【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140Please respect copyright.ＰＥＮＡＮＡcUyIauSISp
登場人物介紹140Please respect copyright.ＰＥＮＡＮＡm1Mbgyeqwa
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第一天 數學的樂趣在哪裡？140Please respect copyright.ＰＥＮＡＮＡkQ3riI8r2r
第一課 其實並不可怕的高中數學140Please respect copyright.ＰＥＮＡＮＡYQoNBDigiI
好想學真正實用的數學！140Please respect copyright.ＰＥＮＡＮＡLOeGdYkkJZ
高中數學比國中數學還簡單！？140Please respect copyright.ＰＥＮＡＮＡTGgz4vq7JR
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第二課 超精簡的創新數學課！140Please respect copyright.ＰＥＮＡＮＡs36ixcyeIB
果斷刪去八成教科書內容！140Please respect copyright.ＰＥＮＡＮＡGBbVqrKE50
世界首創！「西成流」數學分類法140Please respect copyright.ＰＥＮＡＮＡpvwMhYLAGw
高中數學中最輕鬆的是「代數」140Please respect copyright.ＰＥＮＡＮＡXjdYL46Brr
高中數學的顛峰是「微分積分」140Please respect copyright.ＰＥＮＡＮＡMndXKEib7V
超好用的工具「餘弦定理」140Please respect copyright.ＰＥＮＡＮＡgoY73rMeaM
真正的幾何大魔王是「向量」140Please respect copyright.ＰＥＮＡＮＡMrvuHWT0xB
Column文組無法理解數學的理由140Please respect copyright.ＰＥＮＡＮＡeluXTtoFuq
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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！！140Please respect copyright.ＰＥＮＡＮＡJpSAlMkUp6
第一課 速速學會統計學基礎140Please respect copyright.ＰＥＮＡＮＡ5ilkbTYthR
數據處理的3大必備條件140Please respect copyright.ＰＥＮＡＮＡXSwFBRNr0g
為什麼增加個數很好用？140Please respect copyright.ＰＥＮＡＮＡhFmUMnGMx1
「排列組合」是指什麼？140Please respect copyright.ＰＥＮＡＮＡzf9iRRvJXF
看離散程度的「標準差」140Please respect copyright.ＰＥＮＡＮＡ6SJeITUFgy
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第二課 記住「數列相加」的方法140Please respect copyright.ＰＥＮＡＮＡ9rPRR8PuD3
天才高斯少年發現的「倒序相加」140Please respect copyright.ＰＥＮＡＮＡmrG58QsMta
超好用！任何等差數列都能用140Please respect copyright.ＰＥＮＡＮＡXCkmBAJSDj
嚴禁直接死背公式！140Please respect copyright.ＰＥＮＡＮＡk2rJnBprwu
導出等差數列和的公式140Please respect copyright.ＰＥＮＡＮＡa5V79u6vPf
豐臣秀吉被擺了一道！數學變黃金的故事140Please respect copyright.ＰＥＮＡＮＡ2VDZVlYNNH
等比數列是「相乘後錯位相減」140Please respect copyright.ＰＥＮＡＮＡCtR0xOm0yr
導出等比數列和的公式140Please respect copyright.ＰＥＮＡＮＡO43iuO5VR3
先知道處理數列和的符號！140Please respect copyright.ＰＥＮＡＮＡOZEuTVwoKJ
Column把數學記號當作是念魔咒140Please respect copyright.ＰＥＮＡＮＡIW4jFNB2vD
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第三課 記住「排列組合法」140Please respect copyright.ＰＥＮＡＮＡ3Yrs500Rbb
從賽馬了解「排列」與「組合」140Please respect copyright.ＰＥＮＡＮＡuOsndwv4iq
Step①了解階乘的計算方法140Please respect copyright.ＰＥＮＡＮＡ5Xg6PzP2HS
Step②了解排列的計算方法140Please respect copyright.ＰＥＮＡＮＡBAFlRYXckr
Step③了解組合的計算方法140Please respect copyright.ＰＥＮＡＮＡiijuO26B5v
了解「排列」與「組合」的式子140Please respect copyright.ＰＥＮＡＮＡzKP4m5Ivdz
「排列」和「組合」的符號是「P」和「C」140Please respect copyright.ＰＥＮＡＮＡA3lhlYLCDx
運用「排列」和「組合」排班表140Please respect copyright.ＰＥＮＡＮＡTPpQKDc2zb
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第四課 搞懂「離散值」和「標準差」140Please respect copyright.ＰＥＮＡＮＡNzAGCYkKyv
資訊分析的基礎是找到「數據的規則」140Please respect copyright.ＰＥＮＡＮＡusPsJUIuFv
兩個步驟找出離散程度140Please respect copyright.ＰＥＮＡＮＡ8XSIiK7gNN
