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1 . 2023年7月11日第64届国际数学奥林匹克竞赛结果公布,中国队6名参赛选手全员金牌,再夺第一.某班级为了选拔数学竞赛选手,举行初次选拔考试,共有排好顺序的两道解答题.规定全部答对者,通过选拔考试.设甲答对第一道和第二道题的概率分别为
,
,乙答对第一道和第二道题的概率分别为
,
,甲,乙相互独立解题,答对与否互不影响.
(1)求甲,乙都通过考试的概率;
(2)记事件
“甲、乙共答对两道题”,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求甲,乙都通过考试的概率;
(2)记事件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a10353eb53b3fbac1a0c0734d95f0a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ed9c535b799b84b69b27866cb44bc4.png)
您最近一年使用:0次
2023-09-13更新
|
923次组卷
|
4卷引用:江西省吉安市遂川中学2023-2024学年高一上学期期末数学模拟试卷
2 . 已知向量
,
.设函数
,
.
(1)求函数
的解析式及其单调增区间;
(2)设
,若方程
在
上有两个不同的解
,求实数
的取值范围,并求
的值.
(3)若将
的图像上的所有点向左平移
个单位,再把所得图像上所有点的横坐标伸长为原来的2倍(纵坐标不变),得到函数
的图像.当
(其中
)时,记函数
的最大值与最小值分别为
与
,设
,求函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e799f96093d8bfb6b5a6709ec6c4f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946b48a52deb8046aa914743976d585d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19eec7b3f71103529d3e40a5fa885663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e101a51a158ada412cb00e8eccdcaf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5226dd4e2d35264cf06db4af3b103a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac075691407fc7a2eb3fcd3dc372d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ca3aa2d1ba52e82613d0d65d800e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0862ffea88e467274cadae1d43aaae.png)
(3)若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4091db0afc745453052bf2cdb2b6b27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa340e78e904cbfad040973ea75f3c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97375cc323000d47f4809130084d0794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ab787a669e0df3c59b7251ea61ebee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a3e257ee2da131c8886346192dcd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4b8114fcc770a8512cf03da137ca4e.png)
您最近一年使用:0次
2023-03-26更新
|
851次组卷
|
2卷引用:江西省抚州市资溪县第一中学2022-2023学年高一下学期7月期末考试数学试题