河南省洛阳市西工区2023-2024学年七年级下学期期中数学试题
河南
七年级
期中
2024-05-24
35次
整体难度:
容易
考查范围:
图形的性质、数与式、方程与不等式、图形的变化、函数
一、单选题 添加题型下试题
①两点确定一条直线;
②相等的角是对顶角;
③内错角相等;
④邻补角是两个互补的角.
其中,假命题的个数是( )
A.1 | B.2 | C.3 | D.4 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e3e203f1f9f5eccd69f4a95f211f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6068c3902f2e4cb3d3df10e9413adbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
A.132° | B.138° | C.156° | D.159° |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e9d12c161513a8b31acfcc5e74882f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c414a5c80e2148191a2f09167d4dba3.png)
A.②③ | B.②③④ | C.①②④ | D.③④ |
【知识点】 同位角、内错角、同旁内角解读
A.互余 | B.相等 | C.互补 | D.不等 |
A.2 | B.4 | C.9 | D.16 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737fd016acff480b8c0d1a748832424a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/18/0318f95a-a878-4f7b-b5f2-60d048d89380.png?resizew=197)
A.45° | B.![]() | C.![]() | D.![]() |
![](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/5d59a9818c1bc5b90f3dab68b6c31746.png)
A.![]() | B.0 | C.![]() | D.![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e03566282ef39ad17821036f228174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9c14d7ac0501707e8d6eb48a956faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 三角板中角度计算问题解读 两直线平行同位角相等解读
A.先向右平移1个长度,再向下平移3个单位长度 |
B.先向左平移1个长度,再向下平移3个单位长度 |
C.先向上平移3个长度,再向左平移1个单位长度 |
D.先向下平移1个长度,再向右平移3个单位长度 |
【知识点】 已知点平移前后的坐标,判断平移方式解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ef89709e899175fffb7bf481d8431e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb8408a4162d58e6ac26ceb30cba1d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24a0118b5b8b43bad75ec3354247c76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 点坐标规律探索
二、填空题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6064ad2c0b24fc76381cd4b4270ae56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5abf90e8307ef8dcc1030ebe7fd06a.png)
【知识点】 求一个数的立方根解读 二次根式有意义的条件解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed619e2dc900c52a29012e5b821451bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752fa646a2d9cfca34001748445301c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29f9f4fb55def567f40a93a87f466c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d5ff57f147aa0628fdd47899b5a132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af342d3b871ace448ccc7c648528288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b23af97ed7f7fb4cb1478504bf7056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd465973943bcd766b5275ee204bbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81623b403d87dfdfd4f67c62cddd25c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685516a27697104e83b311d76efa17aa.png)
三、解答题 添加题型下试题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31816107075e0d44bfe39d473776908c.png)
(2)在(1)的条件下,判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
【知识点】 同位角相等两直线平行解读 尺规作一个角等于已知角解读
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119affb4b2db620a5b6920e7630ba56c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98065bbfc8f527f361bb4827bea822c.png)
【知识点】 含乘方的有理数混合运算解读 利用平方根解方程解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40f42a2b98bcfacd54a7049138265c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6f892518ed1cd9150f91903fb96843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e3522133f4df5f012ea8f9c48e983b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cd316a7b138e30235b5f7ed75fffd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06df3b822800139fd3ba2cb1ceaeaf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb5dff7e171af37e050c12cb1c58819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e3555cd6c109962fecba3a677c5286.png)
∴∠
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf1c18fc6ebb6a90ec768a30058dedb.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38a7112b8c4d853159468833815faef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bb3caba2b157026325b3d8a5404fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e3522133f4df5f012ea8f9c48e983b.png)
【知识点】 根据平行线判定与性质证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50476548b1c06dfbf5cb17fde417adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/16/9ef6ba15-38cf-4307-9249-89705589d79e.png?resizew=177)
【知识点】 与平行线有关的三角形内角和问题解读
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0282143bbaa70bfcb73c4d647df0f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d829c6e6250c745962e5fff6146b8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7307ac7510cf35f74337d368b94da4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce63e548470d6f30df1e98fe42fb639b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7307ac7510cf35f74337d368b94da4e5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b7338bba78d1b3980330beb3d7acdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b723421b10b3735be77e1c79fa1425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a227be7f005bcb4ee4ff2d6b600c0482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f28d35611af6d2c64ad19771297f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fed700b7a3ab2ee7fbae12507033af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f80171d789e141ea18ab892f1bc42e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e6c80bea87734e4b98b4f6be326286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a22387740736a8487a87f381e22fe75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8d6ff522ad448b3a40f68681121a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
①计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
②解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74108918d91402b14d33bce1755472e6.png)
在“相交线与平行线”的学习中,有这样一道典型问题:
如图①,AB∥CD,点P在AB与CD之间,可得结论:∠BAP+∠APC+∠PCD=360°.
