1 . 如图,已知等腰
,
,以
为直径作
交
于点
,过
作
的切线交
于点
,交
延长线于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/2/570eea8f-0db1-4e1f-b905-6ee4cf92a3a1.png?resizew=239)
(1)求证:
.
(2)若
,
,求图中阴影部分的面积(结果用
表示).
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.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/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/2/570eea8f-0db1-4e1f-b905-6ee4cf92a3a1.png?resizew=239)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a77e11e1e45c2a8b2d34d22cf8e04.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df003447e98fd5ba9badd42177f345db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82773737609e65dea3c5c67099f1b10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
您最近一年使用:0次
2 . 如图,在四边形
中,
,
,
,以
中点
为圆心作弧
及弧
,动点
从
点出发沿线段
,弧
,弧
,线段
的路线运动,点
从点C运动到点
时,线段
扫过的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798a74058ec4bc40b6d9b5d268c359b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3896be7150df9588cdf89bc62ccc7fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
23-24九年级上·浙江·期末
3 . 如图1,
的半径为
,平行四边形
的顶点A,B,C在
上,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/97663380-e17c-4e04-9104-01b2e084fe1e.png?resizew=340)
(1)求证:
是
的切线;
(2)若
也与
相切,求证:四边形
是菱形;
(3)如图2,
与
相交于点E,连接于
,当
时,求平行四边形
的对角线
的长及阴影部分图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf8111bf36bfb6420a734cc51560e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/97663380-e17c-4e04-9104-01b2e084fe1e.png?resizew=340)
(1)求证:
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51e114946a52a5621d4e9b73165fa28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
4 . 问题提出
(1)如图1,
的半径为
,弦
,
是弦
所对的优弧
上的一个动点,求图中阴影部分的面积之和的最小值.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/8414b96c-fbf1-4172-9f8a-e8fbaf1c9169.png?resizew=142)
问题解决
(2)如图2,这是某市的一个面积为
的圆形宾馆示意图.点
为圆心,宾馆设计图纸中有一个四边形区域
,连接
,其中等边
为接待区域,
为休息区域,当点
在
的什么位置上时,四边形区域
的面积最大?并求出最大值.
(1)如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff65ab4ec507ada90acb8755fbd189c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf468f5132e14ee1d8cc766808b11af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/8414b96c-fbf1-4172-9f8a-e8fbaf1c9169.png?resizew=142)
问题解决
(2)如图2,这是某市的一个面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565073e1f31f6a4511bf166601f73d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f8abda6a85e7ef6f281fc2df853fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd38e0d42026b953b2fd2ad3634ecb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f8abda6a85e7ef6f281fc2df853fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/6531e909-d0b5-4998-93e5-8a3e0de43626.png?resizew=146)
您最近一年使用:0次
5 . 现在很多家庭都使用折叠型餐桌来节省空间,两边翻开后成为圆形桌面如图①,餐桌两边
和
平行且相等,
如图②,小华用皮尺量得
,
,那么桌面翻成圆桌后,桌子面积会增加( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/344ec180a4e5f7b60d799b4014d5cc33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d52efe8c7ec20d78aa911c0fb90368.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-14更新
|
215次组卷
|
4卷引用:辽宁省铁岭市2023-2024学年九年级上学期期末数学试题
辽宁省铁岭市2023-2024学年九年级上学期期末数学试题辽宁省铁岭市铁岭县2023-2024学年九年级上学期期末数学试题31-与圆有关的计算(已下线)数学(山西卷)-学易金卷:2024年中考考前押题密卷
6 . 如图1,四边形
内接于
为直径,过点C作
于点E,连接AC.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/b9c7a10c-fa64-4bce-93da-f1373eaff157.png?resizew=343)
(1)求证:
;
(2)如图2,连结
,若
,
,求
与弧
围成阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a694f3779e625c2cde0e2ca8b331d69a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f913298f0fae9f55377a8deab9f099dd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/b9c7a10c-fa64-4bce-93da-f1373eaff157.png?resizew=343)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a0e8a5b22995702a2618ae7c1262d7.png)
(2)如图2,连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff4eb437a41532b6a9b747d5421e642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1f4f255d191786f7d330d278868c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a28bd5b008b4d32b671187784d27f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
2024-01-11更新
|
242次组卷
|
3卷引用:江苏省南通市海门区2023-2024学年九年级上学期期中数学试题
7 . 已知,在半圆
中,直径
,点
、
在半圆
上运动,(点
、
可以与A、
两点重合),弦
.
(1)如图1,当
时,求证
;
(2)如图2,若
时,求图中阴影部分(弦
、直径
、弧
围成的图形)的面积;
(3)如图3,取
的中点M,点C从点A开始运动到点D与点B重合时结束,在整个运动过程中:
①点M到
的距离的最大值是______;
②直接写出点M的运动路径长______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.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/f52a58fbaf4fea03567e88a9f0f6e37e.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/a6493160-8e5b-473b-9fe6-c868350b1ce0.png?resizew=567)
(1)如图1,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f7abf31402fcfd6f86fb434adc37d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6607b4a63bd6637b248c8d45aa441091.png)
(2)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e08c088f4281baf6c431ca4ee1fa0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(3)如图3,取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
①点M到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
②直接写出点M的运动路径长______.
您最近一年使用:0次
名校
8 . 如图,在矩形
中,
,点
是
边上的一个动点,连接
,点
关于直线
的对称点为
,当点
运动时,点
也随之运动.若点
从点
运动到点
,则线段
扫过的区域的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/2906112e-8b00-4579-9771-c3b4c80a6012.png?resizew=179)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cf954378eca1e0383020c48bbf905c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/2906112e-8b00-4579-9771-c3b4c80a6012.png?resizew=179)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-04更新
|
173次组卷
|
2卷引用:江苏省无锡市梁溪区东林中学2023-2024学年九年级上学期期中数学试题
9 . 如图,
是
的直径,点
是
上一点,
与过点
的切线垂直,垂足为
,直线
与
的延长线交于点
,弦
平分
,交
于点
,连接
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/dfa30999-7520-4c19-a3a5-1e8d6107b56c.png?resizew=170)
(1)求证:
平分
;
(2)求
的半径;
(3)若
是
的中点,求阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09254148205a4a4270366a3bf97fd1f6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/dfa30999-7520-4c19-a3a5-1e8d6107b56c.png?resizew=170)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
您最近一年使用:0次
10 . 在
中,
,
平分
交
于点E,D是边
上一点,以
为直径的
经过点E,且交
于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/4389a71d-cd21-47ae-a79d-b628a5837ea4.png?resizew=155)
(1)求证:
是
的切线;
(2)若
,
,求图中阴影部分的面积.
![](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/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/4389a71d-cd21-47ae-a79d-b628a5837ea4.png?resizew=155)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce84f6062f12bf6ef42d7b733cd2248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e44d7372864cc7cf8c6396458771f79.png)
您最近一年使用:0次
2023-12-31更新
|
400次组卷
|
6卷引用:湖北省襄阳市枣阳市2021-2022学年九年级上学期期末数学试题
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