巧构等腰，妙证全等——培养学生添加辅助线的能力_OpenScirbe Publishing

Online Submission Pre-typesetting Academic Support

Home > Wen Yuan (Middle School Edition) > 2025 No.07 > 巧构等腰，妙证全等——培养学生添加辅助线的能力

巧构等腰，妙证全等——培养学生添加辅助线的能力

Author(s)：
马汪舰

Publication Title：

Wen Yuan (Middle School Edition) 2025 No.07

Affiliations：
大连市第七十九中学

Abstract：
初中阶段图形与几何领域包括“图形的性质”、“图形的变化”和“图形的坐标”三个主题。其中图形的性质强调通过实验探究、直观发现、推理论证来研究图形、理解图形。本文浅谈如何利用轴对称变化规律和变化中的不变量，培养学生用三种思路添加辅助线，构造等腰三角形为进一步证明全等三角形创造条件的能力。这样的学习过程有助于学生在具备空间观念的基础上，进一步建立几何直观，提升抽象能力和推理能力。

Keywords：
全等三角形；等腰三角形；初中数学；解题技巧

Views
7

Citations
0

Downloads
0

Favorites
0

Full Text

Download PDF

Cite

Favorited

Favorite

Share via WeChat

Scan to share on WeChat

Mobile Reading

Scan to read on mobile

Cite

Copy

[1] 马汪舰.巧构等腰，妙证全等——培养学生添加辅助线的能力[J].Wen Yuan (Middle School Edition),2025(07),.

文渊(中学版)

Wen Yuan (Middle School Edition)

Language: 中文

CN：11-9275/G

ISSN：2096-627X

Publication Frequency: 月刊

Recommended Articles

Friendship Link

An academic processing and support platform focusing on journal databases, submission and review, and pre-typesetting.

OpenScirbe Publishing: Pre-typesetting; Article Retrieval

News: Latest news; Industry news

Academic Support: Language editing; Translation; International dissemination

Journal: Wen Yuan (Primary School Edition); Wen Yuan (Middle School Edition); Wen Yuan (High School Edition); Urban and Rural Studies

Contact Us

027-59496650

Office

Room 510, Office Tower, Optics Valley Financial Center, 668 Gaoxin Avenue, Donghu New Technology Development Zone, Wuhan, Hubei Province

User Agreement Privacy Policy

鄂ICP备2026003587号-1 copyright 2026 All rights reserved. Tel:027-59496650 鄂公网安备42018502009073号