【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146Please respect copyright.ＰＥＮＡＮＡvhdktrwlJN
登場人物介紹146Please respect copyright.ＰＥＮＡＮＡ1lKkHel5gR
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第一天 數學的樂趣在哪裡？146Please respect copyright.ＰＥＮＡＮＡzuZVJWXTyc
第一課 其實並不可怕的高中數學146Please respect copyright.ＰＥＮＡＮＡammno0AqXa
好想學真正實用的數學！146Please respect copyright.ＰＥＮＡＮＡiSys0pOG3f
高中數學比國中數學還簡單！？146Please respect copyright.ＰＥＮＡＮＡolbgrG448G
146Please respect copyright.ＰＥＮＡＮＡrZk3wA2WTS
第二課 超精簡的創新數學課！146Please respect copyright.ＰＥＮＡＮＡ4StPPz87wL
果斷刪去八成教科書內容！146Please respect copyright.ＰＥＮＡＮＡ6I9Sulorm4
世界首創！「西成流」數學分類法146Please respect copyright.ＰＥＮＡＮＡhir3a7r2FG
高中數學中最輕鬆的是「代數」146Please respect copyright.ＰＥＮＡＮＡykVpU5yoZl
高中數學的顛峰是「微分積分」146Please respect copyright.ＰＥＮＡＮＡjTCmbOlXt5
超好用的工具「餘弦定理」146Please respect copyright.ＰＥＮＡＮＡIi8he6O92r
真正的幾何大魔王是「向量」146Please respect copyright.ＰＥＮＡＮＡ2keNnA5ZAu
Column文組無法理解數學的理由146Please respect copyright.ＰＥＮＡＮＡuOllOsirSn
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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！！146Please respect copyright.ＰＥＮＡＮＡcItZA4nSrW
第一課 速速學會統計學基礎146Please respect copyright.ＰＥＮＡＮＡMy6pWN4xoM
數據處理的3大必備條件146Please respect copyright.ＰＥＮＡＮＡXhXayzgY6Z
為什麼增加個數很好用？146Please respect copyright.ＰＥＮＡＮＡ4dquxLMCpI
「排列組合」是指什麼？146Please respect copyright.ＰＥＮＡＮＡGY0Hodpe3y
看離散程度的「標準差」146Please respect copyright.ＰＥＮＡＮＡWGKZcXCc9b
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第二課 記住「數列相加」的方法146Please respect copyright.ＰＥＮＡＮＡlm0gzkE2SR
天才高斯少年發現的「倒序相加」146Please respect copyright.ＰＥＮＡＮＡmgAvZE24HL
超好用！任何等差數列都能用146Please respect copyright.ＰＥＮＡＮＡcCCExpEC4L
嚴禁直接死背公式！146Please respect copyright.ＰＥＮＡＮＡuZ4adA5g5P
導出等差數列和的公式146Please respect copyright.ＰＥＮＡＮＡgUVA4orOP5
豐臣秀吉被擺了一道！數學變黃金的故事146Please respect copyright.ＰＥＮＡＮＡOTIBoNXxtc
等比數列是「相乘後錯位相減」146Please respect copyright.ＰＥＮＡＮＡfcUtaVSVdd
導出等比數列和的公式146Please respect copyright.ＰＥＮＡＮＡN8XRbcVpTN
先知道處理數列和的符號！146Please respect copyright.ＰＥＮＡＮＡBBG2cPotak
Column把數學記號當作是念魔咒146Please respect copyright.ＰＥＮＡＮＡ1X6O0qI5JY
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第三課 記住「排列組合法」146Please respect copyright.ＰＥＮＡＮＡIG34lAl0Qr
從賽馬了解「排列」與「組合」146Please respect copyright.ＰＥＮＡＮＡHN7q4PfYPS
Step①了解階乘的計算方法146Please respect copyright.ＰＥＮＡＮＡOP8xSVpnC4
Step②了解排列的計算方法146Please respect copyright.ＰＥＮＡＮＡW0hkNL5DqO
Step③了解組合的計算方法146Please respect copyright.ＰＥＮＡＮＡOlQvi85XgB
了解「排列」與「組合」的式子146Please respect copyright.ＰＥＮＡＮＡ1EUCRFztqA
「排列」和「組合」的符號是「P」和「C」146Please respect copyright.ＰＥＮＡＮＡ4fHjxuhCHn
運用「排列」和「組合」排班表146Please respect copyright.ＰＥＮＡＮＡnoCJFGmRK9
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第四課 搞懂「離散值」和「標準差」146Please respect copyright.ＰＥＮＡＮＡCXQud80X9U
資訊分析的基礎是找到「數據的規則」146Please respect copyright.ＰＥＮＡＮＡJJMcsZU5cm
兩個步驟找出離散程度146Please respect copyright.ＰＥＮＡＮＡ2NdI4QzlcK
