因為時間關係,我把 20 本縮減為 5 本。
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Day 23 ~ Day 27,我會列出五本會計學/數學相關書籍,從裡頭擷取一頁 (結果超過一頁~) 內容,然後寫一個小小的心得。
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from 博客來網路書店・我的電子書櫃「日記創挑書單」
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今天這本書是《真希望高中數學這樣教:系列暢銷20萬冊!跟著東大教授的解題祕訣,6天掌握高中數學關鍵》,作者是西成活裕, 鄉和貴,譯者是張郁萱。
https://www.books.com.tw/products/E050113778
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目錄
前言97Please respect copyright.PENANA1RSfoSEvr2
登場人物介紹97Please respect copyright.PENANArq5qpL4X7h
97Please respect copyright.PENANAWqMYq7sDNm
第一天 數學的樂趣在哪裡?97Please respect copyright.PENANAiDm7ZjNAxG
第一課 其實並不可怕的高中數學97Please respect copyright.PENANA7TxlF1Toqw
好想學真正實用的數學!97Please respect copyright.PENANAHMz1UcDQ0L
高中數學比國中數學還簡單!?97Please respect copyright.PENANAsojaoHwRaU
97Please respect copyright.PENANAI4t15w5CYZ
第二課 超精簡的創新數學課!97Please respect copyright.PENANAUagrHrT49x
果斷刪去八成教科書內容!97Please respect copyright.PENANAWsvJjdFg0R
世界首創!「西成流」數學分類法97Please respect copyright.PENANAxHWO8v3xwl
高中數學中最輕鬆的是「代數」97Please respect copyright.PENANAd0QrkFGTqB
高中數學的顛峰是「微分積分」97Please respect copyright.PENANA7BKPs2L9jc
超好用的工具「餘弦定理」97Please respect copyright.PENANAVDMNLZJnup
真正的幾何大魔王是「向量」97Please respect copyright.PENANA3wO3ISJI0z
Column文組無法理解數學的理由97Please respect copyright.PENANAi29912WPxX
97Please respect copyright.PENANACtWv2Ofcrx
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!97Please respect copyright.PENANApD38bQU8YY
第一課 速速學會統計學基礎97Please respect copyright.PENANAJD0F79pCbs
數據處理的3大必備條件97Please respect copyright.PENANAyMyTc3nxGT
為什麼增加個數很好用?97Please respect copyright.PENANAEWTtDiQgIu
「排列組合」是指什麼?97Please respect copyright.PENANAY94ra7vFWG
看離散程度的「標準差」97Please respect copyright.PENANAArljyrypZP
97Please respect copyright.PENANAnzX3oikYX0
第二課 記住「數列相加」的方法97Please respect copyright.PENANAF3B1GK2LDw
天才高斯少年發現的「倒序相加」97Please respect copyright.PENANAi9DCp0AMUF
超好用!任何等差數列都能用97Please respect copyright.PENANAfeX6Bupzfv
嚴禁直接死背公式!97Please respect copyright.PENANAOUbou3w3g8
導出等差數列和的公式97Please respect copyright.PENANAvn5DTuybuQ
豐臣秀吉被擺了一道!數學變黃金的故事97Please respect copyright.PENANAm01vxyE7ej
等比數列是「相乘後錯位相減」97Please respect copyright.PENANAC9KjxEBU24
導出等比數列和的公式97Please respect copyright.PENANApCDAd03Onl
先知道處理數列和的符號!97Please respect copyright.PENANA1bBO59odTc
Column把數學記號當作是念魔咒97Please respect copyright.PENANAyLRowrfG3p
97Please respect copyright.PENANAYJ7MCf5LO6
第三課 記住「排列組合法」97Please respect copyright.PENANAjgExVgaygW
從賽馬了解「排列」與「組合」97Please respect copyright.PENANA06OKAJvRKl
Step①了解階乘的計算方法97Please respect copyright.PENANAJrYGPSJGUX
Step②了解排列的計算方法97Please respect copyright.PENANAAOVrGoNxI5
Step③了解組合的計算方法97Please respect copyright.PENANAhjNjcwxSdl
了解「排列」與「組合」的式子97Please respect copyright.PENANApSUaa9ddDC
「排列」和「組合」的符號是「P」和「C」97Please respect copyright.PENANAfAWVxJmysf
運用「排列」和「組合」排班表97Please respect copyright.PENANAlGrYB5mPYR
97Please respect copyright.PENANAPg5m33CD0p
第四課 搞懂「離散值」和「標準差」97Please respect copyright.PENANA2n1ph96NVB
資訊分析的基礎是找到「數據的規則」97Please respect copyright.PENANAM84FYVsw1T
兩個步驟找出離散程度97Please respect copyright.PENANAJOk6NacAwT
平均、分散、標準差的深~度關係97Please respect copyright.PENANAayUMGLmMwM
平均、離散、標準差的記號97Please respect copyright.PENANALcWprpUlYI
