高考中的數(shù)學(xué)文化

定　價(jià)：￥68.00

作　者：	齊龍新著
出版社：	電子工業(yè)出版社
叢編項(xiàng)：
標(biāo)　簽：	暫缺

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ISBN：	9787121316371	出版時(shí)間：	2017-08-01	包裝：
開本：		頁數(shù)：		字?jǐn)?shù)：

內(nèi)容簡介

　　教育部考試中心以正式文件明確提出在高考數(shù)學(xué)考題中要體現(xiàn)數(shù)學(xué)文化，這是一個(gè)明顯的信號(hào)：要求學(xué)生加強(qiáng)對數(shù)學(xué)文化知識(shí)的學(xué)習(xí)，自覺地、有針對性地重視對數(shù)學(xué)文化修養(yǎng)的提升。本書創(chuàng)新性地從“以數(shù)化人”與“人數(shù)學(xué)化”兩個(gè)角度來談數(shù)學(xué)文化，對數(shù)學(xué)文化在數(shù)學(xué)歷史、數(shù)學(xué)精神、數(shù)學(xué)應(yīng)用、數(shù)學(xué)之美、數(shù)學(xué)語言、交匯拓展、數(shù)學(xué)游戲等各個(gè)主題上都作出了全面透徹的剖析和論述。除此之外，作者還結(jié)合歷年高考數(shù)學(xué)試題進(jìn)行具體的案例分析，以此讓高考生能夠精準(zhǔn)消化吸收高考中的各種數(shù)學(xué)文化知識(shí)。對高中生而言，這是一部讓他們明確數(shù)學(xué)文化“是什么”“怎么考”“怎么練”，為備考數(shù)學(xué)文化提供清晰學(xué)習(xí)方向的寶書；對數(shù)學(xué)教學(xué)工作者或研究者而言，這是一部系統(tǒng)揭示命制背景、展示解題過程、凸顯數(shù)學(xué)文化價(jià)值的寶貴內(nèi)參書；對于廣大的數(shù)學(xué)文化愛好者而言，這又是一部讓人崇尚真理，凈化心靈，提升文化修養(yǎng)和文化品格的數(shù)學(xué)美書。

作者簡介

　　齊龍新，北京市數(shù)學(xué)特級教師，山東省教學(xué)能手，山東省新課程研修團(tuán)隊(duì)專家，山東省基礎(chǔ)教育教師培訓(xùn)專家，山東省優(yōu)質(zhì)課一等獎(jiǎng)、教育部一師一優(yōu)課一等獎(jiǎng)獲得者，現(xiàn)為北京市育英學(xué)校經(jīng)濟(jì)學(xué)實(shí)驗(yàn)班班主任。作者致力于“新數(shù)學(xué)自學(xué)輔導(dǎo)教學(xué)法”的實(shí)踐與研究，所編自學(xué)教材曾獲得山東省優(yōu)秀課程資源一等獎(jiǎng)，在日常教學(xué)實(shí)踐中也取得了非常顯著的教學(xué)效果。其微信個(gè)人公眾號(hào)“龍新數(shù)學(xué)（zxfd66）”曾經(jīng)獲得2016年數(shù)學(xué)文化雜志社主辦的攜手北大數(shù)學(xué)文化節(jié)公眾號(hào)評選全國第二名。“把數(shù)學(xué)教得通俗易懂，讓學(xué)生學(xué)得幸福有趣”是作者一以貫之的精致追求，其教學(xué)風(fēng)格獨(dú)特，教法細(xì)膩、技巧純熟，教學(xué)成績突出，與學(xué)生之間亦師亦友，深得學(xué)生的喜愛。作者教學(xué)之余寫出了數(shù)十篇教育教學(xué)論文，撰寫了《初高中數(shù)學(xué)銜接教材》等多部教研論著。