平均、分散、標準差的深～度關係146Please respect copyright.ＰＥＮＡＮＡ8lRdGxswBX
平均、離散、標準差的記號146Please respect copyright.ＰＥＮＡＮＡ6OOgzKDMBm
試著用Excel計算標準差146Please respect copyright.ＰＥＮＡＮＡXiGTbpEuwA
也把「偏差值」的計算公式記起來146Please respect copyright.ＰＥＮＡＮＡlThUGZrGPZ
附註內容①深奧的平均世界146Please respect copyright.ＰＥＮＡＮＡJfmdxjosL9
附註內容②平均值、中位數、眾數146Please respect copyright.ＰＥＮＡＮＡsGvXYu2S1m
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第三天 超爽快！掌握高中文組數學的「分析」！146Please respect copyright.ＰＥＮＡＮＡ6eW3L2DVzB
第一課 豁然開朗！函數的世界146Please respect copyright.ＰＥＮＡＮＡZp1lG9cGh8
函數與方程式的差別？146Please respect copyright.ＰＥＮＡＮＡcyh052WiSS
高中數學的4種函數146Please respect copyright.ＰＥＮＡＮＡMrDtJG76n4
Column少年西成的理科腦情書146Please respect copyright.ＰＥＮＡＮＡx6NlDvMjXG
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第二課 來複習二次函數！146Please respect copyright.ＰＥＮＡＮＡuz4uCUygm6
速速複習！二次方程式146Please respect copyright.ＰＥＮＡＮＡSjyLaWs2fo
畫出二次函數的圖形！146Please respect copyright.ＰＥＮＡＮＡfWxvDH0CJj
Column 物理學家是名偵探146Please respect copyright.ＰＥＮＡＮＡMOlRCamEYX
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第三課 指數函數超好用！146Please respect copyright.ＰＥＮＡＮＡNy3sctxn4P
記住指數函數的相關用語146Please respect copyright.ＰＥＮＡＮＡ6kmswoCuoI
基本規則①乘冪相乘時，指數相加146Please respect copyright.ＰＥＮＡＮＡb2ily4HaCJ
基本規則②乘冪再乘冪時，指數相乘146Please respect copyright.ＰＥＮＡＮＡpvatfOtPSy
基本規則③乘冪相除時，指數相減146Please respect copyright.ＰＥＮＡＮＡZsfVUmi2AA
指數是負數時會怎樣？146Please respect copyright.ＰＥＮＡＮＡBAFweNExyB
指數是「0」的時候會怎樣？146Please respect copyright.ＰＥＮＡＮＡPe1Z7wDNt5
根號可以轉換成指數運算146Please respect copyright.ＰＥＮＡＮＡO6tIIEjTRH
統整指數運算的處理方式146Please respect copyright.ＰＥＮＡＮＡf9v1kO23Z4
將指數函數做成圖形看看！146Please respect copyright.ＰＥＮＡＮＡKu6cBjlEHy
順便來談談「對數函數」的內容146Please respect copyright.ＰＥＮＡＮＡS7udWjGL8X
天文數字也可以處理的對數函數146Please respect copyright.ＰＥＮＡＮＡ5h8rztLIfz
指數函數與音樂的深～度關係146Please respect copyright.ＰＥＮＡＮＡXPU63bO45Z
用iPhone計算指數函數的方法146Please respect copyright.ＰＥＮＡＮＡV3ioAHVonJ
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第四天 秒懂高中數學的「幾何」精髓！146Please respect copyright.ＰＥＮＡＮＡbb9EZE7DUW
第一課 不再霧煞煞的「三角比」146Please respect copyright.ＰＥＮＡＮＡYoDt9zA0Wv
以餘弦定理搞懂三角形146Please respect copyright.ＰＥＮＡＮＡfaVaY56WYa
畫三角形的「西成流」作法146Please respect copyright.ＰＥＮＡＮＡish5hmd0aU
sin、cos、tan是指「邊長比」146Please respect copyright.ＰＥＮＡＮＡTATYHEvUoX
忘掉tan的存在吧！146Please respect copyright.ＰＥＮＡＮＡOr7l1IkM3K
直角三角形的定義中必要的θ146Please respect copyright.ＰＥＮＡＮＡfmjPyfMstB
三角比經常出現的陷阱題146Please respect copyright.ＰＥＮＡＮＡBED1j8IFbt
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第二課 俐落導出餘弦定理公式146Please respect copyright.ＰＥＮＡＮＡIKGys4vnwU
用三角比可以做的事146Please respect copyright.ＰＥＮＡＮＡF6UUfv2XD4
導出餘弦定理①事前準備146Please respect copyright.ＰＥＮＡＮＡCuzWQTZTcL
導出餘弦定理②成立公式、解開146Please respect copyright.ＰＥＮＡＮＡ3lFmORdER4
導出餘弦定理③證明sin2θ+ cos2θ= 1146Please respect copyright.ＰＥＮＡＮＡc9HafR7vcr
導出餘弦定理④完成146Please respect copyright.ＰＥＮＡＮＡCtPaiIE4ql
