1 . 如图,
中,点
在
上,
交
于点
,若
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5a2fb856430b29a6369ec01df97472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7ecedb0942915e5e5c55995a61c75b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-26更新
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105次组卷
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7卷引用:2017—2018学年度第一学期海南省海口市九中九年级数学科期末检测题
2017—2018学年度第一学期海南省海口市九中九年级数学科期末检测题海南省海口市丰南中学2019-2020学年九年级上学期期末数学试题2016-2017学年度海南省上秀峰中学九年级第二次月考数学试卷海南省海口市龙华区金盘实验学校2019-2020学年九年级上学期期中数学试题(已下线)专题27.9 平行线分线段成比例(巩固篇)(专项练习)-2021-2022学年九年级数学下册基础知识专项讲练(人教版)2023年海南省省直辖县级行政单位临高县中考模拟预测数学模拟预测题2023年海南省临高县中考数学模拟预测题
2 . 如图,抛物线
过点
,与x轴的负半轴交于点B,对称轴是直线
,连接
,过A作
轴于C.
(2)若M是
上的一点,作
交
于点N,当
面积最大时,求点M的坐标;
(3)P是x轴上异于C的一点,过P作
轴与抛物线交于Q,连接
.当以O,P,Q为顶点的三角形与以O,A,C为顶点的三角形相似时,求P点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53be61cd85ec86aabd164cae0265246b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c593ec27179ce9912b56be0387333452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2241bd71e0c20867029e489f9ba655d.png)
(2)若M是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cc9f041724e7fa6b08c717de02fc9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246b32e19ae21b0cd1f826c47f517ca0.png)
(3)P是x轴上异于C的一点,过P作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2784a52c4da98dc9df661fc152fc29e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d57c5366753582457cc87de6e90b302.png)
您最近一年使用:0次
3 . 如图,在平角坐标系中,直线
分别与x轴、轴交于点A、B,点M在坐标轴上、点N在坐标平面内,若以A、B、M、N为顶点的四边形为矩形,则点N的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9118cc77fc0a045337745890e50cad.png)
您最近一年使用:0次
2024-04-24更新
|
72次组卷
|
5卷引用:江西省鹰潭市余江区2023-2024学年九年级上学期期末数学试题
江西省鹰潭市余江区2023-2024学年九年级上学期期末数学试题2023年江西省萍乡市中考模拟数学试题江西省赣州市章贡区、经开区2023-2024学年九年级下学期期中数学试题(已下线)专题9.16 矩形(分层练习)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(苏科版)(已下线)专题19.38 一次函数几何分类专题(四边形综合问题)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)
4 . 【问题初探】:(1)数学活动课上,刘老师给出如下问题:如图1,在四边形
中,
,垂足为E.求证:
.
①如图2,小涵同学从
,这个条件出发,给出如下解题思路:得出
,作
平分
交
于点F,将
转化为
与
之间的数量关系.
②如图3,小慧同学从结论的角度出发给出如下的解题思路:延长
至点G,使
,连接
,将线段
与
之间的数量关系转化为线段
与
之间的数量关系.
请你选择一名同学的解题思路,写出证明过程.
【类比分析】:
(2)刘老师发现之前两名同学都运用了转化思想,证明一条线段是另一条线段的2倍,将长的线段平分或将短的线段倍长,从而转化为证明两条线段相等.为了帮助学生更好地感悟转化思想,刘老师提出了下面的问题,请你解答.
如图4,在
中,
,D是
边上一点,连接
,过点B作
于点E,在
上截取
,连接
交
于点G.求证:
.
【学以致用】:
(3)如图5,在
中,
,
,D是
中点,点E在线段
上,连接
,延长
至点F,使
,连接
,若
.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ac8fdf4b33c3fca1c3f263fa7efe18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489527b3e4e6a6499b5006eb6c1ff37e.png)
①如图2,小涵同学从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd3667342d6e760ecc7c2ba70ee06fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b44862f180cd0a2da89e7b24716305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd3667342d6e760ecc7c2ba70ee06fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db0641078052bf1af17b4c5a01b9ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5157b42da58d55daad27d98b2fec15ff.png)
②如图3,小慧同学从结论的角度出发给出如下的解题思路:延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d707c196e6cab04a80151d542de9ee46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
请你选择一名同学的解题思路,写出证明过程.
