【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173Please respect copyright.ＰＥＮＡＮＡZhAt4yfnn5
登場人物介紹173Please respect copyright.ＰＥＮＡＮＡqIVaJRH06n
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第一天 數學的樂趣在哪裡？173Please respect copyright.ＰＥＮＡＮＡDaQ1ZOsDwd
第一課 其實並不可怕的高中數學173Please respect copyright.ＰＥＮＡＮＡGHQ6KySI5O
好想學真正實用的數學！173Please respect copyright.ＰＥＮＡＮＡTvGtHqDgYr
高中數學比國中數學還簡單！？173Please respect copyright.ＰＥＮＡＮＡQrm85VFjJk
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第二課 超精簡的創新數學課！173Please respect copyright.ＰＥＮＡＮＡvQh3kZUtOw
果斷刪去八成教科書內容！173Please respect copyright.ＰＥＮＡＮＡBATsJS6o9V
世界首創！「西成流」數學分類法173Please respect copyright.ＰＥＮＡＮＡJLOUaLbQ9t
高中數學中最輕鬆的是「代數」173Please respect copyright.ＰＥＮＡＮＡk78fewyOkE
高中數學的顛峰是「微分積分」173Please respect copyright.ＰＥＮＡＮＡam9IyvIFrb
超好用的工具「餘弦定理」173Please respect copyright.ＰＥＮＡＮＡXAy6B11fCg
真正的幾何大魔王是「向量」173Please respect copyright.ＰＥＮＡＮＡbyrJc5xxZz
Column文組無法理解數學的理由173Please respect copyright.ＰＥＮＡＮＡPPXmTqEbJD
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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！！173Please respect copyright.ＰＥＮＡＮＡsX5vUVL5WM
第一課 速速學會統計學基礎173Please respect copyright.ＰＥＮＡＮＡvsPTevu6pa
數據處理的3大必備條件173Please respect copyright.ＰＥＮＡＮＡOToWcbMp0F
為什麼增加個數很好用？173Please respect copyright.ＰＥＮＡＮＡY589NA562T
「排列組合」是指什麼？173Please respect copyright.ＰＥＮＡＮＡ3ewpKeD2Xf
看離散程度的「標準差」173Please respect copyright.ＰＥＮＡＮＡ0zLn2i4voi
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第二課 記住「數列相加」的方法173Please respect copyright.ＰＥＮＡＮＡwtVmjekzGu
天才高斯少年發現的「倒序相加」173Please respect copyright.ＰＥＮＡＮＡ71lM2u72v7
超好用！任何等差數列都能用173Please respect copyright.ＰＥＮＡＮＡ7mwQnIeVQB
嚴禁直接死背公式！173Please respect copyright.ＰＥＮＡＮＡWhqPBwiXQZ
導出等差數列和的公式173Please respect copyright.ＰＥＮＡＮＡwtxy1xzBO7
豐臣秀吉被擺了一道！數學變黃金的故事173Please respect copyright.ＰＥＮＡＮＡA2M50WYBPt
等比數列是「相乘後錯位相減」173Please respect copyright.ＰＥＮＡＮＡSjgSgtmqTQ
導出等比數列和的公式173Please respect copyright.ＰＥＮＡＮＡAOg351hy5t
先知道處理數列和的符號！173Please respect copyright.ＰＥＮＡＮＡhs1Ze1WYof
Column把數學記號當作是念魔咒173Please respect copyright.ＰＥＮＡＮＡDZrJ0hB1tT
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第三課 記住「排列組合法」173Please respect copyright.ＰＥＮＡＮＡWB3aIXyEGE
從賽馬了解「排列」與「組合」173Please respect copyright.ＰＥＮＡＮＡx7lXQWQ9PT
Step①了解階乘的計算方法173Please respect copyright.ＰＥＮＡＮＡb1uw6tJ8Gh
Step②了解排列的計算方法173Please respect copyright.ＰＥＮＡＮＡAqJshhRoU5
Step③了解組合的計算方法173Please respect copyright.ＰＥＮＡＮＡVxrxtsETi0
了解「排列」與「組合」的式子173Please respect copyright.ＰＥＮＡＮＡGdPqKzHVaJ
