1 . 关于
的方程
的解是正数,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e46a831aa25494588bbd2c92faab8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3卷引用:江苏省南京市金陵中学河西分校2023-2024学年八年级下学期期中数学试题
真题
2 . 2024年“五一”假期,扬州各旅游景区持续火热.小明和小亮准备到东关街、瘦西湖、运河三湾风景区、个园、何园(分别记作A、B、C、D、E)参加公益讲解活动.
(1)若小明在这5个景区中随机选择1个景区,则选中东关街的概率是______;
(2)小明和小亮在C、D、E三个景区中,各自随机选择1个景区,请用画树状图或列表的方法,求小明和小亮选到相同景区的概率.
(1)若小明在这5个景区中随机选择1个景区,则选中东关街的概率是______;
(2)小明和小亮在C、D、E三个景区中,各自随机选择1个景区,请用画树状图或列表的方法,求小明和小亮选到相同景区的概率.
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3 . 已知:
,
,
.
(1)求
的值;
(2)
、
、
之间的数量关系为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf2c16c8fb08585fbd33dfae08b3c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9509151d9ec12a74c5f34c9b36ec332e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4096794eab4d221a8b94af4065b56d03.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dda8526df04fea632bcab082fbaf66.png)
(2)
![](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)
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4 . 根据下列条件回答问题
(1)已知
,求n的值;
(2)已知
,
,求
的值.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eef2041d1e93f8bd644fc3bb7971ce8.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf2917e77945b30da7be9b48b0b317a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ce81118ced4ace0fea83a458e508ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440b6889cdf9f493300a3e52629f370b.png)
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5 . 下列运算:①
;②
;③
;④
;正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b016f446b221306f9a6747551d50d27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c1037152bd99373836bb9aa2b29ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3555e2ea4a04637f8ceff23b50c5a8fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502feac297eab089aa75517988a722a2.png)
A.②③④ | B.①②③ | C.①②④ | D.①③④ |
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6 . 下列计算,结果正确的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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真题
7 . 如图,
是
的内接三角形,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2a8bf5e05a07c93a7104839fc21849.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860138c0298f7f4f414dcad53e633a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2a8bf5e05a07c93a7104839fc21849.png)
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8 . 春暖花开,正是放风筝的好时节.如图是小明在一次放风筝活动中某时段的示意图,他在A处时的风筝线(整个过程中风筝线近似地看作直线)与水平线构成
,线段
表示小明身高
米.当他从点A跑动10米到达点B处时,风筝线与水平线构成
,此时风筝到达点E处,风筝的水平移动距离
米,这一过程中风筝线的长度保持不变,求风筝原来的高度
(精确到
米).(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26537461e34c5ab7fd30476ac25217a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8f58755aee89fb2cf72ba518dcee2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e643a2908e217f2294d86b836cad5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81cbc4c04678d6155ed6fa775fcf608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ecad355286188fd317939fa50f9555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37475e3957c12557df59e6ab169195e3.png)
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真题
9 . 二次函数
的图象过点
,
,
,
,其中m,n为常数,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c17110dba6a1ddf771e188afa8218a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c002b217ad91af7a84ebc1eba4d4d97e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd65fdb203eb0bf1526a5d072c4ce8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e7521ffc90cb8be3edb4a55ff2d507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0be44077d42cfffece905b1af13e000.png)
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10 . 已知
,
平分
,点
,
,
分别是射线
,
,
上的动点
,
,
不与点
重合),连接
,连接
交射线
于点
,设
.
,
①
的度数是 ;
②当
时,
的度数是 ;当
时,
的度数是 ;
(2)在一个四边形中,若存在一个内角是它的对角的2倍,我们称这样的四边形为“完美四边形”,如图2,若
,延长
交射线
于点
,当四边形
为“完美四边形”时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5ddb4028140a59dc51a221a73fe28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27935c1ef4df2d52ac697678a3c8f39d.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/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db7bd6f151534875f9602ca245c8f01.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2cf0e95fdf1fd8a5b01d3dfd905e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8c84d43d19a0956046844be64d8d50.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bc29145f6e7557711c34b443bd5e84.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06c66a69a1b244dbebace3a7094e5653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a037c23a11c7783b1b44988c21634f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018ab63439370b2a6fed09871939e02b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a037c23a11c7783b1b44988c21634f.png)
(2)在一个四边形中,若存在一个内角是它的对角的2倍,我们称这样的四边形为“完美四边形”,如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79016e5cebdaf32a36945bbfc404da02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de8270d49224bb059908ea982a56e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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47次组卷
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6卷引用:江苏省扬州中学教育集团树人学校2021-2022学年七年级下学期期中考试数学试题
江苏省扬州中学教育集团树人学校2021-2022学年七年级下学期期中考试数学试题江苏省盐城市盐都区第一共同体2022-2023学年七年级下学期第二次月考数学试题江苏省江阴市澄要片2023-2024学年七年级下学期期中考试数学试题(已下线)第7章 平面图形的认识(二)压轴大题(9个考点40题专练)-2023-2024学年七年级数学下学期考试满分全攻略高频考点+重难点讲练与测试(苏科版)(已下线)江苏省七年级下学期期中真题必刷压轴60题(32个考点专练)-2023-2024学年七年级数学下学期考试满分全攻略高频考点+重难点讲练与测试(苏科版)(已下线)第六章 平行四边形能力提升测试卷-2023-2024学年八年级数学下册《知识解读·题型专练》(北师大版)