【类比分析】:
(2)刘老师发现之前两名同学都运用了转化思想,证明一条线段是另一条线段的2倍,将长的线段平分或将短的线段倍长,从而转化为证明两条线段相等.为了帮助学生更好地感悟转化思想,刘老师提出了下面的问题,请你解答.
如图4,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6470a8f2500b3a7ca541a22819bf303.png)
![](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/9b937442ad4cc480adc11bb143559454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bbc115577cd400ad9b83b0102440c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e3822201a735481b864b611e21d2f9.png)
【学以致用】:
(3)如图5,在
![](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/38881f99bb64a574dd49a729e409581e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a893fc8b2e9d55c9cdf8aceb3827a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a891d0ab61fcb87b1b6112d8bf7d7c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1361c0f97b8e1252d8bf911f76c9d9a9.png)
您最近一年使用:0次
2024-04-22更新
|
509次组卷
|
4卷引用:辽宁省大连市高新技术产业园区2023-2024学年九年级上学期期末数学试题
5 . 如图,在平面直角坐标系
中.边长为3的等边
的边
在x轴上,C、D、E分别是
上的动点,且满足
,连接
,当点E坐标为______ 时,
与
相似.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f155c9ad94cadfa988a540c82322534c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378791a4bab2563f9f002a6620d38815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1f908b267576344b0067285584762d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
您最近一年使用:0次
6 . 如图,
中,
,在边
上取一点O,以O为圆心,
为半径作圆,分别交
于点D、E,连接
,
.
是
切线;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d54431bbb28ebd98db5c1dc6083a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7388b1e154d12ffab7040a54ed6c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3022ad2e05b41ada0be334bafe8b9ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da34ca79dff70e12ee89de5a28673b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0005e1ef60f6ddc5f9a83e3de1ef3b2e.png)
您最近一年使用:0次
7 . 在
和
中,
,
,
,
,
.
、
上时,求
与四边形
的面积比;
(2)如图2,
绕点A逆时针旋转角度
连接
,在
上找一点F,使得
,取
中点G,连接
,求
的长;
(3)如图3,
经旋转得到以
为长、
为宽的矩形
,矩形
绕点A逆时针旋转一周,当B、M、E三点共线时,直接写出
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e7ba6e267dde1a65a98f9f36b585ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b937996893f20b1edc43750ee24c31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8b709a173120436dac669c74b927d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d5771b9c6871873c85dda99cc884b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e3b2778fc36a944d2dffd644690bd3.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/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce735bef8c7fc6a1ddcebd449e38f7e.png)
(2)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ec322561cf11319ab0e316671b2ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4981bc4c3c643aaef01409279381e479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e57a13c665af88f326c9890072bf73.png)
(3)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78bf7adfcd680efff79823e6c6176d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78bf7adfcd680efff79823e6c6176d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
您最近一年使用:0次
8 . 图1、图2均是
的正方形网格,每个小正方形的顶点称为格点,小正方形的边长为1,点A、B、C均在格点上.在图1、图2中,只用无刻度的直尺,在给定的网格中按要求画图,不要求写出画法,保留作图痕迹.
的中线
;
(2)在图2中
的边
上找到一点F,使
;
;
(3)
______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a96e9c2e2a15130d1d56a1d0e16b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)在图2中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3deee661336684541870cef3da7dcbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b93087e59c2e08258bd523aa77807e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9a53e552116848849b76dab92d0ac.png)
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9 . 如图,点M是三边均不等的
三条角平分线的交点,过M作
,分别交
于D、E两点,设
,
,
,关于x的方程
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6b5026f0d684bf35cc3237bcd3ae2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d54431bbb28ebd98db5c1dc6083a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9001f0c06cf2c8f893a38b1dabe6219e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee745c99acb9d50c86ebd83faf2d020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c04147b22987ffcba0b741596120cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a980e08d47e4756633ebf09798de3cf9.png)
A.一定有两个相等实数根 |
B.一定有两个不相等实数根 |
C.有两个实数根,但无法确定是否相等 |
D.没有实数根 |
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名校
10 . 如图,在锐角
中,以
为直径的半圆O分别交
,
于D,E两点,且
,则:
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/e3a4d496bea80757ce78844f351fd5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eacdc57006641a602518853a4bad3a3d.png)
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