餘弦定理與畢氏定理的關係146Please respect copyright.ＰＥＮＡＮＡZmggWqeewq
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第三課 學習最後的分析工具「三角函數」！146Please respect copyright.ＰＥＮＡＮＡqbyxyGON3h
三角函數只是將θ與y的關係圖像化146Please respect copyright.ＰＥＮＡＮＡ9yEKf7TSJg
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第五天 特別課程①：幾何的最終武器「向量」！146Please respect copyright.ＰＥＮＡＮＡP5HfRo77U6
第一課 偉大的「向量」146Please respect copyright.ＰＥＮＡＮＡMgv71EySBi
用代數解幾何問題！？146Please respect copyright.ＰＥＮＡＮＡZKSxhmov3B
「短短數行」就能證明餘弦定理146Please respect copyright.ＰＥＮＡＮＡ655rvQgZRv
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第二課 了解「向量」的超嶄新概念146Please respect copyright.ＰＥＮＡＮＡSfc8guYEDS
向量是集結兩種資訊的「特殊容器」146Please respect copyright.ＰＥＮＡＮＡwy7yVV4RVi
眾所熟知的「純量」146Please respect copyright.ＰＥＮＡＮＡgPH2tFzXcx
數據時代的主角「張量」146Please respect copyright.ＰＥＮＡＮＡOFyVupQuwZ
為什麼我們需要向量？146Please respect copyright.ＰＥＮＡＮＡUwAcAAzN5K
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第三課 「向量」是用箭頭當作記號唷146Please respect copyright.ＰＥＮＡＮＡn5fhUNNgoH
向量的書寫規則146Please respect copyright.ＰＥＮＡＮＡNCs6i9fHnC
張量的畫法146Please respect copyright.ＰＥＮＡＮＡIV2jQQOPJZ
試著把向量畫成圖146Please respect copyright.ＰＥＮＡＮＡqRJHdBnLJK
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第四課 「向量」的計算超簡單！146Please respect copyright.ＰＥＮＡＮＡEZjkp0mMWQ
來算算向量的加法吧146Please respect copyright.ＰＥＮＡＮＡi4XBLph0NF
也來算算向量的減法146Please respect copyright.ＰＥＮＡＮＡmVyQnwhrfM
試著分解向量吧146Please respect copyright.ＰＥＮＡＮＡbrnqT3zjdr
試著挑戰向量的乘法146Please respect copyright.ＰＥＮＡＮＡoNncXEkFec
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第五課 靠「向量」秒殺餘弦定理！146Please respect copyright.ＰＥＮＡＮＡtTza7NoMAP
用向量瞬間導出餘弦定理！146Please respect copyright.ＰＥＮＡＮＡCPrV9gxaOd
不論幾次元都能處理的向量146Please respect copyright.ＰＥＮＡＮＡwD4Ly5O6zk
Column少年來了！（前篇）146Please respect copyright.ＰＥＮＡＮＡI6DLv1j2HS
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第6天 特別課程②：用「微積分」預測未來！146Please respect copyright.ＰＥＮＡＮＡ8a1HYo9cu1
第一課 人類的寶物！了解微分積分146Please respect copyright.ＰＥＮＡＮＡvwUEht7j7Q
微分積分與函數的關係146Please respect copyright.ＰＥＮＡＮＡMVanCzyY5x
今天的主題是「三角形面積」146Please respect copyright.ＰＥＮＡＮＡkAOrox5IRo
牛頓VS萊布尼茲的仁義之戰146Please respect copyright.ＰＥＮＡＮＡG6Mo6ma0ox
怎麼區分最合適？146Please respect copyright.ＰＥＮＡＮＡKDHTCv81PQ
用微積分計算三角形的面積！146Please respect copyright.ＰＥＮＡＮＡ0FN2lCKaXP
來認識微分積分的符號146Please respect copyright.ＰＥＮＡＮＡ2UYt79Tmi3
Column少年來了！（後篇）146Please respect copyright.ＰＥＮＡＮＡMpo5niGhLH
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第二課 用Excel預測未來！146Please respect copyright.ＰＥＮＡＮＡx7gQvV947D
現代人，用Excel就能預測未來146Please respect copyright.ＰＥＮＡＮＡDQdJeqbdRU
掌握Excel的使用方法！146Please respect copyright.ＰＥＮＡＮＡRYVNVpBKsm
「數學家」、「AI」、「統計學家」的差別146Please respect copyright.ＰＥＮＡＮＡ19r7KOdCyx
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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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