如图,
是
的直径,延长弦
到点
,使
,连接
,过点
作
,垂足为
.
(1)判断直线
与
的位置关系,并证明你的结论;
(2)若
的半径为6,
,延长
交
延长线于点
,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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0145eeb463f49ec362d52ef68dab367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/03637eb5-0bf5-4a1c-96ba-513fccb2a646.png?resizew=163)
(1)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
更新时间:2024-01-25 17:42:12
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,
内接于
,
为
的直径,点A是弧
的中点,
交
于M,
交
于E,
.
(1)求证:
是
的切线;
(2)求证:
;
(3)若
,
,求
的长.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce25e95729c34d26e482512d36dd89b1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/8/aa3e8aac-9554-4774-aec3-f5484b00a97c.jpg?resizew=205)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ac7d56df2ab02e29e12c78f3703c26.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ecc7afe00204e8a97c6b1241376119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266bc68d82a8855ec1b54a7b1d98c44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce6c0e9de83f2e64ae33609fc08459d.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知:如图,四边形ABCD是⊙O的内接矩形,AB=4,BC=3,点E是劣弧
上的一点,连接AE,DE.过点C作⊙O的切线交线段AE的延长线于点F,若∠CDE=30°,求CF的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://img.xkw.com/dksih/QBM/2019/10/17/2313874115911680/2313948260245504/STEM/dadfc901b7b349ce8df4a64c04a4af9c.png?resizew=113)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】如图,AC是⊙O的直径,点B,D在⊙O上,点E在⊙O外,∠EAB=∠D=30°.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/14/da7bdedf-4fa4-4f84-8377-efa6060151dc.png?resizew=171)
(1)∠C= ;
(2)求证:直线AE是⊙O的切线;
(3)当AB=3时,求图中阴影部分的面积.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/14/da7bdedf-4fa4-4f84-8377-efa6060151dc.png?resizew=171)
(1)∠C= ;
(2)求证:直线AE是⊙O的切线;
(3)当AB=3时,求图中阴影部分的面积.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】已知:
是
的直径,C为
上一点,将
绕着点B逆时针旋转一定的角度得到
,
交
于E点,若点D在
上,连接
交
于点F.
与
的位置关系;
(2)求证:
;
(3)若
,
,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/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6ffb78dad3375efa3b08ab518553d.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e59617707e98c3441445392333b491.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb6823a329628699619a39cde927510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4297fd1f6b4a90ec1ea2c003356812a.png)
您最近一年使用:0次