将两块全等的含
角的直角三角板按图
的方式放置,已知
,
.
固定三角板
,然后将三角板
绕点
顺时针方向旋转至图
所示的位置,
与
、
分别交于点
、
,
与
交于点
.
①填空:当旋转角等于
时,
________度;
②当旋转角等于多少度时,
与
垂直?请说明理由.
将图
中的三角板
绕点
顺时针方向旋转至图
所示的位置,使
,
与
交于点
,试说明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5ae276242ebf38706c12378acc2957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5181b97a7e43959b8455680157c3b644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b94e97d085cea077cb82a0b7d2f523e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
①填空:当旋转角等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5328421f88e455d62909e5166122633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936614cdc198509a2e59fa8e7c17bb18.png)
②当旋转角等于多少度时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784c3f3b928aa34467bb73041215f7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d78f59d00f6d0df6802afd57910202.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/20/eaa7941b-7380-4f8f-8a3b-4e57edcf47cf.png?resizew=537)
17-18八年级下·四川成都·期中 查看更多[10]
【全国区级联考】四川省成都高新东区2017-2018学年八年级下学期期中考试数学试题人教版九年级上册期中综合检测数学试卷四川省资阳市2018-2019学年七年级下学期期末学业质量检测数学试题四川省资阳市雁江区2018-2019学年七年级第二学期期末数学试题山东省青岛市青岛第七中学2018-2019学年八年级下学期阶段性数学试题山东省青岛七中2018-2019学年八年级下学期期中数学试题江西省赣州市2021-2022学年九年级上学期期中数学试题四川省邛崃市第二学区2021-2022学年八年级下学期第二次月考数学试题山东省泰安市宁阳县第十一中学2021-2022学年八年级上学期第二次月考数学试题山东省济宁市汶上县南站中学2023-2024学年九年级上学期期中数学试题
更新时间:2018-11-16 07:43:18
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解答题-计算题
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适中
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【推荐1】在全民健身运动中,骑行运动颇受市民青睐.一市民骑自行车由A地出发,途经B地去往C地,如图.当他由A地出发时,发现他的北偏东
方向有一信号发射塔P.他由A地沿正东方向骑行
到达B地,此时发现信号塔P在他的北偏东
方向,然后他由B地沿北偏东
方向骑行
到达C地.
(1)
________;
(2)求A地与信号发射塔P之间的距离;
(3)求C地与信号发射塔P之间的距离.(计算结果保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dd8d5f3ed4edd857a18a27236f4d1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c12e76fbd84eeec721386bd3b04cc4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57601db9d81fffe2b6b472db94c3c5b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/1/c47dc424-4426-4d5c-b758-536d7d7a3092.png?resizew=226)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d227f1ac5510ed52df078860d736d11.png)
(2)求A地与信号发射塔P之间的距离;
(3)求C地与信号发射塔P之间的距离.(计算结果保留根号)
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【推荐2】已知:在
中,
,点D、点E在边
上,连接
、
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/5c66f153-91ef-45b5-82d8-27852e50ccdd.png?resizew=335)
(1)如图1,求证:
;
(2)如图2,当
时,过点E作
的垂线,垂足为点H.作
的平分线交
于点F,在不添加任何辅助线的情况下,请直接写出图2中是线段
长的2倍的所有线段.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/e2d212c1709b8e72a055cf1b5381ef64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/5c66f153-91ef-45b5-82d8-27852e50ccdd.png?resizew=335)
(1)如图1,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
(2)如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2b8ba81cc3c07386c93938ab37b09e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bb85d51b268f349dd633f02d05b05d.png)
您最近一年使用:0次
解答题-证明题
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适中
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【推荐1】已知:如图1,将两块全等的含
角的直角三角板按图所示的方式放置,
,点
在同一条直线上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/7d581152-5c2a-4fcc-a0be-73cf35515a98.png?resizew=909)
(1)求证:
.
(2)如图2,将
绕点
顺时针旋转
,在旋转过程中,设
与
、
分别交于点
、
,
与
交于点
.当
等于多少时,
与
垂直?请说明理由.
(3)如图3,当
绕点
顺时针方向旋转至如图所示的位置,使
,
与
交于点
,试说明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4305a685501e2497b2d37066332a5149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b832332045f639b2a16dc10323a4560d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/7d581152-5c2a-4fcc-a0be-73cf35515a98.png?resizew=909)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5181b97a7e43959b8455680157c3b644.png)
(2)如图2,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b97e1dfdbdd4141e1edf3d0cda712ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
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(3)如图3,当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d78f59d00f6d0df6802afd57910202.png)
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【推荐2】(1)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0b55c3297ce66c96d1559d76971f4.png)
(2)如图,在等边三角形
中,
,D是
上一点,且
,
绕点A旋转后得到
,求
的长度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0b55c3297ce66c96d1559d76971f4.png)
(2)如图,在等边三角形
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