综合与探究.
数学活动课上,老师组织同学们展开了如下探究:
如图1,
中,
,
.点D是
边上一点,连接
,以
为直角边作
,其中
,
.
[知识初探]
兴趣小组提出的问题是:“线段
和
有怎样的数量关系和位置关系”,请你直接写出答案_________.
[类比再探]
睿智小组在兴趣小组的基础上,继续探究:如图2,若点D是BC延长线上一点,
交
于点F,其它条件不变,线段
和
有怎样的数量关系和位置关系?并说明理由.
[特例探究]
启航小组根据平时的学习经验,“当图形的位置特殊时会产生特殊的数量关系”,在图2的基础上让图形特殊化,如图3,若
平分
,其它条件不变,结果他们发现线段
与
也存在着特殊的数量关系和位置关系.请你直接写出启航小组所发现的正确结果是__________.
[归纳总结]
此综合与实践从“知识初探”“类比再探”到“特例探究”的过程中,主要体现的数学思想是________.(填正确选项代码)
A.数形结合 B.从一般到特殊 C.归纳
数学活动课上,老师组织同学们展开了如下探究:
如图1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c50d6d16f99c65005dfb950c30d760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d212c1709b8e72a055cf1b5381ef64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/156e31ae-31b7-44ef-8e47-9303447280e8.png?resizew=453)
[知识初探]
兴趣小组提出的问题是:“线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
[类比再探]
睿智小组在兴趣小组的基础上,继续探究:如图2,若点D是BC延长线上一点,
![](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/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
[特例探究]
启航小组根据平时的学习经验,“当图形的位置特殊时会产生特殊的数量关系”,在图2的基础上让图形特殊化,如图3,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc2d2dd56fcc67698c45a6e0e48f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/e2225bd8-133f-41d8-9f38-0042471a177f.png?resizew=229)
[归纳总结]
此综合与实践从“知识初探”“类比再探”到“特例探究”的过程中,主要体现的数学思想是________.(填正确选项代码)
A.数形结合 B.从一般到特殊 C.归纳
更新时间:2023-07-18 22:08:49
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相似题推荐
解答题-证明题
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名校
【推荐1】如图,在
中,
,
是斜边
上的高,角平分线
交
于点
.求证:
是等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e59b7c0d4a0b312e674b7bb061240b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/2/c5e4c57c-a602-4a59-bc44-86ea8d0ec483.png?resizew=204)
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【推荐2】把下列的推理过程补充完整,并在括号里填上推理的依据:
如图,
,
,
是
的角平分线.
试说明:
解:
是
的角平分线,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
(①___________),
又![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
(已知),
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
(②___________),
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
③___________(④___________),
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
⑤___________
(⑥___________),
又![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
(已知),
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
(⑦___________),
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
(⑧___________).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/10/7bb9d2c3-c413-426f-bb8f-f35d88829a5b.png?resizew=153)
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0f86566770c9a240ebef8bd232cc9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc3845d73e9272f20b877167895e197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
试说明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cad97dd9d9593fa01342550aba6ec47.png)
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f85f511236e5645290b9d06984558ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0f86566770c9a240ebef8bd232cc9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13727d8a0e06c867d52becf77be8704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc521258fcaeaf7acffc5ae98c3af6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564c5a21b1397c74009a0cc3aaeb113c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e519cdb0cac3981d8e9610dba507a3.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc3845d73e9272f20b877167895e197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e2d131cf4bd2f1aa71bcd23bf96534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cad97dd9d9593fa01342550aba6ec47.png)
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【推荐1】如图,在
中,
平分
,
于点F,E为
上一点,且
.
(1)求证:
;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa30a9ee227af2b387cf6e028c20d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d00572a90232e08932317af2a53767.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/2/cd7e9860-be74-4229-8546-d562a1dded70.png?resizew=170)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c175c239742c7ba8fd67a6d5f99cb1b3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55049323a18180cebcdbcc944766d631.png)
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【推荐2】【初步认识】
(1)如图①,在△ABC中,BO、CO分别平分
、
.求证:
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/1b46e84e-4cc9-4163-b88d-a38a4560c148.png?resizew=155)
【继续探索】
(2)如图②,在△ABC中,D、E是AB、AC上的点,设
,
.BO、DO分别平分
、
.
①若
,
,求
的度数;
②用含m、n的式子直接表示
的度数为______°.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/1469fa35-db7c-4370-8def-aeaf748f78ad.png?resizew=155)
(3)如图③,BO、CO分别平分
、
.射线CO与
的平分线所在的直线 相交于点H(不与点D重合).直接写出点H在不同位置时,
与
之间满足的数量关系(用含m、n的式子表示).
