1 . 如图,
和
是有公共顶点的等腰直角三角形,
,点
为射线
与射线
的交点.
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036488704/STEM/25d1a4a06abc49828859ed230bf94878.png)
(1)求证:
;
(2)若
,把
绕点
旋转,
①当
时,求
的长;
②直接写出旋转过程中线段
长的最小值与最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7d5cf4f2bf91fe0f7a99f2ba358c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b0a9fdb7195907b514f3aad70a855e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036488704/STEM/25d1a4a06abc49828859ed230bf94878.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a13ebb6050fbd7f4491451ca871469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7d5cf4f2bf91fe0f7a99f2ba358c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ac7c8fa5cb10b27f2f41976780a334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
②直接写出旋转过程中线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
您最近一年使用:0次
2 . 如图,在
中,
,点
在
上,以
为半径的
交
于点
,
的垂直平分线交
于点
,交
于点
,连接
.
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036382208/STEM/8bf5fd8085c04287ba3c38290c481338.png)
(1)判断直线
与
的位置关系,并说明理由;
(2)若
,
,
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f73df2a34f270b586c550678edb94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.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/d40b319212a7e7528b053e1c7097e966.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036382208/STEM/8bf5fd8085c04287ba3c38290c481338.png)
(1)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次
3 . 如图,在
中,
,
分别为
的中点,
交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036259328/STEM/e1dd938805534722994c7209e3a0e31b.png)
(1)求证:四边形
是平行四边形;
(2)当
时,求证:四边形
是菱形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934f9b1b3bf5b1a3ef81c03aaca1700e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb2d55057f050ff719ac49596532f50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60b356c3dec22c6c5d6af51d93c127e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56bfe91a487cd635b9e075a31385322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036259328/STEM/e1dd938805534722994c7209e3a0e31b.png)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94aca49ac8b16079fc50192912a3f39.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab49764544bfc02ae2edb7b701b3c348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a94aca49ac8b16079fc50192912a3f39.png)
您最近一年使用:0次
4 . 如图,
是圆
的直径,
是圆
的切线,
交圆
于点
,过点
作圆
的切线交
于点
.
![](https://img.xkw.com/dksih/QBM/2016/9/21/1573034479370240/1573034485628928/STEM/da30e31bc8c94ffb87216553ee93ab06.png)
(1)求证:
为
的中点;
(2)
上是否存在点
,使得
?请说明理由.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/9/21/1573034479370240/1573034485628928/STEM/da30e31bc8c94ffb87216553ee93ab06.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b2134c36915b3095881dba36d2ba8e.png)
您最近一年使用:0次