如图,在等腰三角形
中,
,点P在
平分线
上,过点P作线段
分别交
,
于点E,F,已知
.
.
(2)若
,F是
的中点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5789dad89570f81af126abb5d2dfd241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3925bb5dec03b3f37043e5d953d6a245.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a92d8281b65b3a28af648d583b0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
2023·浙江杭州·二模 查看更多[6]
2023年浙江省杭州市萧山区中考二模数学试题陕西省西安市西安交通大学附属中学分校2023-2024学年九年级上学期第一次月考数学试题(已下线)2023年杭州二模(几何综合2)陕西省西安市交通大学附属中学2023-2024学年九年级上学期第一次月考数学试题(已下线)第03讲 相似三角形的性质(知识解读+真题演练+课后巩固)-2023-2024学年九年级数学下册《知识解读·题型专练》(人教版)2023年浙江省杭州市余杭区联盟学校中考数学模拟预测题
更新时间:2023-06-01 17:58:00
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相似题推荐
解答题-计算题
|
适中
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【推荐1】如图①,已知∠AOB=100°,∠BOC=60°,OC在∠AOB外部,OM、ON分别是∠AOC、∠BOC的平分线.
(1)求∠MON的度数.
(2)如果∠AOB=α,∠BOC=β,其它条件不变,请直接写出∠MON的值(用含α,β式子表示).
(3)其实线段的计算与角的计算存在着紧密的联系.如图②,已知线段AB=a,延长线段AB到C,使BC=m,点M、N分别为线段AC、BC的中点,求线段MN的长(用含a,m的式子表示).
(1)求∠MON的度数.
(2)如果∠AOB=α,∠BOC=β,其它条件不变,请直接写出∠MON的值(用含α,β式子表示).
(3)其实线段的计算与角的计算存在着紧密的联系.如图②,已知线段AB=a,延长线段AB到C,使BC=m,点M、N分别为线段AC、BC的中点,求线段MN的长(用含a,m的式子表示).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/7cec7483-f3c9-4c6a-bb1c-78a336c8b0ee.png?resizew=564)
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【推荐2】综合与实践
动手操作:
第一步:把我们常用的一副三角尺按照如图1所示的方式摆放,两块三角尺的直角边
,
摆放在同一直线上,图中
,
,
.
第二步:把图1所示的
绕点
顺时针旋转得到
(如图2).
第三步:把图3所示的两块三角尺的直角边
,
摆放在同一直线上,另一条直角边
,
也放在同一条直线上,再把
绕点
顺时针旋转一周.
问题解决:
(1)如图1,
的度数是_______.
(2)如图2,当
平分
时,求
的度数.
(3)如图3,当
旋转多少度时,
,请你说明理由.
动手操作:
第一步:把我们常用的一副三角尺按照如图1所示的方式摆放,两块三角尺的直角边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ca72acafcbb5d946711d6b50c7cb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099026716ee1821dd7d9f157dc055f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e744f480e11f588570c5d6738799f5.png)
第二步:把图1所示的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17feedef8b38275d0b9bf982a5478ec.png)
第三步:把图3所示的两块三角尺的直角边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
问题解决:
(1)如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
(2)如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17cf8e6bfbe3b365f8e9278cc469d2b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb3dd0a5fcda9933afab5baf4ec4488.png)
(3)如图3,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://img.xkw.com/dksih/QBM/2021/6/27/2751965102292992/2817021584244736/STEM/77079097-9372-4644-ba5e-7c6471ce9270.png)
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解答题-问答题
|
适中
(0.65)
【推荐1】如图,已知
中,
,
,
是
的中点,
于点
,
与
的延长线交于点
.
![](https://img.xkw.com/dksih/QBM/2023/6/18/3262407863959552/3262446593900544/STEM/c5c8805108bd42e380697b014fc8aaf6.png?resizew=138)
(1)求
的正切值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eeb0c8df3d8c5260768c5e407b3583a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b939af5ba06e279cce39396aaf0fae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd657e48b15b9b54a55817e2c26b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2023/6/18/3262407863959552/3262446593900544/STEM/c5c8805108bd42e380697b014fc8aaf6.png?resizew=138)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0adb2ce8ae23fe6d06d569c9f75be3.png)
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解答题-问答题
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适中
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【推荐2】如图,等腰
中,
,
,请探究下列问题:
(1)求
的面积;
(2)若点P以每秒
的速度从点A出发,沿折线
方向运动,运动到点C时停止,设运动时间为t秒.
①当点P在线段
上运动时,线段
的长度何时最短?求出此时t的值.
②当t为何值时,
为等腰三角形?(直接写出结果)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bbc68f2a65aea126b6e0d2c1081037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c545764505bb00578a870c5e39493a3e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/12/40e3b880-2e02-42b8-a2db-4c6c94b0e52a.jpg?resizew=231)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若点P以每秒
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cc6293cfedec30b124ece908c4c438.png)
①当点P在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
②当t为何值时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147de24f071e316b68fd2e78e3c84545.png)
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解答题-证明题
|
适中
(0.65)
【推荐1】如图,在正方形
中,点
是边
上的点,点
在边
上,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/19/0ca674ec-c54e-46fb-8a58-aea1e1aca053.png?resizew=262)
(1)求证:
;
(2)若
,延长
交
的延长线于点
,求
的长.
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee98a0cb286c6323b0285e021024d4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d44584fd148c9b28da7b311798bfba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/19/0ca674ec-c54e-46fb-8a58-aea1e1aca053.png?resizew=262)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f84d22bff850ead07a39d681aee77f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
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解答题-证明题
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适中
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【推荐2】如图,在Rt△ABC中,∠C=90°,点O在AB上,经过点A的⊙O与BC相切于点D,与AC、AB分别相交于点E、F,连接AD与EF相交于点G.
![](https://img.xkw.com/dksih/QBM/2020/9/23/2556041705406464/2557169606164480/STEM/465f36fb99154ccc9bea7864da678fa8.png?resizew=194)
(1)求证:AD平分∠CAB;
(2)若OH⊥AD于点H,FH平分∠AFE,试判断DF与DH的数量关系,并说明理由.
![](https://img.xkw.com/dksih/QBM/2020/9/23/2556041705406464/2557169606164480/STEM/465f36fb99154ccc9bea7864da678fa8.png?resizew=194)
(1)求证:AD平分∠CAB;
(2)若OH⊥AD于点H,FH平分∠AFE,试判断DF与DH的数量关系,并说明理由.
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