平均、分散、標準差的深～度關係140Please respect copyright.ＰＥＮＡＮＡt7oW2RwFu2
平均、離散、標準差的記號140Please respect copyright.ＰＥＮＡＮＡh0CuGfWkDI
試著用Excel計算標準差140Please respect copyright.ＰＥＮＡＮＡk3wFmbxTJL
也把「偏差值」的計算公式記起來140Please respect copyright.ＰＥＮＡＮＡcUBBxDBYeW
附註內容①深奧的平均世界140Please respect copyright.ＰＥＮＡＮＡiG8lI5HaQZ
附註內容②平均值、中位數、眾數140Please respect copyright.ＰＥＮＡＮＡ20vQGuiTqk
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第三天 超爽快！掌握高中文組數學的「分析」！140Please respect copyright.ＰＥＮＡＮＡpEjUJLz1pb
第一課 豁然開朗！函數的世界140Please respect copyright.ＰＥＮＡＮＡfl1aovhJ2O
函數與方程式的差別？140Please respect copyright.ＰＥＮＡＮＡY6Mv9URJ5p
高中數學的4種函數140Please respect copyright.ＰＥＮＡＮＡJcIeQXAg3p
Column少年西成的理科腦情書140Please respect copyright.ＰＥＮＡＮＡQUCiZgmaAc
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第二課 來複習二次函數！140Please respect copyright.ＰＥＮＡＮＡzJrTebu1OZ
速速複習！二次方程式140Please respect copyright.ＰＥＮＡＮＡ428O5rpYbg
畫出二次函數的圖形！140Please respect copyright.ＰＥＮＡＮＡpXecNu6Nm8
Column 物理學家是名偵探140Please respect copyright.ＰＥＮＡＮＡltfLsjZjzP
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第三課 指數函數超好用！140Please respect copyright.ＰＥＮＡＮＡIvf6ZxmYnm
記住指數函數的相關用語140Please respect copyright.ＰＥＮＡＮＡmt7QkOTrSh
基本規則①乘冪相乘時，指數相加140Please respect copyright.ＰＥＮＡＮＡDOuvVGy6QR
基本規則②乘冪再乘冪時，指數相乘140Please respect copyright.ＰＥＮＡＮＡHWACJwJcRr
基本規則③乘冪相除時，指數相減140Please respect copyright.ＰＥＮＡＮＡJjrJyVtXuF
指數是負數時會怎樣？140Please respect copyright.ＰＥＮＡＮＡIphrxn27GS
指數是「0」的時候會怎樣？140Please respect copyright.ＰＥＮＡＮＡ4hJpTVWqPh
根號可以轉換成指數運算140Please respect copyright.ＰＥＮＡＮＡzb7PHDrLmL
統整指數運算的處理方式140Please respect copyright.ＰＥＮＡＮＡu2IJVSrwPw
將指數函數做成圖形看看！140Please respect copyright.ＰＥＮＡＮＡtC5xY1J1DA
順便來談談「對數函數」的內容140Please respect copyright.ＰＥＮＡＮＡz6sgYHGAC8
天文數字也可以處理的對數函數140Please respect copyright.ＰＥＮＡＮＡVSYHfxsate
指數函數與音樂的深～度關係140Please respect copyright.ＰＥＮＡＮＡEtyppHhfYT
用iPhone計算指數函數的方法140Please respect copyright.ＰＥＮＡＮＡW40b7DaDrH
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第四天 秒懂高中數學的「幾何」精髓！140Please respect copyright.ＰＥＮＡＮＡ3IYGtTFsdA
第一課 不再霧煞煞的「三角比」140Please respect copyright.ＰＥＮＡＮＡaARrsiDolK
以餘弦定理搞懂三角形140Please respect copyright.ＰＥＮＡＮＡa5iIJIIyZ2
畫三角形的「西成流」作法140Please respect copyright.ＰＥＮＡＮＡ6NEHiHTOwH
sin、cos、tan是指「邊長比」140Please respect copyright.ＰＥＮＡＮＡf5QUOShCzt
忘掉tan的存在吧！140Please respect copyright.ＰＥＮＡＮＡns6e091hcg
直角三角形的定義中必要的θ140Please respect copyright.ＰＥＮＡＮＡILzE2On8FH
三角比經常出現的陷阱題140Please respect copyright.ＰＥＮＡＮＡ3JQ22PidUk
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第二課 俐落導出餘弦定理公式140Please respect copyright.ＰＥＮＡＮＡPGj9Tp1I92
用三角比可以做的事140Please respect copyright.ＰＥＮＡＮＡn8JzB0NmIl
導出餘弦定理①事前準備140Please respect copyright.ＰＥＮＡＮＡVe3JOyGpvk
導出餘弦定理②成立公式、解開140Please respect copyright.ＰＥＮＡＮＡtmc4yY6EBm
導出餘弦定理③證明sin2θ+ cos2θ= 1140Please respect copyright.ＰＥＮＡＮＡnr5lOnYxs8
導出餘弦定理④完成140Please respect copyright.ＰＥＮＡＮＡ9HphNWHOG6
