【20 天 (結果變5天) 來 Skim + Scan (03)：一頁書心得 (數商)】
https://www.penana.com/article/1649263
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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119Please respect copyright.ＰＥＮＡＮＡFTxVv5jIYo
登場人物介紹119Please respect copyright.ＰＥＮＡＮＡ8N0aBp20iB
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第一天 數學的樂趣在哪裡？119Please respect copyright.ＰＥＮＡＮＡIC8mHB7qct
第一課 其實並不可怕的高中數學119Please respect copyright.ＰＥＮＡＮＡ1f2dTuVeeq
好想學真正實用的數學！119Please respect copyright.ＰＥＮＡＮＡPceUYM05zG
高中數學比國中數學還簡單！？119Please respect copyright.ＰＥＮＡＮＡTjJ00O0pQO
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第二課 超精簡的創新數學課！119Please respect copyright.ＰＥＮＡＮＡfqeUfjHTvI
果斷刪去八成教科書內容！119Please respect copyright.ＰＥＮＡＮＡMjDtyTozgy
世界首創！「西成流」數學分類法119Please respect copyright.ＰＥＮＡＮＡqyHAiFyM8j
高中數學中最輕鬆的是「代數」119Please respect copyright.ＰＥＮＡＮＡgZFiV9dCKu
高中數學的顛峰是「微分積分」119Please respect copyright.ＰＥＮＡＮＡGRTpidS3Ct
超好用的工具「餘弦定理」119Please respect copyright.ＰＥＮＡＮＡCFF31QF5kO
真正的幾何大魔王是「向量」119Please respect copyright.ＰＥＮＡＮＡaz5z84bO5X
Column文組無法理解數學的理由119Please respect copyright.ＰＥＮＡＮＡGPfjQt1WPN
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第二天 輕鬆致勝！搞懂「代數」就能精通高中文組數學！！119Please respect copyright.ＰＥＮＡＮＡRIR7TUOGZX
第一課 速速學會統計學基礎119Please respect copyright.ＰＥＮＡＮＡwcqb0WQOu5
數據處理的3大必備條件119Please respect copyright.ＰＥＮＡＮＡCCBWRSSfbD
為什麼增加個數很好用？119Please respect copyright.ＰＥＮＡＮＡlncqFvCmIj
「排列組合」是指什麼？119Please respect copyright.ＰＥＮＡＮＡooCKuSQViX
看離散程度的「標準差」119Please respect copyright.ＰＥＮＡＮＡgcAmfBFUp0
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第二課 記住「數列相加」的方法119Please respect copyright.ＰＥＮＡＮＡ5FvwQYJn8b
天才高斯少年發現的「倒序相加」119Please respect copyright.ＰＥＮＡＮＡFqgmMTtjL6
超好用！任何等差數列都能用119Please respect copyright.ＰＥＮＡＮＡqWnsz6jAQ0
嚴禁直接死背公式！119Please respect copyright.ＰＥＮＡＮＡKSBdd7wKyy
導出等差數列和的公式119Please respect copyright.ＰＥＮＡＮＡMwB4jlEwUv
豐臣秀吉被擺了一道！數學變黃金的故事119Please respect copyright.ＰＥＮＡＮＡbcTa2Gry07
等比數列是「相乘後錯位相減」119Please respect copyright.ＰＥＮＡＮＡU4PDfIWvXu
導出等比數列和的公式119Please respect copyright.ＰＥＮＡＮＡCyGN2QULAH
先知道處理數列和的符號！119Please respect copyright.ＰＥＮＡＮＡ3EEDABjutZ
Column把數學記號當作是念魔咒119Please respect copyright.ＰＥＮＡＮＡgye6S0Q8Yo
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第三課 記住「排列組合法」119Please respect copyright.ＰＥＮＡＮＡJ7gltxAs6C
從賽馬了解「排列」與「組合」119Please respect copyright.ＰＥＮＡＮＡhYMCssu4QJ
Step①了解階乘的計算方法119Please respect copyright.ＰＥＮＡＮＡzG9xFekR29
Step②了解排列的計算方法119Please respect copyright.ＰＥＮＡＮＡDfhUNTlUVR
Step③了解組合的計算方法119Please respect copyright.ＰＥＮＡＮＡnp7KzHKHsW
了解「排列」與「組合」的式子119Please respect copyright.ＰＥＮＡＮＡMYW34n869h
「排列」和「組合」的符號是「P」和「C」119Please respect copyright.ＰＥＮＡＮＡY9ITlLN1nC
運用「排列」和「組合」排班表119Please respect copyright.ＰＥＮＡＮＡkXi13eff9W
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第四課 搞懂「離散值」和「標準差」119Please respect copyright.ＰＥＮＡＮＡCMei81lrnW
資訊分析的基礎是找到「數據的規則」119Please respect copyright.ＰＥＮＡＮＡVWUWPCo8rn
兩個步驟找出離散程度119Please respect copyright.ＰＥＮＡＮＡVjWxjfcFk8
