1 . 已知直角三角形周长为
,一锐角平分线分对边为3:5两部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/15819737-6aa9-4c81-ac40-9cf2e8d0f6a7.png?resizew=128)
(1)求直角三角形的三边长;
(2)求两直角边在斜边上的射影的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2442fce668d789c1019394a11ffa6450.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/8/15819737-6aa9-4c81-ac40-9cf2e8d0f6a7.png?resizew=128)
(1)求直角三角形的三边长;
(2)求两直角边在斜边上的射影的长.
您最近一年使用:0次
2 . 如图所示,
为
斜边
边上的中线,
,
,连接
交
于点
,
,
.求证:
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519667712/STEM/ee65ac7e5fc04485a9011cf8b6e685c1.png)
(1)
∽
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa8cee7d2463f6f7d352e8b65f47cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6d946ec5bc75341f7e5fe400054464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c3f12229161dd431f7ffdbe7bcfe0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519667712/STEM/ee65ac7e5fc04485a9011cf8b6e685c1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f90188bd10aabf5f6faf7dd4bdf2ae.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ce838f38419e8781d63b3417cac5e4.png)
您最近一年使用:0次
3 . 如图所示,
为
中边
上的一点,
,若
,
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f882015c2d5916210b4ebafffd4b2a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de006cef9e5efbcbf74229845804650.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519634944/STEM/3b6d2711edc24cd6b2a0f47c2adba944.png)
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4 . 如图所示,在等腰三角形
中,
,
为
延长线上一点,
为
延长线上一点,且满足
.
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519610368/STEM/fe4c6a8cbbaf490ca3b26ee8b5f79614.png)
(1)求证:
∽
;
(2)若
,求
的读数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a840d22a45b6f994cf2dbdddd5e1abc.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519610368/STEM/fe4c6a8cbbaf490ca3b26ee8b5f79614.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504388564cf808feff52c16bae297a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad7be678f22aed46fbd0465379fb9e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10ad623f3a05ecdc27b3f3e0169669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
您最近一年使用:0次
5 . 如图,已知
,
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a346479ae8f643dd18f385648d0600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f9ee807cb52bc5d418db8d63d932f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f580777b76f1e68deb25839cd4c233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2a9f69ea5ae75ba7cfbc271f4db966.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519585792/STEM/24ce0dd7dc184fd3bde4105d41c955a0.png)
您最近一年使用:0次
6 . 已知:如图所示,
,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8621d8d46c0ef8ed2548d6773b13a479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56129401e458ce0cc2370296a516340.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519561216/STEM/390367b644fb4367903337893430296e.png)
您最近一年使用:0次
7 . 在
中,
是
的中点,过点
作
,交
于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/95a078495ba47076ccaa28b46f765d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a19338598965bb3856cdd0236bbf694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
您最近一年使用:0次
8 . 若两个相似的三角形的对应高度的比为2:3,且周长的和为
,则这两个相似三角形的周长分别为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37d5f0199521c0068527c96b54689a4.png)
您最近一年使用:0次
9 . 如图所示,在
中,
为
上一点,
,连接
,且
交与点
,则
等于
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519356416/STEM/78582123b1df4d2f8e39a79853a47dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8abc2564d10cfa058a8d42677c225168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388984e5fdc47af1f0538b658d16694a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8fae5286f4db94b807b631ff00c45b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4da3fb95c834a18fc66ec45efa4ef03.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519356416/STEM/78582123b1df4d2f8e39a79853a47dd1.png)
A.4:10:25 | B.4:9:25 |
C.2:3:5 | D.2:5:25 |
您最近一年使用:0次
10 . 如图所示,在
中,
是
的中点,
平分
,
,若
,
,则
的长为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519323648/STEM/17a64e157b3b48aca3abb8634c7c647e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82579abfc42e714912f3897067b45086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4b1fdfa6c28c7b4113ba306547aa4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d1db984d94f60d33a95c1b112536ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519323648/STEM/17a64e157b3b48aca3abb8634c7c647e.png)
A.2 | B.2.5 |
C.3 | D.3.5 |
您最近一年使用:0次