问题背景:如图1,在四边形
中,
,
,
.
、
分别是
上的点,且
.探究图中线段
之间的数量关系.
(1)小王同学探究此问题的方法是,延长
到点
,使
.连结
,先证明
再证明
,可得出结论,他的结论应是_______________.
(2)探索延伸:如图2,若在四边形
中,
,
.
、
分别是
,
上的点,且
.上述结论是否仍然成立?请说明理由;
(3)实际应用:如图3,在某次军事演习中,舰艇甲在指挥中心(
处)北偏西
的
处,舰艇乙在指挥中心南偏东
的
处,并且两舰艇到指挥中心的距离相等,接到行动指令后,舰艇甲向正东方向以60海里/小时的速度前进,舰艇乙沿北偏东
的方向以80海里/小时的速度前进.
小时后,指挥中心观测到甲、乙两舰艇分别到达
、
处,且两舰艇之间的夹角为
,试求此时两舰艇之间的距离?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21eb847a1722ed6e10e23c59d53fe7d3.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/15ab83ca64f40930cbb82f2a8db66052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9eb456c912e01458c19b06e83a5c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0f42ecaccd4fb74e5fac406f4014d5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/576c05d8-0553-4f22-879a-0cc42d02b177.png?resizew=454)
(1)小王同学探究此问题的方法是,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc180eda08edfb6d54eb04da7741f099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac09e961b25848c2860065aa8f577e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382dcc8aa37ed16c588b41888c3906a7.png)
(2)探索延伸:如图2,若在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173904239da66b7bef7cb1d997cc40ed.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/2a6aef04eceb608a7a2cfc3e566f9e8b.png)
(3)实际应用:如图3,在某次军事演习中,舰艇甲在指挥中心(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aa0b9869db50a9ab48cc32925d8e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb94bd9eb80fb9f5f02f518bb8f2211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8f58755aee89fb2cf72ba518dcee2a.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/16aa0b9869db50a9ab48cc32925d8e96.png)
更新时间:2024-01-24 10:05:55
|
相似题推荐
解答题-证明题
|
较难
(0.4)
【推荐1】【问题背景】如图1,在四边形
中,
,
分别是
上的点,且
,试探究图中线段
之间的数量关系.
【初步探索】小亮同学认为:如图1,延长
到点
,使
,连接
,先证明
,再证明
,可得出结论______;
【探索延伸】如图2,在四边形
中,
分别是
上的点,
,上述结论是否仍然成立?说明理由.
【结论运用】如图3,在某次军事演习中,舰艇甲在指挥中心(
处)北偏西
的
处,舰艇乙在指挥中心南偏东
的
处,并且两舰艇到指挥中心的距离相等,接到行动指令后,舰艇甲向正东方向以60海里/小时的速度前进,舰艇乙沿北偏东
的方向以80海里/小时的速度前进1.5小时后,指挥中心观测到甲、乙两舰艇分别到达
处,且两舰艇之间的夹角
为
,试求此时两舰艇之间的距离.
【灵活变通】如图4,已知在四边形
中,
,若点
在
的延长线上,点
在
的延长线上,仍然满足【初步探索】中的结论,请直接写出
与
的数量关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eea622c0362669ae9dd8e358e3834ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9eb456c912e01458c19b06e83a5c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030c278b9b5337b36c0db5c2feb014f7.png)
【初步探索】小亮同学认为:如图1,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc180eda08edfb6d54eb04da7741f099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac09e961b25848c2860065aa8f577e10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382dcc8aa37ed16c588b41888c3906a7.png)
【探索延伸】如图2,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab526d8f67ed15914043a86528d57389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6aef04eceb608a7a2cfc3e566f9e8b.png)
【结论运用】如图3,在某次军事演习中,舰艇甲在指挥中心(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aa0b9869db50a9ab48cc32925d8e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb94bd9eb80fb9f5f02f518bb8f2211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2011883ec835ed2395188c4915cb53d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aa0b9869db50a9ab48cc32925d8e96.png)
【灵活变通】如图4,已知在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6faa0a3982ab789756bbe9a1051ac05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.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/1e31edc5b71c488ca9942d70d9298f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/68e15ec5-54f7-4361-9f80-6ca0bb487de6.png?resizew=457)
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|
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名校
【推荐2】(1)问题背景:
如图1,在四边形ABCD中,AB=AD,∠BAD=120°,∠B=∠ADC=90°,E、F分别是BC,CD上的点,且∠EAF=60°,探究图中线段BE,EF,FD之间的数量关系.
