名校
1 . 如图,由
到
的电路中有4个元件,分别为
,
,
,
,若
,
,
,
能正常工作的概率都是
,记
“
到
的电路是通路”,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5712237f33ccfd1344409039380a9e90.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.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/8455657dde27aabe6adb7b188e031c11.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f7ab83c2c0bbcaabc2a177855d55d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5712237f33ccfd1344409039380a9e90.png)
![](https://img.xkw.com/dksih/QBM/2023/9/20/3328783540166656/3329605824864256/STEM/0ccb9ed424314532a95c56e35eacc524.png?resizew=201)
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2023-09-21更新
|
1015次组卷
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6卷引用:四川省眉山市仁寿县2023-2024学年高二上学期10月月考(第一次校际联考)数学试题
2 . 如图,一块长为
,宽为
的长方形绿地,在绿地中开辟两条宽为
的道路(阴影部分)后剩余绿地面积为
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f631cfdf4666db95beb923072ced8d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c56c87fd6bf8a44244ba51a9d244e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3bde6ef2ee5b749b4d48d706543cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fbc452be35f82cdcc266ae45ee0018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/21/0641e048-fd1f-477c-8565-eb882566200c.png?resizew=155)
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解题方法
3 . 给如图所示的1~9号方格进行涂色,规则是:任选一个格子开始涂色,之后每次随机选一个未涂色且与上次所涂方格不相邻(即没有公共边)的格子进行涂色,当5号格子被涂色后停止涂色,记此时已被涂色的格子数为X,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60176522fe861b4fffaa3ed3e37c4d58.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60176522fe861b4fffaa3ed3e37c4d58.png)
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2023-09-16更新
|
934次组卷
|
4卷引用:四川省宜宾市叙州区叙州区第一中学校2023-2024学年高二上学期10月月考数学试题
四川省宜宾市叙州区叙州区第一中学校2023-2024学年高二上学期10月月考数学试题海南省海口市2023届高三下学期学生学科能力诊断数学试题(已下线)第九章 综合测试B(基础卷)(已下线)高一下学期期末复习填空题压轴题二十三大题型专练(2)-举一反三系列(人教A版2019必修第二册)
名校
4 . 如图,直线
与函数
(
)的图象只有一个公共点A,且直线与x轴、y轴分别交于B、C两点,过点A分别作x轴、y轴的垂线,垂足分别为D、E,则下列说法正确的有___________ (将正确的序号填在横线上).
①
;
②点
恒在抛物线
上;
③
是定值;
④矩形
面积为定值;
⑤
和
的面积之和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b4f23770747042d68b0fa011762258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/17/e7c3aabf-1751-43a6-8a4a-216cd1e44b91.png?resizew=146)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa50346237f69307a6f08037562e67e6.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d071b6a9d831f691bb5651639ba2bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce21531a886c50568b75fd4278f15dcf.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e95817012a5d8fdc7e9d48e08ed2d44.png)
④矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387a23d14e10d69792760eb97904782.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80651f797ab9dccfd7163c605b091ad5.png)
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5 . 清初数学家梅文鼎在著作《平三角举要》中,对南宋数学家秦九韶提出的计算三角形面积的“三斜求积术”给出了一个完整的证明,证明过程中创造性地设计直角三角形,得出了一个结论:如图,
是锐角
的高,则
.当
,
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369ba3cba38acef0f6cda42261b4e8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd446aac9c2e599532e7f00aafb23e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad4c0ba3a6750537789844d0ec419d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/ab9cce87-31d5-477c-9581-a555408df15a.png?resizew=143)
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6 . 如图,在平面直角坐标系中,以点
为圆心作半径为1的圆,点
,
为圆
上的动点,且
,点
为一定点,倍长
至
,则线段
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4c60a39479f30736dde0c6085833b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/72977c3b-ef16-425b-a5c7-a433335e00bd.png?resizew=173)
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2023-09-11更新
|
732次组卷
|
5卷引用:四川省成都市实验外国语学校教育集团2023-2024学年高一新生入学统一考试数学试题
四川省成都市实验外国语学校教育集团2023-2024学年高一新生入学统一考试数学试题 重庆市涪陵区部分学校2023-2024学年高二上学期第一次月考数学试题湖南省衡阳市衡阳县第二中学2023-2024学年高二上学期期中数学试题(已下线)第一次月考检测模拟试卷(原卷版)(已下线)高二上期中真题精选(易错60题30个考点专练)【考题猜想】-2023-2024学年高二数学上学期期中考点大串讲(人教A版2019选择性必修第一册)
7 . 将矩形
纸片按如下步骤折叠:
图1 图2
第一步:如图1,沿对角线
折叠,点
的对应点为点
,线段
交线段
于点
;
第二步:如图2,将
沿
折叠,点
的对应点为点
,
连接
交
于点
.若
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/d52694d6-5cf4-409b-9cef-62462ac90c9a.png?resizew=155)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/8767f536-b9f3-4b84-be50-5af5941dd497.png?resizew=151)
图1 图2
第一步:如图1,沿对角线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
第二步:如图2,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94afa8a87d608292d6c1a8f39b21a82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a477603f3f88c3b48352b6130f9ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97711e9a836bf6edc7dede064ca69654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce4a3e02ce5a11bcebb73315858f33d.png)
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8 . 若点
到
轴的距离与它到
轴的距离相等,则它关于原点的对称点坐标是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23330b19353e94736b40d341d5988e89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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9 . 如图,数字代表所在半圆的面积,则
所代表的半圆的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/14/05e3ef17-eaf5-41cf-ba25-702d40d7baa0.png?resizew=116)
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10 . 勒洛三角形是分别以等边
的每个顶点为圆心,以边长为半径的三段内角所对圆弧围成的曲边三角形,由德国机械工程专家勒洛首先发现,勒洛三角形因为其具有等宽性被广泛地应用于机械工程,如转子发动机,方孔钻机等.如图,曲边三角形即是等边
对应的勒洛三角形,现随机地在勒洛三角形内部取一点,则该点取自
及其内部的概率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/8/552fc076-8d3f-47d0-90ac-3fa10729d9c8.png?resizew=160)
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2023-09-11更新
|
178次组卷
|
2卷引用:四川省成都市蓉城联盟2023-2024学年高三上学期入学联考文科数学试题