[问题初探]
数学活动课上,李老师将一副三角尺按图1所示位置摆放.分别作出
,
的平分线
,
.然后提出问题:求
的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/d0bcabe8-1889-4704-baa0-0d317cdf9d9b.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/a2ed8f4e-3b29-41c9-a4ea-a4b3d9e28ab8.png?resizew=147)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/90102de7-09fe-426b-b196-9df1df50af11.png?resizew=87)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/0617542e-5f03-47f2-a1ae-4e1bd964c86b.png?resizew=133)
图1 图2 图3 图4
(1)①“智慧小组”的同学决定从特例入手探究老师提出的问题,他们将三角尺分别按图2、图3所示的方式摆放,
和
仍然是
,
的平分线,
和
在同一直线上.分别计算出图2,图3中
的度数,发现
的度数均为
.
②探究完图2,图3所示的特殊位置问题后,“智慧小组”的同学猜想出图1中
的度数应该与图2,图3中
的度数相同.他们经过合作交流后发现,在图2,图3中
和
的度数都已知或能求出具体的度数,但图1中,
和
求不出具体的度数,所以想到了用字母表示数.如果设
,则可以用含
的式子表示
和
,然后利用角的和与差,就能求出
的度数.请你根据“智慧小组”的思路,求出图1中
的度数.
[类比分析]
(2)受到“智慧小组”的启发,“创新小组”将三角尺按图4所示方式摆放,分别作出
,
的平分线
,
.他们认为利用同样方法也能求出
的度数.请你求出
的度数.
[学以致用]
(3)如图5,已知点
在线段
上,
.点
在线段
上,点
在线段
延长线上,且
,若
,求
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/0e54c677-5c30-4e76-a82d-cb2df83ef888.png?resizew=290)
数学活动课上,李老师将一副三角尺按图1所示位置摆放.分别作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d29e7c4d6216690152430b09f9cf0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536622a5ea1ab50a92052e0ef2c5dd4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/d0bcabe8-1889-4704-baa0-0d317cdf9d9b.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/a2ed8f4e-3b29-41c9-a4ea-a4b3d9e28ab8.png?resizew=147)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/90102de7-09fe-426b-b196-9df1df50af11.png?resizew=87)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/0617542e-5f03-47f2-a1ae-4e1bd964c86b.png?resizew=133)
图1 图2 图3 图4
(1)①“智慧小组”的同学决定从特例入手探究老师提出的问题,他们将三角尺分别按图2、图3所示的方式摆放,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d29e7c4d6216690152430b09f9cf0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536622a5ea1ab50a92052e0ef2c5dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536622a5ea1ab50a92052e0ef2c5dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
②探究完图2,图3所示的特殊位置问题后,“智慧小组”的同学猜想出图1中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536622a5ea1ab50a92052e0ef2c5dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536622a5ea1ab50a92052e0ef2c5dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d29e7c4d6216690152430b09f9cf0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d29e7c4d6216690152430b09f9cf0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3fc7d8f163a92a746518fb8f6d735d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d29e7c4d6216690152430b09f9cf0c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536622a5ea1ab50a92052e0ef2c5dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536622a5ea1ab50a92052e0ef2c5dd4.png)
[类比分析]
(2)受到“智慧小组”的启发,“创新小组”将三角尺按图4所示方式摆放,分别作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ff1350bd72625328c85c3097cd85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d19f963f7c803bcfcbb265ec6d4304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a54e7b35c73ee578c4d01479ddb74cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a54e7b35c73ee578c4d01479ddb74cc.png)
