解题方法
1 . 下列结论中是正确的有( )
A.函数![]() ![]() |
B.若![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-01-29更新
|
158次组卷
|
2卷引用:湖南省湘西州2021-2022学年高一上学期期末数学试题
2 . 矮寨大桥飞越在湘西德夯峡谷之巅,是世界跨峡谷跨径最大的钢桁梁悬牵索桥,是连接湘渝的重要交通设施、更是湘西的标志性景点.大桥跨径1176米,桥面距离谷底355米,2012年3月建成通车.为了解矮寨大桥所在地的实际通行所需时间,随机抽取了n台车辆进行统计,结果显示这些车辆的通行时间(单位:分钟)都在
内,按通行时间分为
,
,
,
,
五组,其中通行时间在
的车辆有315台,频率分布直方图如图所示.
![](https://img.xkw.com/dksih/QBM/2021/7/12/2762788838694912/2776622251311104/STEM/a75b9b530ba94102952e222201d95617.png?resizew=309)
(1)求实数m、n的值,并估计样本数据的平均数;
(2)为了进一步了解车辆的通行状况,按第一组和第五组进行分层,用分层随机抽样的方法从中抽取5辆汽车,再从这5辆汽车中随机抽取2辆汽车(司机)进行问卷调查,求抽取的这2辆汽车(司机)恰好来自同一组的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2283bd5a55da15639b6f025a77a6e125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4d58da9aabafd5c26dd1eee2e456ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52cf0a0f8e588220ecbe1c6229f25455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9f50e59337bc561a37b4596309618c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6f70767485a5c71eb4584005843db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f38a7696b7c0776323a92bb7650f8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe9e5f26e0d8fde68bf92458988d9ef.png)
![](https://img.xkw.com/dksih/QBM/2021/7/12/2762788838694912/2776622251311104/STEM/a75b9b530ba94102952e222201d95617.png?resizew=309)
(1)求实数m、n的值,并估计样本数据的平均数;
(2)为了进一步了解车辆的通行状况,按第一组和第五组进行分层,用分层随机抽样的方法从中抽取5辆汽车,再从这5辆汽车中随机抽取2辆汽车(司机)进行问卷调查,求抽取的这2辆汽车(司机)恰好来自同一组的概率.
您最近一年使用:0次
名校
解题方法
3 . 在直三棱柱
中,
是
中点.
,
,
,
.则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/ee611973-4129-49e3-a3d5-6b04b85ca6f1.png?resizew=127)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d0fdc5a00ca0e857b89a7e1420df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e60250139e00fae15208a3e0311ce0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/ee611973-4129-49e3-a3d5-6b04b85ca6f1.png?resizew=127)
A.点![]() ![]() ![]() |
B.异面直线![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.过![]() ![]() ![]() |
您最近一年使用:0次
2021-08-01更新
|
331次组卷
|
2卷引用:湖南省湘西自治州2020-2021学年高一下学期期末数学试题
名校
4 . 从1,2,3,4中取随机选出一个数字,记事件
“取出的数字是1或2”,
“取出的数字是1或3”,
“取出的数字是1或4”,命题“①
与
相互独立;②
与
相互独立;③
与
相互独立中真命题”的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3976c7e32ac59a7a45d0db3c8ab05b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b99048a1a4ccd7dd25e2d4212da5554d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d7b114ee11a51d3ddce0dda6a961c3.png)
![](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/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
A.1 | B.2 | C.3 | D.0 |
您最近一年使用:0次
2021-08-01更新
|
109次组卷
|
3卷引用:湖南省湘西自治州2020-2021学年高一下学期期末数学试题
5 . 下述四个结论
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a455965bf97adf239db6da9cdb17e0ea.png)
②已知扇形的半径
,圆心角30°,则扇形的弧长是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26390a4c601ab474be46341e5f72a526.png)
③函数
是单调递增函数
④化简
得到的结果是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
其中所有正确结论的编号是( )
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a455965bf97adf239db6da9cdb17e0ea.png)
②已知扇形的半径
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ec556703fc98d32003759064c20b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26390a4c601ab474be46341e5f72a526.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffa8ddcbbe89ab0f250f56673e2d36c.png)
④化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2db28b7fc3f9749135ebcf58b8b5497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
其中所有正确结论的编号是( )
A.①② | B.②③ | C.②④ | D.②③④ |
您最近一年使用:0次