1 . 如图,
为圆
的一条弦(非直径),
于点
,
为圆
上一点,连结
与线段
交于点
,连结
,与
的延长线交于点
,则( )
![](https://img.xkw.com/dksih/QBM/2023/4/27/3225568824074240/3307518506901504/STEM/173ab64003cd4981a1f6ebf377f6cc38.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771b610e4ddefa739a985d1e5462ce5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2023/4/27/3225568824074240/3307518506901504/STEM/173ab64003cd4981a1f6ebf377f6cc38.png?resizew=169)
A.![]() ![]() ![]() ![]() | B.![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() | D.![]() ![]() ![]() ![]() |
您最近一年使用:0次
2 . 如图1,设是一个锐角三角形,且
,
为其外接圆,
分别为其外心和垂心,
为圆
直径,
为线段
上一动点且满足
.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186354626d5a1d13b88dfb4df916947b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8110f7184b98a7e288482b367eacf7.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a1c30664a4ae2b7e7667af029cf40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d88efcc306102497629dec0a867b5d.png)
您最近一年使用:0次
3 . 已知
为等腰
斜边
上的两点,
,
,
.则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42798067d911f96e5784cb138319c907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c81f43ffb636cda0a5b17f005481cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb909eaf6572dc2a0cac7557cb91d2cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e0b5b017e227d1ec65e1d9b4630be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0825285395b846c4a159d926fd25ebcc.png)
A.3 | B.![]() | C.4 | D.![]() |
您最近一年使用:0次
2023-05-19更新
|
72次组卷
|
2卷引用:安徽省芜湖市第一中学2019-2020学年高一理科实验班自主招生数学试卷
4 . 在菱形
中,
,延长
至点P,
与
相交于点E,
与
相交于点Q,
的外接圆交
于另一点F,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f517953a21c2a45fd8465072c44bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
A.B,F,E,C四点共圆 | B.D,F,C,P四点共圆 |
C.B,C,D,Q四点共圆 | D.D,F,E,Q四点共圆 |
您最近一年使用:0次
5 . 如图,在凸四边形
中,
.E是线段
上的一点,F是线段
的中点,满足
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd5a27aa9dcb1ac22a4f8aae30ab573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c507610f462120218e2cd1894c957eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30e50e094cd2849e38859b36aad0b0c.png)
![](https://img.xkw.com/dksih/QBM/2023/4/6/3210684213288960/3210752033226752/STEM/be7d5343e6cb4f66bbc83ceb349507d7.png?resizew=191)
您最近一年使用:0次
6 . 如图,已知四边形
是正方形,K为
内一点,满足
,则
( )
![](https://img.xkw.com/dksih/QBM/2023/2/7/3169712905355264/3169837323149312/STEM/3726e22e46224beab2ba9d5cccae1899.png?resizew=231)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba003aa6b871bba674e9d21562047597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d448b11cff87ec7d20cac4ef127b0.png)
![](https://img.xkw.com/dksih/QBM/2023/2/7/3169712905355264/3169837323149312/STEM/3726e22e46224beab2ba9d5cccae1899.png?resizew=231)
A.![]() | B.![]() | C.![]() | D.以上答案都不对 |
您最近一年使用:0次
7 . 已知
是圆O的直径,C是弧
的中点,M是
中点,
于点H,则( )
![](https://img.xkw.com/dksih/QBM/2023/2/7/3169708694904832/3169832906072064/STEM/296e05ba067c4d1e83269d24e18cc852.png?resizew=215)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d1417dc1cf61b1876cb2824e03d16c.png)
![](https://img.xkw.com/dksih/QBM/2023/2/7/3169708694904832/3169832906072064/STEM/296e05ba067c4d1e83269d24e18cc852.png?resizew=215)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 凸五边形
的对角线
分别与对角线
和
交于点F和G.已知
,
和
分别为
和
的面积,则
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5aee4a64be8611e79a68aba69620635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9339449cae7b964bde54e0c966d05e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c6784571d818982d8d3fe53410bc4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdda64e2dd89a47e4f4e137c229607c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b183a631eb5d96e37e4007bd65b5cc.png)
A.![]() | B.![]() | C.![]() | D.前三个答案都不对 |
您最近一年使用:0次
9 . 设等边
的边长为1,过点C作以
为直径的圆的切线交
的延长线于点D,
,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71204e3376704fdaca1f0219a317e88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
A.![]() | B.![]() |
C.![]() | D.前三个答案都不对 |
您最近一年使用:0次
10 . 在非等边
中,
,点O,P分别为
的外心和内心,点D在边
上,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5ef638d4d0f8733e8b13e1eb43b369.png)
A.![]() | B.![]() |
C.![]() | D.B,O,P,D四点共圆 |
您最近一年使用:0次