小王同学探究此问题的方法是延长FD到点G,使DG=BE,连结AG,先证明△ABE≌△ADG,再证明△AEF≌△AGF,可得出结论,他的结论应是_______;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/3/e50e3050-5d92-4612-8caf-7ce62ca2e40b.jpg?resizew=455)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/3/fe90e036-a52a-4af7-909c-311ed898d9ba.jpg?resizew=134)
(2)探索延伸:
如图2,若在四边形ABCD中,AB=AD,∠B+∠D=180°,E,F分别是BC,CD上的点,且∠EAF=
∠BAD,上述结论是否仍然成立,并说明理由;
(3)结论应用:
如图3,在某次军事演习中,舰艇甲在指挥中心(O处)北偏西30°的A处,舰艇乙在指挥中心南偏东70°的B处,并且两舰艇到指挥中心的距离相等.接到行动指令后,舰艇甲向正东方向以60海里/小时的速度前进,舰艇乙沿北偏东50°的方向以80海里/小时的速度前进,1.5小时后,指挥中心观测到甲、乙两舰艇分别到达E,F处,且两舰艇与指挥中心O之间夹角∠EOF=70°,试求此时两舰艇之间的距离.
(4)能力提高:
如图4,等腰直角三角形ABC中,∠BAC=90°,AB=AC,点M,N在边BC上,且∠MAN=45°.若BM=1,CN=3,试求出MN的长.
如图1,在四边形ABCD中,AB=AD,∠BAD=120°,∠B=∠ADC=90°,E、F分别是BC,CD上的点,且∠EAF=60°,探究图中线段BE,EF,FD之间的数量关系.
小王同学探究此问题的方法是延长FD到点G,使DG=BE,连结AG,先证明△ABE≌△ADG,再证明△AEF≌△AGF,可得出结论,他的结论应是_______;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/3/e50e3050-5d92-4612-8caf-7ce62ca2e40b.jpg?resizew=455)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/3/fe90e036-a52a-4af7-909c-311ed898d9ba.jpg?resizew=134)
(2)探索延伸:
如图2,若在四边形ABCD中,AB=AD,∠B+∠D=180°,E,F分别是BC,CD上的点,且∠EAF=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(3)结论应用:
如图3,在某次军事演习中,舰艇甲在指挥中心(O处)北偏西30°的A处,舰艇乙在指挥中心南偏东70°的B处,并且两舰艇到指挥中心的距离相等.接到行动指令后,舰艇甲向正东方向以60海里/小时的速度前进,舰艇乙沿北偏东50°的方向以80海里/小时的速度前进,1.5小时后,指挥中心观测到甲、乙两舰艇分别到达E,F处,且两舰艇与指挥中心O之间夹角∠EOF=70°,试求此时两舰艇之间的距离.
(4)能力提高:
如图4,等腰直角三角形ABC中,∠BAC=90°,AB=AC,点M,N在边BC上,且∠MAN=45°.若BM=1,CN=3,试求出MN的长.
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【推荐3】问题背景:如图1,在四边形ABCD中AB=AD,∠BAD=120°,∠B=∠ADC=90°,E,F分别是BC,CD上的点且∠EAF=60°.探究图中线段BE,EF,FD之间的数量关系,小王同学探究此问题的方法心,延长FD到点G.使DG=BE.连接AG,先证明△ABE≌△ADG,再证明△AEF≌△AGF,可得出结论,他的结论应是______________;
探索延伸:如图2,若在四边形ABCD中,AB=AD,∠B+∠D=180°,E,F分别是BC,CD上的点,且∠EAF=
∠BAD,上述结论是否仍然成立,请说明现由;
实际应用:如图3,在某次军事演习中,舰艇甲在指挥中心(O处)北偏西30°的A处,舰艇乙在指挥中心北偏东60°的B处,并且两舰艇到指挥中心的距离相等,接到行动指令后,舰艇甲向南偏东75°方向以40海里/小时的速度前进,舰艇乙沿北偏西75°的方向以30海里/小时的速度前进,前进2小时后,指挥中心观察到甲、乙两舰艇分别到达E,F处,且E处在指挥中心北偏东8°方向,F处在指挥中心北偏东53°方向,试求此时两舰艇之间的距离.
探索延伸:如图2,若在四边形ABCD中,AB=AD,∠B+∠D=180°,E,F分别是BC,CD上的点,且∠EAF=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
实际应用:如图3,在某次军事演习中,舰艇甲在指挥中心(O处)北偏西30°的A处,舰艇乙在指挥中心北偏东60°的B处,并且两舰艇到指挥中心的距离相等,接到行动指令后,舰艇甲向南偏东75°方向以40海里/小时的速度前进,舰艇乙沿北偏西75°的方向以30海里/小时的速度前进,前进2小时后,指挥中心观察到甲、乙两舰艇分别到达E,F处,且E处在指挥中心北偏东8°方向,F处在指挥中心北偏东53°方向,试求此时两舰艇之间的距离.
