1 . 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 |
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2 . 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 |
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3 . 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)
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4 . 若三角形的三条边之比为3:5:7,与它相似的三角形的最长边为
,则其余两边的长度之和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46dfb41bf21292ed4ba45d576148756.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
5 . 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)
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6 . 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
7 . 如图所示,梯形
的对角线交于点
,则下列四个结论:
∽
;
∽
;
;
.
其中正确的个数为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519307264/STEM/6d9b91637ea64a1083de3b1815b1a7a9.png)
![](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/14790b82e0b7166222bd6b00117cc1a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4459eaa92f139d29880307b21e9b7611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a152f2ae87ff9d59f0467b77529109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417d8c68aac736fa56f7fc6f6c8a07cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4258416bedf49566f1c63ffb0f9203e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6eb1f271a6908cc67f1ad6b8a34cb39.png)
其中正确的个数为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519307264/STEM/6d9b91637ea64a1083de3b1815b1a7a9.png)
A.1 | B.2 |
C.3 | D.4 |
您最近一年使用:0次
8 . 如图所示,在正三角形
中,
分别在
上,且
,
,则有
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519249920/STEM/d52142abcce345a884f8ebfcd413cb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5881068127a39caf319492b4177204f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7f4d3c66b40527658995411096d901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45087cde2d66377517a3fce5553b35.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519249920/STEM/d52142abcce345a884f8ebfcd413cb60.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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9 . 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.
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10 . 如图所示,在
中,
,若
,则
为
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519282688/STEM/c10f0c140fc442bc92594edc0d3de735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c19776b1aa97eb46e43afdf0612df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dbb4df33c9a7f7c119704a1634db83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d323d679d040502d597a63b42379632a.png)
![](https://img.xkw.com/dksih/QBM/2017/1/25/1619472519102464/1619472519282688/STEM/c10f0c140fc442bc92594edc0d3de735.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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