如图,在
中,
,
,延长
至点D,使
,连接
.以
为边作等腰直角三角形
,其中
,连接
.
![](https://img.xkw.com/dksih/QBM/2021/3/19/2681291038638080/2681339015749632/STEM/ef9266a08b2f41b79b3c49d99ef56fd7.png?resizew=144)
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7059ac1fdadf0bc6474d78c03ac7e121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eba7e2cb2e2390673b83bde332973d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/2021/3/19/2681291038638080/2681339015749632/STEM/ef9266a08b2f41b79b3c49d99ef56fd7.png?resizew=144)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8c5a0011c9af0c81b06e0b9b6dee3c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc3dcc4325297dac77a92c0682a6cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
更新时间:2021-03-19 17:41:06
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】已知正方形ABCD,点F是射线CD上一动点(不与C,D重合),连接BF,直线BF交直线AD于点E,交AC于点H,连接DH,过点D作DG⊥DH交BE于点G.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/8/7a8c792b-fa50-4f83-8221-626886bf713f.png?resizew=308)
(1)若点F在边CD上,如图1,求证:
;
(2)若点F在边CD的延长线上,试在图2中补全图形,并猜想
的形状(不需要证明);
(3)取CF的中点M,连接MG,若
,正方形的边长为3,求CF的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/8/7a8c792b-fa50-4f83-8221-626886bf713f.png?resizew=308)
(1)若点F在边CD上,如图1,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9052e8b10b879a92261b555ad9b2d26.png)
(2)若点F在边CD的延长线上,试在图2中补全图形,并猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d480e8b2c516612b47a19cb62d9bb0.png)
(3)取CF的中点M,连接MG,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611479f2b6861e4429a49665d51d2684.png)
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解答题-证明题
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(0.65)
名校
【推荐2】如图,A、B是
上的两个点,连接
、
点C,D是
、
上靠近圆心O的三等分点,点E、F是
的三等分点,连接
,
,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/faf2e5aa-5206-4f4c-87ec-becffc1a4722.png?resizew=161)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9b11f2ea112fff1885811bd5bc73cc.png)
(2)连接
,
,请你判断
,
的位置关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/faf2e5aa-5206-4f4c-87ec-becffc1a4722.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9b11f2ea112fff1885811bd5bc73cc.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐1】如图,AB=AC=AD,AD∥BC.探索∠C与∠D的数量关系?并说明理由.
![](https://img.xkw.com/dksih/QBM/2019/10/16/2313270381805568/2317446562365440/STEM/5ba59a19c5ac404588ac23bf36afd9f4.png?resizew=148)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】如图,
为
直径,
为弦,D为
外的点,且
为
的切线,过D作
于点E,交
于点F,延长
交
的延长线于点H.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/98e5e464-e9d9-4a99-86c9-b86116c2549d.png?resizew=219)
(1)求证:
;
(2)若E为
的中点,
,
,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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504cf35247693ceb766c3b85a4ab2a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/13/98e5e464-e9d9-4a99-86c9-b86116c2549d.png?resizew=219)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c91348119d864bf3e59098e837abd1.png)
(2)若E为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477d4609044dec1bda47f13a68b34dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97bd4aac938fe1d8e3492dc19901f22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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