如图,在△ABC中,∠A=36°,AB=AC,AB的垂直平分线交AB于点O,交AC于点D,连接BD,下列结论错误的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/4a4c4e22-9122-4aca-9df5-38a444782c19.png?resizew=108)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/4a4c4e22-9122-4aca-9df5-38a444782c19.png?resizew=108)
A.BD平分∠ABC | B.∠C=2∠A | C.AB=CD+BC | D.S△BCD=S△BOD |
更新时间:2022-10-02 16:29:38
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【推荐1】如图,一副分别含有30°和45°角的两个直角三角板,拼成如下图形,其中∠C=90°,∠B=45°,∠E=30°,则∠BFD的度数是【 】
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/3f67a193-5ff1-45eb-8729-217c254d135c.png?resizew=116)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/3f67a193-5ff1-45eb-8729-217c254d135c.png?resizew=116)
A.15° | B.25° | C.30° | D.10° |
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【推荐2】适合下列条件的
中,直角三角形的个数为( )个
①
;
②
;
③
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d351a99b6e26422514b648b3643516d.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae88683f0d47128c1d43fc03d09e634.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad66c3b95387953e0fced0672ae6c5b.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/164cafda9f089376f81b86953145cfad.png)
A.1 | B.2 | C.3 | D.4 |
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【推荐1】如图,已知
为⊙O外一点,连接
交⊙O于点
,且
,求作一条直线
,使
与⊙O相切.以下是甲、乙两位同学的作业.
甲:作
的垂直平分线,交⊙O于点
,则直线
即为所求.
乙:取
的中点
,以
为圆心,
长为半径作圆,交
于点
,则直线
即为所求.
对于两人的作业,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a0962754064a8631e4ed7ad150c416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
甲:作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
乙:取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
对于两人的作业,下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/22/44c8bfb4-cfe6-4d80-aa0e-868de9b8301f.png?resizew=179)
A.两人都对 | B.两人都不对 | C.甲对,乙不对 | D.甲不对,乙对 |
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【推荐2】如图,在矩形
中,对角线
的垂直平分线
交
于点M,交
于点N,交
于点O,连接
.若
,
,则
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/10/1fb22e35-49db-4885-a607-745a8ae8d521.png?resizew=179)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e85d4a2731b58c2ed1c0a16c8f08500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4eee27270cf534cde87f3bebd2c52da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/10/1fb22e35-49db-4885-a607-745a8ae8d521.png?resizew=179)
A.6 | B.8 | C.10 | D.12 |
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【推荐1】如图,
中,
,
是
边上的高,
是
延长线上一点,
平分
,若
,
,
,则下列等式一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88dc4d22c2c289f6d4494b9c2be84407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa375c3888b332f24e7d0f9b9600c694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e0b953794b3f82baa39642a29a07dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2b4164981ad7d27a43c6ec2c0dcd5a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/26ff6d1a-22c3-412e-ac53-2be49fb9ff73.jpg?resizew=172)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,抛物线
交
轴于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
, 对称轴为
,与
轴的另一个交点为
,
为抛物线的顶点.下列结论:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
;②
;③
;④
;⑤若
是等腰直角三角形,则
.其中结论正确的个数有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc90b02a4cd1425aabfc192b1cdee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b3c94d505e7c5bcce94afec4af3d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679353e656a54993c041ebd39ec7b31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57c13cec08993ae8fde867008257c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a68ffb9bf77cb1facd741e6a1fa1efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa43dc5526246cef3b3a0494c9504d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd6123c9b8bc21bb4fa3d4b8c9fe353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f498b6874410fb46e9807e04371e6e5e.png)
A.2个 | B.3个 | C.4个 | D.5个 |
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【推荐1】如图,
中,
,
为
中点,延长
交
于点
,其满足
,
为
上一点,且
于点
.下列判断:①线段
是
的角平分线;②
是
边
上的中线;③线段
是
的边
上的高;④
.其中判断正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2019/11/11/2331599100395520/2331862612992000/STEM/d666337deb2d454c903414e5153f6fc7.png?resizew=211)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.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/d320f180419175d75eebc618cc458b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b62ce0cbffa4758c7a0e6fb7ca4d24e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3814287dbb60d478bffc5366f9928b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5e1441a49e782ff0ef46e776cde06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24e9da4baf5f37f723a7577d2cb30f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ed1b118fc686de003117247814a341.png)
![](https://img.xkw.com/dksih/QBM/2019/11/11/2331599100395520/2331862612992000/STEM/d666337deb2d454c903414e5153f6fc7.png?resizew=211)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】下列说法错误的是( )
A.三角形的角平分线把三角形分成面积相等的两部分 |
B.三角形的三条中线相交于一点 |
C.直角三角形的三条高交于三角形的直角顶点处 |
D.钝角三角形的三条高所在直线的交点在三角形的外部 |
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