試著用Excel計算標準差97Please respect copyright.PENANA5MhRqe8wwk
也把「偏差值」的計算公式記起來97Please respect copyright.PENANAFUgFVzuFBb
附註內容①深奧的平均世界97Please respect copyright.PENANAOreWdlEQgT
附註內容②平均值、中位數、眾數97Please respect copyright.PENANAOEr02DhDFk
97Please respect copyright.PENANAcD7xWnXW2K
第三天 超爽快!掌握高中文組數學的「分析」!97Please respect copyright.PENANAtEFOXRyMbp
第一課 豁然開朗!函數的世界97Please respect copyright.PENANA1TWyJJuSxb
函數與方程式的差別?97Please respect copyright.PENANAbEFpJ4C016
高中數學的4種函數97Please respect copyright.PENANAPbGITju1tk
Column少年西成的理科腦情書97Please respect copyright.PENANAS17V41VvWz
97Please respect copyright.PENANAdxl8XX5xMX
第二課 來複習二次函數!97Please respect copyright.PENANAU2WWVMqqDe
速速複習!二次方程式97Please respect copyright.PENANAmFae3GlC2t
畫出二次函數的圖形!97Please respect copyright.PENANA5dOjfZ4vtI
Column 物理學家是名偵探97Please respect copyright.PENANAdiQeEqOeum
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第三課 指數函數超好用!97Please respect copyright.PENANAiCfwf4o5yv
記住指數函數的相關用語97Please respect copyright.PENANABm1rOdMDVm
基本規則①乘冪相乘時,指數相加97Please respect copyright.PENANAEBwX4NJnWF
基本規則②乘冪再乘冪時,指數相乘97Please respect copyright.PENANAS2KaJTtPSf
基本規則③乘冪相除時,指數相減97Please respect copyright.PENANAPlCDgJG5HB
指數是負數時會怎樣?97Please respect copyright.PENANA8xVYbBatK9
指數是「0」的時候會怎樣?97Please respect copyright.PENANAuwJUpp6ydd
根號可以轉換成指數運算97Please respect copyright.PENANAO0YPZHcV61
統整指數運算的處理方式97Please respect copyright.PENANAKFApLLF0IV
將指數函數做成圖形看看!97Please respect copyright.PENANAFibfvrk64U
順便來談談「對數函數」的內容97Please respect copyright.PENANAyBphTJFaX9
天文數字也可以處理的對數函數97Please respect copyright.PENANAo5fte4xzwy
指數函數與音樂的深~度關係97Please respect copyright.PENANAfZtzmw4gpJ
用iPhone計算指數函數的方法97Please respect copyright.PENANAw7CyC2aS9Z
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第四天 秒懂高中數學的「幾何」精髓!97Please respect copyright.PENANADktlO39vdg
第一課 不再霧煞煞的「三角比」97Please respect copyright.PENANAxS5hjX9RhA
以餘弦定理搞懂三角形97Please respect copyright.PENANAjd84QWbpwi
畫三角形的「西成流」作法97Please respect copyright.PENANA43Exxfp2PK
sin、cos、tan是指「邊長比」97Please respect copyright.PENANAtYvJIrcBfQ
忘掉tan的存在吧!97Please respect copyright.PENANA5eQTBc0GZ3
直角三角形的定義中必要的θ97Please respect copyright.PENANAWx1TkzcApE
三角比經常出現的陷阱題97Please respect copyright.PENANA3cXS6NjgSp
97Please respect copyright.PENANARWjF5PEzpD
第二課 俐落導出餘弦定理公式97Please respect copyright.PENANAmnhSvwGuQ6
用三角比可以做的事97Please respect copyright.PENANATcRhjpKjwb
導出餘弦定理①事前準備97Please respect copyright.PENANAKUq0d81DdW
導出餘弦定理②成立公式、解開97Please respect copyright.PENANAhlBrwW01aG
導出餘弦定理③證明sin2θ+ cos2θ= 197Please respect copyright.PENANAL8g7FQxa6U
導出餘弦定理④完成97Please respect copyright.PENANAgadnuyhYYo
餘弦定理與畢氏定理的關係97Please respect copyright.PENANA9bJrjjMxzi
97Please respect copyright.PENANAwCXu93OuLV
第三課 學習最後的分析工具「三角函數」!97Please respect copyright.PENANAXtWV3payfi
三角函數只是將θ與y的關係圖像化97Please respect copyright.PENANAqqMv6P5Jrm
97Please respect copyright.PENANA2GnCjxsNtM
第五天 特別課程①:幾何的最終武器「向量」!97Please respect copyright.PENANAYJriPFkoJ7
第一課 偉大的「向量」97Please respect copyright.PENANALd3Gf5cOsM
用代數解幾何問題!?97Please respect copyright.PENANAI0sFdQPuWO
「短短數行」就能證明餘弦定理97Please respect copyright.PENANAXUnQnJi38G
97Please respect copyright.PENANAabEayHHHYn
第二課 了解「向量」的超嶄新概念97Please respect copyright.PENANAyiIA59vx1j
向量是集結兩種資訊的「特殊容器」97Please respect copyright.PENANAERf2glJkDZ