餘弦定理與畢氏定理的關係140Please respect copyright.ＰＥＮＡＮＡKxUxsG4iHz
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第三課 學習最後的分析工具「三角函數」！140Please respect copyright.ＰＥＮＡＮＡzxCUc79KAC
三角函數只是將θ與y的關係圖像化140Please respect copyright.ＰＥＮＡＮＡBV1TyyVet9
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第五天 特別課程①：幾何的最終武器「向量」！140Please respect copyright.ＰＥＮＡＮＡsCwa7C8BbI
第一課 偉大的「向量」140Please respect copyright.ＰＥＮＡＮＡdDs9bNLqId
用代數解幾何問題！？140Please respect copyright.ＰＥＮＡＮＡfwQjx55Jx6
「短短數行」就能證明餘弦定理140Please respect copyright.ＰＥＮＡＮＡUlDGmjQ6UJ
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第二課 了解「向量」的超嶄新概念140Please respect copyright.ＰＥＮＡＮＡ01AOyzxNZu
向量是集結兩種資訊的「特殊容器」140Please respect copyright.ＰＥＮＡＮＡ3Lt0rfLW5O
眾所熟知的「純量」140Please respect copyright.ＰＥＮＡＮＡuDjXX5kFha
數據時代的主角「張量」140Please respect copyright.ＰＥＮＡＮＡrQYpTuEi21
為什麼我們需要向量？140Please respect copyright.ＰＥＮＡＮＡ9Y88GjvlKW
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第三課 「向量」是用箭頭當作記號唷140Please respect copyright.ＰＥＮＡＮＡ4kjT5D0Lg7
向量的書寫規則140Please respect copyright.ＰＥＮＡＮＡX58SBaNIGH
張量的畫法140Please respect copyright.ＰＥＮＡＮＡn1MjHToLZ2
試著把向量畫成圖140Please respect copyright.ＰＥＮＡＮＡPgy84vIjdk
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第四課 「向量」的計算超簡單！140Please respect copyright.ＰＥＮＡＮＡO9vmH6izN6
來算算向量的加法吧140Please respect copyright.ＰＥＮＡＮＡA5jsQiQm2k
也來算算向量的減法140Please respect copyright.ＰＥＮＡＮＡl92azxvmOU
試著分解向量吧140Please respect copyright.ＰＥＮＡＮＡOmIizxX3lT
試著挑戰向量的乘法140Please respect copyright.ＰＥＮＡＮＡvaIuPvINpB
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第五課 靠「向量」秒殺餘弦定理！140Please respect copyright.ＰＥＮＡＮＡZ7DxTIXJwG
用向量瞬間導出餘弦定理！140Please respect copyright.ＰＥＮＡＮＡsBDdpiisRj
不論幾次元都能處理的向量140Please respect copyright.ＰＥＮＡＮＡaofQ5y5H1u
Column少年來了！（前篇）140Please respect copyright.ＰＥＮＡＮＡ5gYSONkSp4
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第6天 特別課程②：用「微積分」預測未來！140Please respect copyright.ＰＥＮＡＮＡb4BQgENZot
第一課 人類的寶物！了解微分積分140Please respect copyright.ＰＥＮＡＮＡRKDB29zTGt
微分積分與函數的關係140Please respect copyright.ＰＥＮＡＮＡi4qvnpq6Vi
今天的主題是「三角形面積」140Please respect copyright.ＰＥＮＡＮＡiFsMCdBzAk
牛頓VS萊布尼茲的仁義之戰140Please respect copyright.ＰＥＮＡＮＡeEk367bRue
怎麼區分最合適？140Please respect copyright.ＰＥＮＡＮＡwewrXmhDt6
用微積分計算三角形的面積！140Please respect copyright.ＰＥＮＡＮＡsnqVVugDRs
來認識微分積分的符號140Please respect copyright.ＰＥＮＡＮＡ5BIdQ3Exwb
Column少年來了！（後篇）140Please respect copyright.ＰＥＮＡＮＡpiwGPvzN6p
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第二課 用Excel預測未來！140Please respect copyright.ＰＥＮＡＮＡSAbikcmzmN
現代人，用Excel就能預測未來140Please respect copyright.ＰＥＮＡＮＡUfDfkODW14
掌握Excel的使用方法！140Please respect copyright.ＰＥＮＡＮＡ4uKFGkdiJT
「數學家」、「AI」、「統計學家」的差別140Please respect copyright.ＰＥＮＡＮＡ82VO2VTSLf
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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！！
ns3.141.193.237da2
