如图,在
中,以点
为圆心的
与
相切于点
,延长
交
于点
,连接
,过点
作
,交
的延长线于点
,交
于点
,
.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/6/f215e7c9-bf4f-4816-ae5f-c93e9799aa97.png?resizew=132)
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb3c3da57f878a3049341f2a7eb0093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4354365ca0929f8a606ed0bf341e4ca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/6/f215e7c9-bf4f-4816-ae5f-c93e9799aa97.png?resizew=132)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986f6dbf6d5551c551f517bc77a06af.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8026329101f88220f78e8a3bffd35148.png)
更新时间:2023-04-04 18:32:23
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,
为
的直径,D、E是
上的两点,过D作
的切线交
的延长线于点C,连接
.
;
(2)若
,
.求
的半径.
![](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/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb2dde1da42573a41d4149176bb175d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4473189aab32bae114182227df416c7a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92191b01aa17d1d7c50fc696fe68ca28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb6ca11c8c7d9e7d5b926dc6399ee58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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解答题-证明题
|
适中
(0.65)
【推荐2】如图,AB为⊙O的直径,AD平分∠BAC交⊙O于点D,DE⊥AC交AC的延长线于点E,FB是⊙O的切线交AD的延长线于点F.
(1)求证:DE是⊙O的切线;
(2)若DE=3,⊙O的半径为5,求BF的长.
(1)求证:DE是⊙O的切线;
(2)若DE=3,⊙O的半径为5,求BF的长.
![](https://img.xkw.com/dksih/QBM/2012/6/7/1573401173352448/1573401208561664/STEM/38afd9e4e5e7467aa91cc0eb33aa89c5.png?resizew=164)
您最近一年使用:0次
解答题-作图题
|
适中
(0.65)
【推荐1】如图,已知
中,
,
,
,点
,
分别在
,
上,如果以
,
,
为顶点的三角形和以
,
,
为顶点的三角形相似,且相似比为
.
![](https://img.xkw.com/dksih/QBM/2018/11/3/2067592246632448/2068382284111873/STEM/19a8db6aa805492d8285ed1cd455be70.png?resizew=69)
根据题意确定
,
的位置,画出简图;
求
,
和
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882589c896c6993d9687f0e14a283481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf39a579261fd7a0ba598b2546b08c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d981bd8101e8abb81e85bdb467ebc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b781b83014cba03ac8f6743d06e134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7909220d1db380634534190b662ee0a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c59076e80b15755ef630fd5f40d1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf6101c529b7868bc1c2fd46aca16bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a3a3d168a18401e47576f70a692e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7909220d1db380634534190b662ee0a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c59076e80b15755ef630fd5f40d1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14c6709d2a04863cacdee618b20613e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f015ed8e497b4394053ddd19683a98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d97ca5641e1be5eacbd1d0c210f42f.png)
![](https://img.xkw.com/dksih/QBM/2018/11/3/2067592246632448/2068382284111873/STEM/19a8db6aa805492d8285ed1cd455be70.png?resizew=69)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7909220d1db380634534190b662ee0a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c59076e80b15755ef630fd5f40d1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3686a991fb2ba017a6890bc6208e8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b528aee01f2cd29dd20a153efad67b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19fb8c7a783539419a12a55d9d75a3e.png)
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解答题-问答题
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名校
【推荐2】 如图,在
中,
,以
上一点
为圆心,
长为半径的圆与
相切于点
,分别交
、
于点
、
.
(1)若
,
,求
的半径
(2)连接
、
、
、
.若四边形
是平行四边形,试判断四边形
的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f84f169e50dc59d4f7a8e1e36f5c847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86da91eda5766d56dc069c8a914f749f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/7/e4833b1b-59e7-48d8-9bd5-ebf3b315fa6e.png?resizew=187)
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【推荐3】【项目式学习】
项目主题:学科融合-用数学的眼光观察世界
项目背景:学习完相似三角形性质后,某学校科学小组的同学们尝试用数学的知识和方法来研究凸透镜成像规律.
项目素材:
素材一:凸透镜成像规律:
素材二:透镜成像中,光路图的规律:通过透镜中心的光线不发生改变:平行于主光轴的光线经过折射后光线经过焦点.
项目任务:
任务一:凸透镜的焦距
为
,蜡烛
的高为
,离透镜中心
的距离是
时,请你利用所学的知识填空:①
______,②
____;
为
,蜡烛
是
,离透镜中心
的距离是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3160fce05b551569b8c7b5de6dd8b6.png)
时,蜡烛的成像
的高
,请你利用所学的知识求出
与
的关系式:
任务三:
(1)根据任务二的关系式得出下表:
其中
______;
(2)请在坐标系中画出它的图像:
____________________________________________________.
项目主题:学科融合-用数学的眼光观察世界
项目背景:学习完相似三角形性质后,某学校科学小组的同学们尝试用数学的知识和方法来研究凸透镜成像规律.
项目素材:
素材一:凸透镜成像规律:
物体到凸透镜距离 | 像到凸透镜距离 | 像的大小 | 像的正倒 |
大于2倍焦距 | 大于1倍焦距小于2倍焦距 | 缩小 | 倒立 |
2倍焦距 | 2倍焦距 | 等大 | 倒立 |
大于1倍焦距小于2倍焦距 | 大于2倍焦距 | 放大 | 倒立 |
小于焦距 | 与物同侧 | 放大 | 正立 |
项目任务:
任务一:凸透镜的焦距
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd6f4250ca6b1b9bce234a01f00d44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce710269ec0786472cad1bb73ee7d3ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87fb327d31fbdda7f7c5650682480d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2b3247afa684b10c8e1da99cf33d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd6f4250ca6b1b9bce234a01f00d44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3160fce05b551569b8c7b5de6dd8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ccda2962fa7f1b2fd55b6c054532e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc933c59790e1e90837c1ffe02f449f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
任务三:
(1)根据任务二的关系式得出下表:
物距 | 8 | 10 | 12 | 14 | 16 | ||
像高 | 12 | 6 | 4 | 2.4 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)请在坐标系中画出它的图像:
____________________________________________________.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】如图,AB是半⊙O的直径,点D是圆弧AE上一点,且∠BDE=∠CBE,点C在AE的延长线上.
![](https://img.xkw.com/dksih/QBM/2022/2/28/2926140254994432/2941060068376576/STEM/9f075444b6bb48209bac4773b7f7bd66.png?resizew=143)
(1)求证:BC是⊙O的切线;
(2)若BD平分∠ABE,延长ED、BA交于点G,若CA=AO,DE=5,求GD的长.
![](https://img.xkw.com/dksih/QBM/2022/2/28/2926140254994432/2941060068376576/STEM/9f075444b6bb48209bac4773b7f7bd66.png?resizew=143)
(1)求证:BC是⊙O的切线;
(2)若BD平分∠ABE,延长ED、BA交于点G,若CA=AO,DE=5,求GD的长.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】如图,
是
的直径,点P是
延长线上一点,且
与
相切于点A,弦
于点F,过D点作
于点E.
(1)求证:
;
(2)若
,
,求
的半径和
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77e3c1c236141d6118429fade0a9b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35eed9fb23f80002cc31dd57109e102a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/187320d8-39be-4496-9ae9-546d23a8f72b.png?resizew=228)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8486df529508030c86b6654b719742e8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd5c4f8b106d01e0e431078e1a468b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次