如图,在边长相同的小正方形组成的网格中,点A、B、C都在这些小正方形的顶点上,则∠ABC的正切值是 .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/61ebcd34-42cb-4121-80c9-bd132f258412.png?resizew=123)
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更新时间:2016-12-05 16:33:28
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【推荐1】如图,在每个小正方形的边长为1的网格中,线段
的端点A,B均落在格点上.
(Ⅰ)线段
的长等于________ ;
(Ⅱ)经过点A,B的圆交网格线于点
,在
上有一点
,满足
,请用无刻度 的直尺,在如图所示的网格中,画出点
,并简要说明点
的位置是如何找到的(不要求证明)________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(Ⅰ)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(Ⅱ)经过点A,B的圆交网格线于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d218351c4ec2e9d152319fa2e52681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/2022/5/21/2984001764270080/2985558519808000/STEM/4877d99a-a022-43c1-9ab5-c0ec23e7f5e3.png?resizew=147)
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【推荐2】如图,在每个小正方形的边长为1的网格中,
的顶点A,C均落在格点上,点B在网格线上.
的长等于__ ;
(Ⅱ)以
为直径作半圆,在
的角平分线上有一点P,
上有一点Q,使
的值最小.请用无刻度的直尺,在如图所示的网格中,画出点P,并简要说明点P的位置是如何找到的(不要求证明)__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
(Ⅱ)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4da037fe7fa1dff1116c17df53a99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cd4bc82c4467023e0169762810a84e2.png)
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【推荐1】如图,直线AB的解析式为
,与双曲线
相交于A,B两点,且点A的坐标为
.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
____________ .
(2)如图,若
轴,
轴,直线
与直线
相交于点D,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6e8fb343d289461c07922963f849a9.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1783f73b23411b09a8f11f8e967c75ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffc951b49866defc7a7185bd505dcb8.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
(2)如图,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2241bd71e0c20867029e489f9ba655d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05de5eef286a1b48012246c0cf88a1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a3eb9576531c4ca1077be7cb5ef14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6e8fb343d289461c07922963f849a9.png)
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【推荐2】已知:如图,在等边
中取点
,使得
的长分别为
,将线段
以点
为旋转中心顺时针旋转
得到线段
,连接
,下列结论:①
;②
;③
;④
,其中正确的结论有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e06899dd89bc052bccd6743613412f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14fa5f8f750b50bed7cd613ca7fb1dd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
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【推荐1】如图,在正方形
中,点
,
分别在边
,
上,且
,
交
于点
,
交
于点
,
的延长线交
的延长线于点
,且
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/995f6438-af8a-403a-ab02-074d826271b1.png?resizew=234)
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796b47f816ac4e918315a57e1e37a264.png)
________ .
(2)若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9eb5d215414d2c10fcb1bf484725a7.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192155e6a3aade305b76b1eb7c75e30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/995f6438-af8a-403a-ab02-074d826271b1.png?resizew=234)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796b47f816ac4e918315a57e1e37a264.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ade06068471a9d76e32b417bef7551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7c422a19b68b8b4cd484d22897e3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9eb5d215414d2c10fcb1bf484725a7.png)
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【推荐2】如图,在Rt△ABC中,∠ACB=90°,AC=1,BC=2,D是边AB上一点.连接CD,将△ACD沿直线CD折叠,点A落在E处,当点E在△ABC的内部(不含边界)时,AD长度的取值范围是____________ .
![](https://img.xkw.com/dksih/QBM/2022/4/20/2962355841204224/2970733440860160/STEM/a3650672-d4a5-4791-849f-961c230d0c05.png?resizew=248)
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