1 . 3名男生和2名女生随机站成一排,恰有2名男生相邻,则不同的排法种数为______
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2 . 已知定义在
上的函数
,其导函数为
,且
若关于
的不等式
仅有
个整数解,则实数
的取值范围是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed80d5c7d9b1ad4cb887a4e1be345f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1710aefca8c70a3098ddddb35a8775f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4695e7ce5d4fbedb2ba790f70af0224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 蚊香具有悠久的历史,我国蚊香的发明与古人端午节的习俗有关,如图为某校数学社团用数学软件制作的“蚊香”.画法如下:在水平直线上收长度为1的线段
,作一个等边三角形
,然后以点
为圆心,
为半径逆时针画圆弧交线段
的延长线于点
(第一段圆弧),再以点
为圆心,
为半径逆时针画圆弧交线段
的延长线于点
,再以点
为圆心,
为半径逆时针画圆弧……以此类推,当得到的“蚊香”恰好有15段圆弧时,“蚊香”的长度为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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4 .
的展开式中
的系数为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd0d8dfd5ceaee4160e117e2081a8cbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0c0b00e5193d7b3b55af9c6023f19b.png)
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解题方法
5 . 在
中,
,点D在线段
上,
,
,
,点M是
外接圆上任意一点,则
最大值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f01c4faacedfe56f5127d6c0cc63cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2a2a843ec6b1973068444b19b0616.png)
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2024-06-13更新
|
168次组卷
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2卷引用:湖北省襄阳市第四中学2024届高三下学期高考最后一次数学测试题
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6 . 在
的展开式中,含
的项的系数是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833ae20d9d5eb073180953c9bb7bf544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
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2卷引用:湖北省襄阳市第四中学2024届高三下学期高考最后一次数学测试题
7 . 已知等差数列
和等比数列
满足
,
,
,
.数列
和
中的所有项分别构成集合
、
,将集合
中的所有元素按从小到大依次排列构成一个新数列
,数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc625e19e7ca2b9d097f67a3d472e47.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6065aaa8f3f103d1bc960da8318ce35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2efc5e580d9fa0672a30457b8228f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1225b6a6a71cf302e0b9b1792231fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc625e19e7ca2b9d097f67a3d472e47.png)
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8 . 知识卡片:一般地,如果
是区间
上的连续函数,并且
,那么
.这个结论叫做微积分基本定理,又叫做牛顿—莱布尼茨公式.当
,
时,有如下表达式:
,两边同时积分得:
,从而得到如下等式:
请根据以上材料所蕴含的数学思想方法,由二项式定理
计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fe8f27f7d0118b645b0577c990cb9f.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babadc15694ea4139b1bb919a7d49b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb0e20a88409f5d7e899876d9d5ef09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c354be10f49f79ca7fdd3da9837a9b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2079e9798470edc75b66126cf06da150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8306906c6ffde45231e08776c0fea7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4613b9e01d001fab00a2f288d28b782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f303360ac002854ad3d63a5fca122e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fe8f27f7d0118b645b0577c990cb9f.png)
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解题方法
9 . 在
中,
,
,
分别是角
,
,
的对边,若
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59c9a0dcbc0c40441c6e3de18583769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5620e26224186bdc08f95c4cfc3f5e90.png)
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3卷引用:湖北省襄阳市第五中学2024届高三下学期第四次适应性测试数学试题
湖北省襄阳市第五中学2024届高三下学期第四次适应性测试数学试题上海市华东师范大学第一附属中学2023-2024学年高一下学期期中考试数学试卷(已下线)考题猜想01三角-期末考点大串讲(沪教版2020必修二)
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10 . 若
是函数
的两个极值点且
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4793ed72ec17a553376fea2c094077f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1ace83c0a47032af4d93dfdea56b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-04-16更新
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