[学以致用]
(3)如图5,已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e6ca1f0d3577fc45d0dcc959af6471.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0584568387d42bb65fff6fe354f1117a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5028609b9f06835cbfa23b56ce34eb6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10517f770b668568191d1228f21eb30.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/0e54c677-5c30-4e76-a82d-cb2df83ef888.png?resizew=290)
图5
更新时间:2024-01-13 15:44:27
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解答题-问答题
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【推荐1】如图1,点C在线段AB上,图中共有三条线段AB、AC和BC,若其中有一条线段的长度是另外一条线段长度的2倍,则称点C是线段AB的“巧点”.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/5ffb15c0-54ee-42d1-8764-23c60a6062a2.png?resizew=266)
(1)线段的中点 这条线段的“巧点”;(填“是”或“不是”)
(2)若AB=15cm,点C是线段AB的巧点,则AC= cm;
(3)如图2,已知AB=15cm,动点P从点A出发,以3cm/s的速度沿AB向点B匀速移动;点Q从点B出发,以2cm/s的速度沿BA向点A匀速移动,点P、Q同时出发,当其中一点到达终点时,运动停止,设移动的时间为t(s).当t为何值时,A、P、Q三点中其中一点恰好是另外两点为端点的线段的巧点?并说明理由.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/5ffb15c0-54ee-42d1-8764-23c60a6062a2.png?resizew=266)
(1)线段的中点 这条线段的“巧点”;(填“是”或“不是”)
(2)若AB=15cm,点C是线段AB的巧点,则AC= cm;
(3)如图2,已知AB=15cm,动点P从点A出发,以3cm/s的速度沿AB向点B匀速移动;点Q从点B出发,以2cm/s的速度沿BA向点A匀速移动,点P、Q同时出发,当其中一点到达终点时,运动停止,设移动的时间为t(s).当t为何值时,A、P、Q三点中其中一点恰好是另外两点为端点的线段的巧点?并说明理由.
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【推荐2】如图,直线l上依次有三个点A、B、C,
,
.点M从点A出发,沿直线l以每秒
的速度向点C运动,到达点C后立即原速返回到点A;同时,点N从点B出发,沿直线l以每秒
的速度向点C运动,到达点C后停止.运动过程中,若
(n为大于1整数),则称
是
的“n分时刻”.设点M的运动时间为
.
![](https://img.xkw.com/dksih/QBM/2023/2/26/3183190337544192/3188830722031616/STEM/7789b0c241364885958475eb7dca82a7.png?resizew=414)
(1)当M点与N点重合时,t= ;
(2)当
时,
是
的“ 分时刻”;
(3)若
是
的“8分时刻”,求t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e04947c608f4b7f67b18e8decb05f70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d68a7c1620c784fc641700fa004a8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd6f4250ca6b1b9bce234a01f00d44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8a7e911e72e156da7903b313f08273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1a48b92c61d209d0556e4cd8fdb70b.png)
![](https://img.xkw.com/dksih/QBM/2023/2/26/3183190337544192/3188830722031616/STEM/7789b0c241364885958475eb7dca82a7.png?resizew=414)
(1)当M点与N点重合时,t= ;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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【推荐3】若已知两点之间的所有连线中,线段最短,请尝试解决下面的问题
问题:(1)已知正方形的顶点
处有一只蜘蛛,
处有一只小虫,如图所示,请你找出由
到
的最短路径,并在右侧空白处画出示意图.
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638720685817856/1645223351443456/STEM/f280ce34d3e5482daefc182f904d3a7a.png?resizew=92)
问题:(2)已知在圆锥底面圆上点
处有一只蜘蛛,它绕圆锥的侧面一周再次回到点
处,请你画出最短路径示意图.并画出距离顶点
最近时的点
的位置.
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638720685817856/1645223351443456/STEM/e0d73b4a35db4ac19453217b30fff398.png?resizew=128)
问题:(3)某同学的茶杯是圆柱形,旁边还紧挨着一个正方体盒子,如图是茶杯和盒子的立体图,茶杯与盒子一样高.在圆柱侧面中间
处有一只蚂蚁,他发现正方体一条棱的中点
处有食物,但考虑独自又搬不动,于是先到
处叫同伙,再直接爬行到
处搬食物.如果蚂蚁爬行路线从
最短,请用平面展开图画出这条最短路线图.