过点P作PQ∥AB.
∴∠BAP+∠APQ=180°.
∵AB∥CD,
∴PQ∥CD.
∴∠PCD+∠CPQ=180°.
∴∠BAP+∠APC+∠PCD
=∠BAP+∠APQ+∠CPQ+∠PCD
=180°+180°
=360°.
(1)如图②,AB∥CD,点P在AB与CD之间,写出∠BAP,∠APC,∠PCD间的等量关系;(只写结论)
(2)如图③,AB∥CD,点P,E在AB与CD之间,AE平分∠BAP,CE平分∠DCP.写出∠AEC与∠APC间的等量关系,并说明理由;
(3)如图④,AB∥CD,点P,E在AB与CD之间,∠BAE=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
【知识点】 角平分线的有关计算解读 根据平行线判定与性质求角度解读
试卷分析
试卷题型(共 23题)
试卷难度
知识点分析
细目表分析 导出
题号 | 难度系数 | 详细知识点 | 备注 |
一、单选题 | |||
1 | 0.85 | 对顶角的定义 邻补角的定义理解 两直线平行内错角相等 判断命题真假 | |
2 | 0.85 | 角平分线的有关计算 两直线平行同位角相等 两直线平行内错角相等 | |
3 | 0.85 | 同位角、内错角、同旁内角 | |
4 | 0.85 | 角平分线的有关计算 与余角、补角有关的计算 根据平行线的性质求角的度数 | |
5 | 0.85 | 已知一个数的平方根,求这个数 解一元一次方程(一)——合并同类项与移项 | |
6 | 0.85 | 求一个角的余角 两直线平行同位角相等 两直线平行内错角相等 根据平行线的性质求角的度数 | |
7 | 0.85 | 根据点在数轴的位置判断式子的正负 化简绝对值 利用二次根式的性质化简 | |
8 | 0.94 | 三角板中角度计算问题 两直线平行同位角相等 | |
9 | 0.94 | 已知点平移前后的坐标,判断平移方式 | |
10 | 0.85 | 点坐标规律探索 | |
二、填空题 | |||
11 | 0.65 | 实数的大小比较 | |
12 | 0.65 | 求一个数的立方根 二次根式有意义的条件 | |
13 | 0.65 | 绝对值非负性的应用 求一个数的平方根 写出直角坐标系中点的坐标 | |
14 | 0.85 | 角平分线的有关计算 对顶角相等 利用邻补角互补求角度 | |
15 | 0.65 | 角平分线的有关计算 内错角相等两直线平行 两直线平行内错角相等 | |
三、解答题 | |||
16 | 0.65 | 同位角相等两直线平行 尺规作一个角等于已知角 | 作图题 |
17 | 0.85 | 含乘方的有理数混合运算 利用平方根解方程 | 计算题 |
18 | 0.65 | 根据平行线判定与性质证明 | 证明题 |
19 | 0.65 | 与平行线有关的三角形内角和问题 | 问答题 |
20 | 0.65 | 几何图形中角度计算问题 角平分线的有关计算 对顶角相等 利用邻补角互补求角度 | 问答题 |
21 | 0.65 | 平移(作图) 由平移方式确定点的坐标 已知点平移前后的坐标,判断平移方式 利用网格求三角形面积 | 作图题 |
22 | 0.94 | 用数轴上的点表示有理数 数轴上两点之间的距离 求一元一次不等式的解集 在数轴上表示不等式的解集 | 计算题 |
23 | 0.4 | 角平分线的有关计算 根据平行线判定与性质求角度 | 问答题 |