点总数;
(2)求丙协会至少有一名运动员参加双打比赛的概率;
(3)求参加双打比赛的两名运动员来自同一协会的概率.
您最近一年使用:0次
3 . 在三棱柱
中,
底面
,点
分别是
的中点,且
.
平面
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8bfe2553e852df73185d017c0a62fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695b0b58e60dd3d2da6388848d373a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf12afb5ba6ced5fb5aaaddcb4bd9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b9a3f868837555eb40234b3375f4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9961e091f180e964a962adf6916f33c8.png)
您最近一年使用:0次
2023-06-20更新
|
602次组卷
|
4卷引用:2024届天津市河东区普高高中学业水平合格性考试模拟预测数学试题
2024届天津市河东区普高高中学业水平合格性考试模拟预测数学试题(已下线)模块四 专题1 重组综合练(江苏)江苏省常州市联盟学校2022-2023学年高一下学期5月学情调研数学试题(已下线)专题训练:线线、线面、面面平行与垂直证明大题-同步题型分类归纳讲与练(人教A版2019必修第二册)
4 . 已知函数
,其中
.
(1)若
,求
的值;
(2)当
时,
(i)根据定义证明函数
在区间
上单调递增;
(ii)记函数
,若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a6dd8adbd012e53a6a0dcf700a3696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b1ec158439b8c797514d254b7944c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
(i)根据定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
(ii)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75317d3103b38929dd80b11d71cd16b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ceab8557090b27ebd974d579723594b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解题方法
5 . 已知函数
,
.
(1)当
,求a;
(2)当
在
上单调递增,问a的取值范围;
(3)设
为
和
中的较小者,证明
在
上的最大值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ede4a660ea4ec1bac8834a388f54a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27fd67d7f50b6d6d6f8cf4cc58b3e55b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
您最近一年使用:0次
解题方法
6 . 如图,正方体
中,
、
分别是
、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/29/65bf0f50-1254-40f1-b4bf-9a19187d295d.png?resizew=213)
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/29/65bf0f50-1254-40f1-b4bf-9a19187d295d.png?resizew=213)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49644c4cdd8a0e9bb6241c625c4ae21e.png)
您最近一年使用:0次
2022-06-23更新
|
615次组卷
|
2卷引用:2022年天津市红桥区高中学业水平模拟测试数学试题
7 . 已知函数
,其中
,
.
(1)若
,求实数
的值;
(2)若
时,求不等式
的解集;
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a99ea1389ad76d226764770582a6df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431537df789febf4bc45e3dc23cefaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
您最近一年使用:0次
8 . 已知函数
为
上的偶函数,当
时,
.
(1)求
的解析式;
(2)求
在
的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b767c33d36acbb9b5110ad0652237652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe1b2817c2fd871797c9f9e5bf20cdc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629dd42bcb8892c7a73f0d98967dd578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5dc99a0493caf8b65827518c965e8a.png)
您最近一年使用:0次
2022-01-18更新
|
1475次组卷
|
6卷引用:2023年天津市河北区普通高中学业水平合格性考试模拟数学试题
2023年天津市河北区普通高中学业水平合格性考试模拟数学试题天津市和平区2021-2022学年高一上学期期末质量调查数学试题 2023版 湘教版(2019) 必修第一册 突围者 第3章 全章综合检测2023版 北师大版(2019) 必修第一册 突围者 第二章 全章综合检测(已下线)专题3.6 函数的概念与性质(能力提升卷)-2022-2023学年高一数学必考点分类集训系列(人教A版2019必修第一册)第二章 函数章末综合检测卷-2022-2023学年高一上学期数学北师大版(2019)必修第一册
解题方法
9 . 直线l:
+3y+1=0与圆C:
相交于A、B两点.
(1)求圆C的圆心坐标和半径长;
(2)求弦AB的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6ecf8d2e9c24948d352077eda70568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30093078a92ef2c2d79ab24d82b7b013.png)
(1)求圆C的圆心坐标和半径长;
(2)求弦AB的长.
您最近一年使用:0次
10 . 已知函数
,其中
.
(1)若
的图象关于直线
对称时,求
的值;
(2)当
时,解关于
的不等式
;
(3)当
时,令
,若
,且
,函数
在
上有最大值9,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecc8e338bccf67a1625e7e77fd7c4bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90e1dc4714287648d0bebcac913ded7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2401f1358466ad761052b98564ae5873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c525393775354325cbf7839366ca50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a18156f5634aba44eb804772c2dea89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d43eb5d13c51115c0ca3087bb0b50a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次