名校
1 . 如图,四边形
内接于圆
,弧
与弧
长度相等,过
点的切线交
的延长线于
点.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce9a5842125844c78436fde416e2145.png)
![](https://img.xkw.com/dksih/QBM/2020/3/31/2431484853633024/2432207860449280/STEM/d7e7dc31b05d401aa392788f605f29c9.png?resizew=129)
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名校
2 . 已知Rt△ABC中,CD是斜边AB上的高,BE是角平分线并且与CD交于F,CH⊥EF,垂足为H,延长CH与AB交于G.
![](https://img.xkw.com/dksih/QBM/2019/4/11/2180013395902464/2181526744260609/STEM/f6e41111c6ee45219076d0203b7050e1.png?resizew=265)
(1)求证:
;
(2)若AC=2BC,求证EA=5FD.
![](https://img.xkw.com/dksih/QBM/2019/4/11/2180013395902464/2181526744260609/STEM/f6e41111c6ee45219076d0203b7050e1.png?resizew=265)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de0f9cba1248d3dd476fd1c6f0afe6d.png)
(2)若AC=2BC,求证EA=5FD.
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