圖書目錄

第一章數(shù)學(xué)文化總論 ··················································································· 1 第一節(jié) 什么是數(shù)學(xué)文化 ········································································ 1 第二節(jié) 數(shù)學(xué)文化的四個(gè)層面 ································································· 3 一、知識(shí)系統(tǒng) ······················································································· 4 二、工具系統(tǒng) ······················································································· 4 三、價(jià)值系統(tǒng) ······················································································· 5 四、史實(shí)系統(tǒng) ······················································································· 7 第三節(jié) 數(shù)學(xué)文化的人本特性 ································································· 7 一、精神特性 ······················································································· 8 二、物質(zhì)特性 ······················································································· 8 三、行為特性 ······················································································· 9 四、審美特性 ······················································································· 9 第二章數(shù)學(xué)歷史 ························································································ 11 第一節(jié) 數(shù)學(xué)名著 ················································································ 11 一、《九章算術(shù)》 ················································································ 12 二、《數(shù)書九章》 ················································································ 19 三、《算數(shù)書》 ··················································································· 24 第二節(jié) 數(shù)學(xué)故事 ················································································ 27 一、畢達(dá)哥拉斯的故事 ········································································· 27 二、高斯的故事 ·················································································· 36 三、哥德巴赫的故事 ············································································ 41 第三節(jié) 數(shù)學(xué)名題 ················································································ 44 一、米勒問題 ····················································································· 45 二、斐波那契數(shù)列 ··············································································· 57 三、阿基米德窮竭法 ············································································ 66 四、柯西不等式 ·················································································· 73 五、角谷猜想 ····················································································· 80 六、阿波羅尼奧斯圓 ············································································ 85 七、回文數(shù) ························································································ 93 八、勾股數(shù) ························································································ 98 九、平均數(shù) ······················································································· 101 十、皮克定理 ···················································································· 108 十一、數(shù)字黑洞 ················································································· 114 十二、伯努利不等式 ··········································································· 119 十三、正整數(shù)方冪和 ··········································································· 124 十四、切比雪夫多項(xiàng)式 ········································································ 130 十五、馬爾科夫定理 ··········································································· 135 十六、四色問題 ················································································· 143 十七、萊布尼茨三角形 ········································································ 146 十八、黃金分割比 ·············································································· 151 第三章數(shù)學(xué)精神 ······················································································· 155 第一節(jié) 理性求真 ··············································································· 155 第二節(jié) 創(chuàng)新意識(shí) ··············································································· 167 第四章數(shù)學(xué)應(yīng)用 ······················································································· 177 第一節(jié) 營銷決策類 ············································································ 178 第二節(jié) 金融經(jīng)濟(jì)類 ············································································ 183 第三節(jié) 環(huán)境保護(hù)類 ············································································ 188 第四節(jié) 建設(shè)工程類 ············································································ 195 第五節(jié) 交通運(yùn)輸類 ············································································ 204 第六節(jié) 概率統(tǒng)計(jì)類 ············································································ 209 第七節(jié) 日常民生類 ············································································ 218 第五章數(shù)學(xué)之美 ······················································································· 227 第一節(jié) 和諧美 ··················································································· 227 一、結(jié)構(gòu)形式的和諧統(tǒng)一 ····································································· 228 二、項(xiàng)、項(xiàng)數(shù)、次數(shù)的和諧統(tǒng)一 ···························································· 235 三、轉(zhuǎn)換的和諧統(tǒng)一 ··········································································· 239 第二節(jié) 簡潔美 ··················································································· 242 第三節(jié) 對稱美 ··················································································· 248 第四節(jié) 奇異美 ··················································································· 253 一、解法多樣的奇異美 ········································································ 254 二、解法之巧的奇異美 ········································································ 259 第六章數(shù)學(xué)語言 ······················································································· 264 第七章交匯拓展 ······················································································· 272 第八章數(shù)學(xué)游戲 ······················································································· 276 附錄一本書習(xí)題參考答案 ········································································· 285 附錄二高考數(shù)學(xué)文化最新動(dòng)態(tài) ································································· 325 參考文獻(xiàn) ···································································································· 344