![](https://img.xkw.com/dksih/QBM/2022/1/15/2895174462529536/2971010946490368/STEM/f315414f-b6a6-4854-b8ff-85c00710a7e4.png?resizew=558)
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【推荐1】如图,在
中,D为AB边上一点、F为AC的中点,过点C作
交DF的延长线于点E,连结AE.
![](https://img.xkw.com/dksih/QBM/2021/6/11/2740640957988864/2768877199704064/STEM/e2229833d0324f33a5f4f95349fe2566.png?resizew=128)
(1)求证:四边形ADCE为平行四边形.
(2)若
,
,
,求DC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e40e939cffbcc5d184ee668be120b3.png)
![](https://img.xkw.com/dksih/QBM/2021/6/11/2740640957988864/2768877199704064/STEM/e2229833d0324f33a5f4f95349fe2566.png?resizew=128)
(1)求证:四边形ADCE为平行四边形.
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a3b90f9fb4eed1e6ed66f3fb65dc52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a880cda1e92bc0288c7db237f17c3f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd32d2db65c6c30f0981cf6b21ab94bd.png)
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【推荐2】如图1,两块全等的直角三角板
、
拼在一起.
,
,
,第二块直角三角板
的边
分别与
在同一条直线上,把
绕点A顺时针方向旋转
,
分别与边
相交于F、E.
(1)如图2,
时,
______;
与
的大小关系是
_____
(填“
”“
”或“
”).
(2)如图3,旋转过程中
时,①中
与
的大小关系还成立吗?证明你的结论.
(3)设
,
的面积为y,求y关于x的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276f64bcfa74b44c5ef5ca88fc8208f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22941aaf779bffae8366b105306b42b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a818bcc96a0766610c6387695c93a8d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b14fa212bbddd28310d463fcdef7e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb2c8786b3375fa19b35cd9343a9b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca403a4c7555566cd2a340a2768c2be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b14fa212bbddd28310d463fcdef7e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e966cdea48e3cc1956e84f770ea8c2ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/9b59df7d-da17-4c43-9309-ad2622df488f.jpg?resizew=151)
(1)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c96cb3ac8290e09c55d4eb336a8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b234247c391b40abc09a5f810eb4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b234247c391b40abc09a5f810eb4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/36698d16-30ad-4069-99c5-1044993e3308.jpg?resizew=117)
(2)如图3,旋转过程中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50515b0461f55861fd28f2774a2f01dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b234247c391b40abc09a5f810eb4c4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/714aacba-1322-4df5-bf91-8b5a80ee9ca8.jpg?resizew=123)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0124d4c22e17a6b719cf2d0f0b305e4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ea13010e2399194be2a681310543e.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
【推荐3】定义:三角形中,连接一个顶点和它所对的边上一点,如果所得线段把三角形的周长分成相等的两部分,则称这条线段为三角形的“周长平分线”.
![](https://img.xkw.com/dksih/QBM/2021/1/25/2643704640520192/2645217584685056/STEM/751c23fe56324698999b0d346df43d2a.png?resizew=554)
(1)下列与等腰三角形相关的线段中,一定是所在等腰三角形的“周长平分线”的是_______(只要填序号);
①腰上的高;②底边上的中线;③底角平分线.
(2)如图1,在四边形
中,
,
为
的中点,
.取
中点
,连接
.求证:
是
的“周长平分线”.
(3)在(2)的基础上,分别取
,
的中点
,
,如图2.请在
上找点
,
,使
为
的“周长平分线”,
为
的“周长平分线”.
①用无刻度直尺确定点
,
的位置(保留画图痕迹);
②若
,
,直接写出
的长.
![](https://img.xkw.com/dksih/QBM/2021/1/25/2643704640520192/2645217584685056/STEM/751c23fe56324698999b0d346df43d2a.png?resizew=554)
(1)下列与等腰三角形相关的线段中,一定是所在等腰三角形的“周长平分线”的是_______(只要填序号);
①腰上的高;②底边上的中线;③底角平分线.
(2)如图1,在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1e39bfb2f4be18735fc76997a96582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c5ace226a547e68702df548b08cb5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db8b0f0ac45b16388d408a60e69bcdb.png)
(3)在(2)的基础上,分别取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de3e355bdf8b45059b964e47bd96718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1460aa3d83df61f6c411b34412135451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73be6292478fcab91f8e2397d72c559.png)
①用无刻度直尺确定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321f96c4f808afe67cf565ca74ae0351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
您最近一年使用:0次