如图,
为
的直径,弦
于点E,连接
并延长交
于点F,连接
,
.
![](https://img.xkw.com/dksih/QBM/2022/11/3/3101543930396672/3101801585262592/STEM/5d84c70e0f9c4c8da9a4c27276123a24.png?resizew=143)
(1)求证:
;
(2)连接
,若
,求
的长.
![](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/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b63d2504bd3ecce8c10560b142356f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4d997e2f22397b870401ccc397a5a9.png)
![](https://img.xkw.com/dksih/QBM/2022/11/3/3101543930396672/3101801585262592/STEM/5d84c70e0f9c4c8da9a4c27276123a24.png?resizew=143)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1228ebf9a05c67644357de374bb2f2.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
更新时间:2022-11-03 18:54:23
|
相似题推荐
解答题-计算题
|
较易
(0.85)
【推荐1】已知a,b,c分别是
三边的长,且
,请判断
的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319b126647e1a0fd7baa6cb6c774e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
【推荐2】已知关于
的一元二次方程
,其中
、
、
分别为
三边的长.
(1)如果
是方程的根,试判断
能否为等边三角形,并说明理由;
(2)如果方程有两个相等的实数根,试判断
的形状,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c119b5c440802795e4644fb6b8bb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fdeba282b028321696be7f90f2cbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3aa688caadfeb5bdf9c7dfecb5afa31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7152aea5d046953a8c931571be7c529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
(2)如果方程有两个相等的实数根,试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
【推荐1】“圆材埋壁”是我国古代著名数学著作《九章算术》中的问题:“今有圆材,埋在壁中,不知大小,以锯锯之,深一寸,锯道长一尺,问径几何?”用现在的数学语言可表达为:“如图,
为
的直径,弦
于点E,
寸,
寸,则直径
的长为多少?
![](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/a77e3c1c236141d6118429fade0a9b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348fb71fbc47fd87e9ce011652ef4186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐2】如图,AB是⊙O的直径,弦CD⊥AB于点E,点P在⊙O上,∠1=∠C.
![](https://img.xkw.com/dksih/QBM/2021/1/11/2633736281595904/2639339658838016/STEM/9ee35c3b-514b-496b-b098-a90644070e2e.png)
(1)求证:CB//PD;
(2)若∠ABC=55°,求∠P的度数;
(3)若BC=3,BE=2,求CD的长.
![](https://img.xkw.com/dksih/QBM/2021/1/11/2633736281595904/2639339658838016/STEM/9ee35c3b-514b-496b-b098-a90644070e2e.png)
(1)求证:CB//PD;
(2)若∠ABC=55°,求∠P的度数;
(3)若BC=3,BE=2,求CD的长.
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐1】如图,
是
的三等分点,连结
分别交
于点
.
(1)求出
的度数;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab23d35cba8479bec50940fa0ff68aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ba6d3a4b110f65a8d203aeadd03ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/2/57bd9f29-3858-4ffa-9949-95c8e00c96f0.png?resizew=125)
(1)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4598486f8c5ac28b1165b76e78105979.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79303421bee9cfa58cc40ad86257256.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
名校
【推荐2】如图1,已知
是
的直径,
内接于
,
,点
是
一动点(点
不与点
,
重合).
(1)若
,连结
,
,
,求证:
;
(2)如图2,若
平分
,连接
,求
的长.
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/919cec07-0a49-4ad9-a103-932556124464.png?resizew=226)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a16dc02090b6e9263555061f14fbc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a58e53c5f154c94d35e3cf418e1e602.png)
(2)如图2,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次