平均、分散、標準差的深～度關係119Please respect copyright.ＰＥＮＡＮＡC4RPC8aPRg
平均、離散、標準差的記號119Please respect copyright.ＰＥＮＡＮＡ47O4HEApTC
試著用Excel計算標準差119Please respect copyright.ＰＥＮＡＮＡHsAbeZwJNs
也把「偏差值」的計算公式記起來119Please respect copyright.ＰＥＮＡＮＡoG4Ja3r47y
附註內容①深奧的平均世界119Please respect copyright.ＰＥＮＡＮＡ07rTR1qMEm
附註內容②平均值、中位數、眾數119Please respect copyright.ＰＥＮＡＮＡ6IJHrwI5in
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第三天 超爽快！掌握高中文組數學的「分析」！119Please respect copyright.ＰＥＮＡＮＡrdf3bWmp9y
第一課 豁然開朗！函數的世界119Please respect copyright.ＰＥＮＡＮＡwQw2KKAgNB
函數與方程式的差別？119Please respect copyright.ＰＥＮＡＮＡ73lcFzH6sV
高中數學的4種函數119Please respect copyright.ＰＥＮＡＮＡ3q6Irykfk0
Column少年西成的理科腦情書119Please respect copyright.ＰＥＮＡＮＡiXWkDIUKAz
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第二課 來複習二次函數！119Please respect copyright.ＰＥＮＡＮＡwB6Ao0M517
速速複習！二次方程式119Please respect copyright.ＰＥＮＡＮＡplL7wQVWNA
畫出二次函數的圖形！119Please respect copyright.ＰＥＮＡＮＡdAJmWbBRyF
Column 物理學家是名偵探119Please respect copyright.ＰＥＮＡＮＡqvVUfzjwok
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第三課 指數函數超好用！119Please respect copyright.ＰＥＮＡＮＡC6zhJX48Jj
記住指數函數的相關用語119Please respect copyright.ＰＥＮＡＮＡ4AW0INm49o
基本規則①乘冪相乘時，指數相加119Please respect copyright.ＰＥＮＡＮＡ3BAy7ijU7L
基本規則②乘冪再乘冪時，指數相乘119Please respect copyright.ＰＥＮＡＮＡ5ZLbOvBlVz
基本規則③乘冪相除時，指數相減119Please respect copyright.ＰＥＮＡＮＡ3QfVrCtITA
指數是負數時會怎樣？119Please respect copyright.ＰＥＮＡＮＡrxTX2v36qr
指數是「0」的時候會怎樣？119Please respect copyright.ＰＥＮＡＮＡXil3c5Sa1i
根號可以轉換成指數運算119Please respect copyright.ＰＥＮＡＮＡ9xtHHd06gb
統整指數運算的處理方式119Please respect copyright.ＰＥＮＡＮＡTTgjdO5CGE
將指數函數做成圖形看看！119Please respect copyright.ＰＥＮＡＮＡfDbAeljp7w
順便來談談「對數函數」的內容119Please respect copyright.ＰＥＮＡＮＡv2jzFkW5HN
天文數字也可以處理的對數函數119Please respect copyright.ＰＥＮＡＮＡoJKOgJo9C9
指數函數與音樂的深～度關係119Please respect copyright.ＰＥＮＡＮＡtYk9Hwau8L
用iPhone計算指數函數的方法119Please respect copyright.ＰＥＮＡＮＡRBFmCuscnb
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第四天 秒懂高中數學的「幾何」精髓！119Please respect copyright.ＰＥＮＡＮＡgJOw0N5bNp
第一課 不再霧煞煞的「三角比」119Please respect copyright.ＰＥＮＡＮＡlYK4AkVZKS
以餘弦定理搞懂三角形119Please respect copyright.ＰＥＮＡＮＡpM08PHMKyO
畫三角形的「西成流」作法119Please respect copyright.ＰＥＮＡＮＡT0nBfGXPT0
sin、cos、tan是指「邊長比」119Please respect copyright.ＰＥＮＡＮＡWYOm4gsGks
忘掉tan的存在吧！119Please respect copyright.ＰＥＮＡＮＡ82Ew1wbydq
直角三角形的定義中必要的θ119Please respect copyright.ＰＥＮＡＮＡ53aQ9WwFp7
三角比經常出現的陷阱題119Please respect copyright.ＰＥＮＡＮＡeG0SgCiCzA
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第二課 俐落導出餘弦定理公式119Please respect copyright.ＰＥＮＡＮＡzgefZVVGKO
用三角比可以做的事119Please respect copyright.ＰＥＮＡＮＡAE1rXi1J5I
導出餘弦定理①事前準備119Please respect copyright.ＰＥＮＡＮＡm85qhJY5TL
導出餘弦定理②成立公式、解開119Please respect copyright.ＰＥＮＡＮＡL9NLmQr5xY
導出餘弦定理③證明sin2θ+ cos2θ= 1119Please respect copyright.ＰＥＮＡＮＡSRpSxjlANi
導出餘弦定理④完成119Please respect copyright.ＰＥＮＡＮＡo6rr5Sbp73
餘弦定理與畢氏定理的關係119Please respect copyright.ＰＥＮＡＮＡS2WLYxNGox