眾所熟知的「純量」97Please respect copyright.PENANAiawQo8afaE
數據時代的主角「張量」97Please respect copyright.PENANAADRauzkvEm
為什麼我們需要向量?97Please respect copyright.PENANAg7bkEv2rWO
97Please respect copyright.PENANA5ebRwhSmsI
第三課 「向量」是用箭頭當作記號唷97Please respect copyright.PENANAhGoqX1E5mZ
向量的書寫規則97Please respect copyright.PENANAu6NMaOpKTr
張量的畫法97Please respect copyright.PENANACdbzJid1Re
試著把向量畫成圖97Please respect copyright.PENANA5Q7LZWJ7LY
97Please respect copyright.PENANAqtRhUa61nD
第四課 「向量」的計算超簡單!97Please respect copyright.PENANASUrPJJY8bH
來算算向量的加法吧97Please respect copyright.PENANAHUzG2DR5Kz
也來算算向量的減法97Please respect copyright.PENANAtWZQmCVj6g
試著分解向量吧97Please respect copyright.PENANATVYIAdc1Nr
試著挑戰向量的乘法97Please respect copyright.PENANAhU11QkwZAR
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第五課 靠「向量」秒殺餘弦定理!97Please respect copyright.PENANAtVnc15Uz9k
用向量瞬間導出餘弦定理!97Please respect copyright.PENANAmbR96s5FgA
不論幾次元都能處理的向量97Please respect copyright.PENANAek4Fy5nw43
Column少年來了!(前篇)97Please respect copyright.PENANAx9mVDF9L9m
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第6天 特別課程②:用「微積分」預測未來!97Please respect copyright.PENANAx7KjjtDz9g
第一課 人類的寶物!了解微分積分97Please respect copyright.PENANAwLXHUvh1n2
微分積分與函數的關係97Please respect copyright.PENANAccydbHysAn
今天的主題是「三角形面積」97Please respect copyright.PENANAdDawfNBCvz
牛頓VS萊布尼茲的仁義之戰97Please respect copyright.PENANAFhlYRsXMAM
怎麼區分最合適?97Please respect copyright.PENANAyWqz4bOsXR
用微積分計算三角形的面積!97Please respect copyright.PENANAwVPBsLhaEi
來認識微分積分的符號97Please respect copyright.PENANA4V1qCwdazw
Column少年來了!(後篇)97Please respect copyright.PENANAP1DZxcJm0T
97Please respect copyright.PENANAWmjn1vrs37
第二課 用Excel預測未來!97Please respect copyright.PENANAHmHmoushee
現代人,用Excel就能預測未來97Please respect copyright.PENANAqpI3tlKowF
掌握Excel的使用方法!97Please respect copyright.PENANAna0N8Yh7yo
「數學家」、「AI」、「統計學家」的差別97Please respect copyright.PENANAcmG5ZAFzv8
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後記
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from《真希望高中數學這樣教:系列暢銷20萬冊!跟著東大教授的解題祕訣,6天掌握高中數學關鍵》
97Please respect copyright.PENANAgkIBueGzMm
實在沒辦法只作一頁截圖,所以把指數函數和音階的關係,全部截圖下來,放在這裡,也可以讓大家看到,這本書及其姐妹作《真希望國中數學這樣教:暢銷20萬冊!6天搞懂3年數學關鍵原理,跟著東大教授學,解題力大提升!》的寫作風格,就是這麼樸實無華輕鬆有趣。
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這本書以對話體呈現,採訪者提問,教授回答,文字就是對話和解釋,佐以圖表和插圖,內容雖然是數學,卻不枯燥 (至少對我而言),看完以後是否能提升數學能力 and/or 對數學的興趣,就有待讀者自己發掘了。
97Please respect copyright.PENANApvbMw1kR5n
不喜歡數學,很多時候是過去的陰影 (對老師、對學校、對教法、對教材、對考試⋯⋯) 造成的,其實與數學本身無涉;數學是一種語言,跟生活經驗極其相關。
伽利略認為「自然寫在宇宙這本大書上,而這本書是用數學語言寫成的。」
生而為人,我覺得很幸運,可以用數學這個語言,試著了解宇宙的奧妙。
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以上心得,部分文字出自《真希望國中數學這樣教:暢銷20萬冊!6天搞懂3年數學關鍵原理,跟著東大教授學,解題力大提升!》網頁下方會員評鑑「有感而發」的書評,不用懷疑,那個「有感而發」就是我本人啦。
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點一下網頁的「有感而發」,就可以看到我在博客來寫的書評,連結如下:
https://www.books.com.tw/booksComment/memberComment/xxx1406281
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【十二年國教課程綱要:數學領域 (節錄)】
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【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
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今天到此為止,我們明天見!!
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【創挑出處】
https://www.penana.com/article/165070497Please respect copyright.PENANAktr45Hv4NM