问题:(1)已知正方形的顶点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638720685817856/1645223351443456/STEM/f280ce34d3e5482daefc182f904d3a7a.png?resizew=92)
问题:(2)已知在圆锥底面圆上点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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![](https://img.xkw.com/dksih/QBM/2017/3/7/1638720685817856/1645223351443456/STEM/e0d73b4a35db4ac19453217b30fff398.png?resizew=128)
问题:(3)某同学的茶杯是圆柱形,旁边还紧挨着一个正方体盒子,如图是茶杯和盒子的立体图,茶杯与盒子一样高.在圆柱侧面中间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bac74efee57abac94990d18a005dc5.png)
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638720685817856/1645223351443456/STEM/2b524c47ab9e49618a27858d361a5fa8.png?resizew=145)
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【推荐1】如图1,点O在直线AB上,∠AOC=30°,将一直角三角板的直角边OM与OA重合,ON在∠COB内部.现将三角板绕O沿顺时针方向以每秒2°的速度旋转,当ON与OB重合时停止转动.设运动时间为t(s).
(1)若直角边ON将∠COB分成∠CON:∠BON=3:2,求t的值;
(2)如图2,OG为三角板MON内部的射线,在旋转的过程中,OG始终平分∠MOB,请问∠AOM与∠NOG是否存在一定的数量关系?若存在,求出改数量关系;若不存在,请说明理由.
(1)若直角边ON将∠COB分成∠CON:∠BON=3:2,求t的值;
(2)如图2,OG为三角板MON内部的射线,在旋转的过程中,OG始终平分∠MOB,请问∠AOM与∠NOG是否存在一定的数量关系?若存在,求出改数量关系;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2019/4/8/2177860109385728/2180181659705344/STEM/c9da87400007402cb2a83a360ec69341.png?resizew=301)
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解题方法
【推荐2】如图,
,
为其内部一条射线.
![](https://img.xkw.com/dksih/QBM/2020/3/1/2410191777144832/2410242197356544/STEM/775068be-3289-40fd-9ec5-39f670f52cdf.png)
(1)若
平分
,
平分
.求
的度数;
(2)若
,射线
从
起绕着
点顺时针旋转,旋转的速度是
每秒钟,设旋转的时间为
,试求当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113db19f4ad8ad2b211b5d63972106d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0808513578628793b585c931c6709405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77603496a315e39db671c0c1e4256cc5.png)
时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fda71562f4f7207ad317e6ce37a8566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://img.xkw.com/dksih/QBM/2020/3/1/2410191777144832/2410242197356544/STEM/775068be-3289-40fd-9ec5-39f670f52cdf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2557547eecdc826b8282058802d217.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccf6d60ba8318b72076ab8944351788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee6e4e9350a2665df8597ff8045bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113db19f4ad8ad2b211b5d63972106d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0808513578628793b585c931c6709405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77603496a315e39db671c0c1e4256cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01161e6aa258b67680d580190ac1174a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐1】如图,已知同一平面内
,
.
(1)问题发现:
的余角是_____,
的度数是_____;
(2)拓展探究:若
平分
,
平分
,则
的度数是_____.
(3)类比延伸:在(2)的条件下,如果将题目中的
改为
;
改为
,其他条件不变,你能求出
吗?若能,请你写出求解过程;若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79684a6e92297749c005e2b23cac9710.png)
(1)问题发现:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
(2)拓展探究:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbee6d5731d6f4bb1e4f2ba3d89b7dc.png)
(3)类比延伸:在(2)的条件下,如果将题目中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12cb2c84db7945da244e84dc474c1ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79684a6e92297749c005e2b23cac9710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d9b8086ab5422657e3a1554c53aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbee6d5731d6f4bb1e4f2ba3d89b7dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/3/522c7c69-e8b2-46d0-b657-05d876bbacea.png?resizew=173)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
【推荐2】如图1,已知直线
,点C为
,
内部的一个动点,连接
,
,
的平分线交直线
于点E,
的平分线交直线
于点A,
和
交于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/b8b1a783-3bf3-4ed7-bd24-e696b5b65362.png?resizew=532)
(1)
,猜想
和
的位置关系,并证明;
(2)如图2,在(1)的基础上连接
,则在点C的运动过程中,当满足
且
时,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfaad5f25944b5422c6c7e12071d6417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d19f963f7c803bcfcbb265ec6d4304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/b8b1a783-3bf3-4ed7-bd24-e696b5b65362.png?resizew=532)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4108da5935c53a3dc3f328d6e97598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)如图2,在(1)的基础上连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00a5239269d72d6f9632e7d77347106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bdd99f6772930b8dcdfcf07546efe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
您最近一年使用:0次