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第三課 學習最後的分析工具「三角函數」！119Please respect copyright.ＰＥＮＡＮＡpNmWdjuV5m
三角函數只是將θ與y的關係圖像化119Please respect copyright.ＰＥＮＡＮＡ00fa5xvIJ6
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第五天 特別課程①：幾何的最終武器「向量」！119Please respect copyright.ＰＥＮＡＮＡmuGfmgJE4r
第一課 偉大的「向量」119Please respect copyright.ＰＥＮＡＮＡx3Iq2NAcPF
用代數解幾何問題！？119Please respect copyright.ＰＥＮＡＮＡo1gxOL7TUB
「短短數行」就能證明餘弦定理119Please respect copyright.ＰＥＮＡＮＡUbOQtZZvHh
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第二課 了解「向量」的超嶄新概念119Please respect copyright.ＰＥＮＡＮＡVOmw3tWtq8
向量是集結兩種資訊的「特殊容器」119Please respect copyright.ＰＥＮＡＮＡjAYFu1uYoT
眾所熟知的「純量」119Please respect copyright.ＰＥＮＡＮＡOFitBbpz1c
數據時代的主角「張量」119Please respect copyright.ＰＥＮＡＮＡVMiRjYQNIJ
為什麼我們需要向量？119Please respect copyright.ＰＥＮＡＮＡUwOuTKyBNI
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第三課 「向量」是用箭頭當作記號唷119Please respect copyright.ＰＥＮＡＮＡ8ar3l93Pop
向量的書寫規則119Please respect copyright.ＰＥＮＡＮＡkHB8xcKQe2
張量的畫法119Please respect copyright.ＰＥＮＡＮＡaeDMCc1yMi
試著把向量畫成圖119Please respect copyright.ＰＥＮＡＮＡLbcoLuXMWr
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第四課 「向量」的計算超簡單！119Please respect copyright.ＰＥＮＡＮＡDwKwkpi9TB
來算算向量的加法吧119Please respect copyright.ＰＥＮＡＮＡN1kydZMBOk
也來算算向量的減法119Please respect copyright.ＰＥＮＡＮＡtKsKX8AvYe
試著分解向量吧119Please respect copyright.ＰＥＮＡＮＡrZFb1q7Q9F
試著挑戰向量的乘法119Please respect copyright.ＰＥＮＡＮＡUoFoMdCgXQ
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第五課 靠「向量」秒殺餘弦定理！119Please respect copyright.ＰＥＮＡＮＡWzgwRO05zL
用向量瞬間導出餘弦定理！119Please respect copyright.ＰＥＮＡＮＡswwwqpxasx
不論幾次元都能處理的向量119Please respect copyright.ＰＥＮＡＮＡ8NGjL3GFQt
Column少年來了！（前篇）119Please respect copyright.ＰＥＮＡＮＡdRXbFnELkH
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第6天 特別課程②：用「微積分」預測未來！119Please respect copyright.ＰＥＮＡＮＡehGcvEyD3D
第一課 人類的寶物！了解微分積分119Please respect copyright.ＰＥＮＡＮＡ4cadWohVnW
微分積分與函數的關係119Please respect copyright.ＰＥＮＡＮＡw2mrjh3CpP
今天的主題是「三角形面積」119Please respect copyright.ＰＥＮＡＮＡlLw2Duf6AL
牛頓VS萊布尼茲的仁義之戰119Please respect copyright.ＰＥＮＡＮＡrSrn5vm6mv
怎麼區分最合適？119Please respect copyright.ＰＥＮＡＮＡMk0IkyDj1T
用微積分計算三角形的面積！119Please respect copyright.ＰＥＮＡＮＡPVHrNgl8wF
來認識微分積分的符號119Please respect copyright.ＰＥＮＡＮＡDldG8bvwsg
Column少年來了！（後篇）119Please respect copyright.ＰＥＮＡＮＡi84Kyth7ZN
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第二課 用Excel預測未來！119Please respect copyright.ＰＥＮＡＮＡezCeH78AUg
現代人，用Excel就能預測未來119Please respect copyright.ＰＥＮＡＮＡZyNBTIFmgI
掌握Excel的使用方法！119Please respect copyright.ＰＥＮＡＮＡ8zCeYEfBo9
「數學家」、「AI」、「統計學家」的差別119Please respect copyright.ＰＥＮＡＮＡqmHsybOQjE
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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》
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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。
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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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