(1)如图①,在△ABC中,BO、CO分别平分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ebe4c425939ccbf0ff723d8c2468da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/1b46e84e-4cc9-4163-b88d-a38a4560c148.png?resizew=155)
【继续探索】
(2)如图②,在△ABC中,D、E是AB、AC上的点,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3dc62e1145e71550c6e8b55791f57c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9499452a93167d70ad361385ae814615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3e081637bcea5368cc72370bae283b.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3db09be4b196abcb7b0aa54541aeb85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3097962b1b81a3a44472bb0aabb5652e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
②用含m、n的式子直接表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/1469fa35-db7c-4370-8def-aeaf748f78ad.png?resizew=155)
(3)如图③,BO、CO分别平分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc2d2dd56fcc67698c45a6e0e48f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652829ebf2f43baff4d648a88a1d79c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22df2977de56cc69be0c1e847653d7a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/1/afd1c983-db28-4de9-ae61-4d28d92cf071.png?resizew=157)
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【推荐1】综合与探究:如图,在平面直角坐标系中,点
的坐标为
,
,
为
轴正半轴上一个动点,以
为腰,在
右侧作等腰三角形
,使
,
.
(1)求出点
的坐标.
(2)求证:
.
(3)数学活动小组进行深入探究后发现:在点
的运动过程中,
的度数总是保持不变,你同意这个说法吗?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881fe2df23c5a0fe1d1fecbe9ffa55fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467fa1170332b2e556e5f42fe6e2237c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4b97dd6e72a5ec06f44164a91b429f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ee81929c987732fcb379802eeef7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a848fe7daa9ba102a4f9e11ef19eb657.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/24/50c28c0d-4d5f-49e3-9f4e-7d59fe237d7d.png?resizew=166)
(1)求出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bca9af867bfe68a7f4ff18dc9b6bdce.png)
(3)数学活动小组进行深入探究后发现:在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
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【推荐2】在数学课上,林老师在黑板上画出如图所示的△ABD和△ACE两个三角形,并写出四个条件:①AB=AC;②AD=AE;③∠1=∠2;④∠B=∠C.请你从这四个条件中选出三个作为题设,另一个作为结论,组成一个真命题,并给予证明.
题设:___________;结论:_______.(均填写序号)
证明:
题设:___________;结论:_______.(均填写序号)
证明:
![](https://img.xkw.com/dksih/QBM/2017/9/9/1770471287980032/1770482706227201/STEM/0f2c031e02cc4868838ba573816263ac.png?resizew=160)
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【推荐1】在等边
中,
,动点P以每秒3个单位长度的速度从点A出发在射线
上运动,设点P的运动时间为t秒.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/ed7f6260-a556-4a24-a0b6-ed97e89615e3.png?resizew=389)
(1)用含t的代数式表示线段
的长;
(2)连结
,当
时,求t的值;
(3)若在线段
上存在一点D,且
.在点P运动的同时有一动点Q以每秒2个单位长度的速度从点C出发在线段
上运动,当点Q运动到点D时,立即以原速度返回至终点C,当
为等腰三角形时,直接写出t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/ed7f6260-a556-4a24-a0b6-ed97e89615e3.png?resizew=389)
(1)用含t的代数式表示线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
(2)连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfddba15eea41271e929114b41cc317.png)
(3)若在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87b2f781cafa7989d81f9bf8c42b150.png)
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解答题-问答题
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适中
(0.65)
名校
【推荐2】综合与实践:在学习《解直角三角形》一章时,小邕同学对一个角的倍角的三角函数值与这个角的三角函数值是否有关系产生了浓厚的兴趣,并进行研究.
【初步尝试】我们知道:
___________,
___________.
发现:
___________
(填“
”或“
”).
【实践探究】在解决“如图1,在
中,
,
,
,求
的值”这一问题时,小邕想构造包含
的直角三角形,延长
到点D,使
,连接BD,所以可得
,问题即转化为求
的正切值,请按小邕的思路求
的值
【拓展延伸】如图2,在
中,
,
,
.请模仿小邕的思路或者用你的新思路,试着求一求
的值.
【初步尝试】我们知道:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48af23b4652b23e304bd9981a3fbe5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70331708e009bd3473273df129320b44.png)
发现:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6f149e747d1fe53ed1b6fccf5e9013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
【实践探究】在解决“如图1,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e4346cb4003dd041a399e1c1e11e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a0d8d5d931caef192b903b43cf6b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9dd1923bb007652633a32053778cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f2fd436bfbf8a95d28bf67475a3fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c543c3ddc3723fde6bbfca3ea3b921b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429e4346cb4003dd041a399e1c1e11e9.png)
【拓展延伸】如图2,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85b8eb4f3e02fa8ab3b49def8958444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e551f3af8330e755046ed671d77e60.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/3/14273d89-dfbc-4691-9aa8-87131ab15282.png?resizew=342)
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