商品簡介
作者簡介
周春荔，中國數學會會員，中國數學奧林匹克首批高級教練員。數學科學方法論研究交流中心副主任。曾任首都師範大學數學系數學教育教研室主任，《數學教育學報》編委，華羅庚金杯少年數學邀請賽主試委員會副主任。一直從事初等數學與數學教育、數學方法論與數學思想史、奧林匹克數學的綜合研究與教學，有著豐富的競賽選手及教練員培訓的經驗，發表過多部數學競賽方面的著作與論文，主編或參編過許多適合中小學數學愛好者使用的教程、讀本或資料，參加過多種競賽的命題工作。北京數學奧林匹克學校的創始人之一，首任副校長，長期擔任北京數學會普及工作委員會副主任，授課深入淺出，富有啟發性.所寫的數學普及讀物和生動有趣的課堂教學很受青少年數學愛好者的歡迎.
目次
章 幾何證題知識概述 ······························································.1
1.1 命題的四種形式與充分必要條件 ············································.2
1.1.1 命題的四種形式 ························································.2
1.1.2 充分條件與必要條件 ···················································.4
1.2 分析數學題的思路 ·····························································.11
1.2.1 倒推分析思路 ··························································.11
1.2.2 分析綜合思路 ··························································.13
1.2.3 反設分析思路 ··························································.15
1.3 幾種數學解題探索方法 ·······················································.17
1.3.1 試驗發現法 ·····························································.17
1.3.2 聯想類比法 ·····························································.18
1.3.3 反例證偽法 ·····························································.19
1.3.4 數形結合的構造圖形法 ···············································.19
第二章 神奇的幾何輔助線 ·····························································.25
2.1 添加輔助線的目的 ·····························································.25
2.2 添加輔助線的原則 ·····························································.30
原則一 化繁為簡 ·····························································.30
原則二 相對集中 ·····························································.31
原則三 作圖構造 ·····························································.33
原則四 顯現特殊性 ··························································.34
2.3 名題剖析智能精華 ·····························································.35
2.4 圖形變換與輔助線 ·····························································.38
2.4.1 應用平移變換添加輔助線 ············································.39
2.4.2 反射變換添加輔助線作法 ············································.50
2.4.3 通過旋轉變換添加輔助線的作用 ···································.63
2.4.4 利用中心對稱添加輔助線 ············································.73
2.4.5 利用相似變換添加輔助線 ············································.76
2.4.6 利用等積變換添加輔助線 ············································.78
2.4.7 構造圓進行添加輔助線 ···············································.80
2.4.8 利用復合變換添加輔助線 ············································.88
2.5 綜合示範添加輔助線解題 ····················································.90
2.5.1 經典例題添加輔助線賞析 ············································.91
2.5.2 著名競賽題添加輔助線選析 ·······································.109
2.5.3 一題多證添加輔助線例談 ··········································.132
第三章 例說構造圖形解題 ···························································.141
3.1 構造圖形解幾何題 ···························································.143
3.2 構造圖形解三角題 ···························································.153
3.3 構造圖形解代數題 ···························································.162
您曾經瀏覽過的商品
購物須知
大陸出版品因裝訂品質及貨運條件與台灣出版品落差甚大，除封面破損、內頁脫落等較嚴重的狀態，其餘商品將正常出貨。
特別提醒：部分書籍附贈之內容(如音頻mp3或影片dvd等)已無實體光碟提供，需以QR CODE 連結至當地網站註冊“並通過驗證程序”，方可下載使用。
無現貨庫存之簡體書，將向海外調貨：
海外有庫存之書籍，等候約45個工作天;
海外無庫存之書籍，平均作業時間約60個工作天，然不保證確定可調到貨，尚請見諒。
為了保護您的權益，「三民網路書店」提供會員七日商品鑑賞期(收到商品為起始日)。
若要辦理退貨，請在商品鑑賞期內寄回，且商品必須是全新狀態與完整包裝(商品、附件、發票、隨貨贈品等)否則恕不接受退貨。