1 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44027a313c61a623567efe7ec697515a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44165ae055a1721962d2ef211d63dd46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 锐角
中,a,b,c分别为角A,B,C所对的边,满足
且
的面积
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70aea1e97628791b29e8f3dcacf9eb0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7288d0b18af1a4be7f8df09af45df1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f21926992f65644e1fdb85d373a3a35.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2卷引用:湖北省鄂州市第二中学2023-2024学年高二上学期期中数学试题
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解题方法
3 . 若
,
,当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d73d9aa53e2d496bb14e106d82289940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5749bb82edfb623c63ae4ec6b4d43da8.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.方程![]() ![]() |
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3卷引用:湖北省鄂州市部分高中教科研协作体2023-2024学年高一上学期11月期中数学试题
名校
4 . 若
,则下列不等式正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6711e06cd61ac21656512e33f4ee2cd6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:湖北省鄂州市部分高中教科研协作体2023-2024学年高一上学期11月期中数学试题
解题方法
5 . 已知二次函数
的图象关于直线
对称,且经过原点与点
.
(1)求
的解析式;
(2)若函数
在区间
上的最小值为
,其中
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881fe2df23c5a0fe1d1fecbe9ffa55fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67944c315d62eb54ef4c8071f97505cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
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3卷引用:湖北省鄂州市部分高中教科研协作体2023-2024学年高一上学期11月期中数学试题
6 . 已知函数
的图象如图所示,则
的大致图象是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/b7ac9516-ebab-4fee-b7d1-79b671263238.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9534e09436d68dbd3db514a4322cf5b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/b7ac9516-ebab-4fee-b7d1-79b671263238.png?resizew=162)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 如图,在平面直角坐标系中,
为直线
上一动点,圆
与
轴的交点分别为
点,圆
与
轴的交点分别为
点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/45026cdb-fe49-42a1-a3ef-f27080018e41.png?resizew=140)
(1)若
为等腰三角形,求P点坐标;
(2)若直线
分别交圆
于
两点.
①求证:直线
过定点,并求出定点坐标;
②求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de72a5190834f5dbe895596656c038b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7fd9b0c3c203a053a7ea52b71e7c9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/45026cdb-fe49-42a1-a3ef-f27080018e41.png?resizew=140)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d8b52e3af66655cf61ed2683bf4098.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cee81e14bee7bf95ed1281613609d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
①求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
②求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f7987952c67ec6baf51bfdca434180.png)
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4卷引用:湖北省鄂州市第二中学2023-2024学年高二上学期期中数学试题
8 . 如图,在四棱锥
中,底面
为直角梯形,
,
,侧面
面
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/efb63b0a-aa51-4791-97b1-69a92a212a6e.png?resizew=165)
(1)求证:面
面
;
(2)若二面角
的大小为
,求
与面
所成角的正弦值;
(3)若平面
与平面
所成的锐二面角大小为
,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b72c6d2ae4924f930c437542b3356a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/efb63b0a-aa51-4791-97b1-69a92a212a6e.png?resizew=165)
(1)求证:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c911b404bbb8f8d5f1470585fa31ad97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(3)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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2卷引用:湖北省鄂州市第二中学2023-2024学年高二上学期期中数学试题
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解题方法
9 . 某电信运营公司为响应国家5G网络建设政策,拟实行5G网络流量阶梯定价,每人月用流量中不超过一种流量计算单位
的部分按
元
收费,超过kGB的部分按2元
收费,从用户群中随机调查了10000位用户,获得了他们某月的流量使用数据,整理得到如下的频率分布直方图.已知用户月使用流量的中位数为
(1)求表中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79ff7294ec6a06511f7825866cd4760.png)
(2)若k为整数,依据本次调查为使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1227ffad6cba603291b63731473c8e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b418f716e6ea876faa7b003b8af56044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02bff06e251b8273c15d9721dff1eb7.png)
(3)为了进一步了解用户使用5G流量与年龄的相关关系,由频率分布直方图中流量在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8981abcf7a0d9176bc8c9e0cd4c67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248cc9044a78357f3a68a1618e3765fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8981abcf7a0d9176bc8c9e0cd4c67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248cc9044a78357f3a68a1618e3765fb.png)
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4卷引用:湖北省鄂州市第二中学2023-2024学年高二上学期期中数学试题
湖北省鄂州市第二中学2023-2024学年高二上学期期中数学试题湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高二上学期期中联考数学试题(已下线)4.3百分位数-同步精品课堂(北师大版2019必修第一册)(已下线)专题13 统计(5大易错点分析+解题模板+举一反三+易错题通关)-1
名校
解题方法
10 . 如图,等腰梯形ABCD中,
,
,
,
,AB与CD的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f24e44289eda29c536ff3448297b6b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/47bb5193-f034-4b9e-b471-1d0e2bdf6913.png?resizew=175)
(1)求等腰梯形ABCD的外接圆E的方程;
(2)已知直线
与圆E相交于M,N两点,若
,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f752d0257c9aae75e212755abc1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6711f23c2900c7b00a833bf21edb23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f24e44289eda29c536ff3448297b6b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/47bb5193-f034-4b9e-b471-1d0e2bdf6913.png?resizew=175)
(1)求等腰梯形ABCD的外接圆E的方程;
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fbb4d7aa18b671a845ec7bc67f87d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3181e58f09e9fec4e43e422b82831b7.png)
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