「排列」和「組合」的符號是「P」和「C」173Please respect copyright.ＰＥＮＡＮＡUgylvO9lhL
運用「排列」和「組合」排班表173Please respect copyright.ＰＥＮＡＮＡGeXOesL1Wb
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第四課 搞懂「離散值」和「標準差」173Please respect copyright.ＰＥＮＡＮＡh1DVS1y7ic
資訊分析的基礎是找到「數據的規則」173Please respect copyright.ＰＥＮＡＮＡ0uS3qb8kBc
兩個步驟找出離散程度173Please respect copyright.ＰＥＮＡＮＡ8zlH9ApvJH
平均、分散、標準差的深～度關係173Please respect copyright.ＰＥＮＡＮＡwv75o8Uw81
平均、離散、標準差的記號173Please respect copyright.ＰＥＮＡＮＡ2BZXizvlCv
試著用Excel計算標準差173Please respect copyright.ＰＥＮＡＮＡTqUNU1VoOI
也把「偏差值」的計算公式記起來173Please respect copyright.ＰＥＮＡＮＡF1twaDwxkX
附註內容①深奧的平均世界173Please respect copyright.ＰＥＮＡＮＡ2ASvVlEtMf
附註內容②平均值、中位數、眾數173Please respect copyright.ＰＥＮＡＮＡgvi9G5hglJ
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第三天 超爽快！掌握高中文組數學的「分析」！173Please respect copyright.ＰＥＮＡＮＡEhZgrpmKnx
第一課 豁然開朗！函數的世界173Please respect copyright.ＰＥＮＡＮＡ2id7ro7AI7
函數與方程式的差別？173Please respect copyright.ＰＥＮＡＮＡVjuXyv7Mhr
高中數學的4種函數173Please respect copyright.ＰＥＮＡＮＡu61Z01uqLb
Column少年西成的理科腦情書173Please respect copyright.ＰＥＮＡＮＡGm52CFikCM
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第二課 來複習二次函數！173Please respect copyright.ＰＥＮＡＮＡoZtRS8Ph85
速速複習！二次方程式173Please respect copyright.ＰＥＮＡＮＡVoJBkT6SkI
畫出二次函數的圖形！173Please respect copyright.ＰＥＮＡＮＡtemkOLDfl2
Column 物理學家是名偵探173Please respect copyright.ＰＥＮＡＮＡA6WV9WVSct
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第三課 指數函數超好用！173Please respect copyright.ＰＥＮＡＮＡKhcgKKxlWB
記住指數函數的相關用語173Please respect copyright.ＰＥＮＡＮＡONO74yXQPg
基本規則①乘冪相乘時，指數相加173Please respect copyright.ＰＥＮＡＮＡoK5Bhe4yFL
基本規則②乘冪再乘冪時，指數相乘173Please respect copyright.ＰＥＮＡＮＡ4KItLNKMbD
基本規則③乘冪相除時，指數相減173Please respect copyright.ＰＥＮＡＮＡfA8SYKt3Ea
指數是負數時會怎樣？173Please respect copyright.ＰＥＮＡＮＡossnjhRszB
指數是「0」的時候會怎樣？173Please respect copyright.ＰＥＮＡＮＡbG0QbyTwSp
根號可以轉換成指數運算173Please respect copyright.ＰＥＮＡＮＡgpjZmjWl47
統整指數運算的處理方式173Please respect copyright.ＰＥＮＡＮＡ5dU6KDN6f6
將指數函數做成圖形看看！173Please respect copyright.ＰＥＮＡＮＡPkxx2MQIyX
順便來談談「對數函數」的內容173Please respect copyright.ＰＥＮＡＮＡjQWF55gOdD
天文數字也可以處理的對數函數173Please respect copyright.ＰＥＮＡＮＡ06KWpJeezD
指數函數與音樂的深～度關係173Please respect copyright.ＰＥＮＡＮＡ0VhBulFHHz
用iPhone計算指數函數的方法173Please respect copyright.ＰＥＮＡＮＡD5W1ulyW0c
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第四天 秒懂高中數學的「幾何」精髓！173Please respect copyright.ＰＥＮＡＮＡxofpErE52i
第一課 不再霧煞煞的「三角比」173Please respect copyright.ＰＥＮＡＮＡqKK4IJmhVQ
以餘弦定理搞懂三角形173Please respect copyright.ＰＥＮＡＮＡ927gRRhAsE
畫三角形的「西成流」作法173Please respect copyright.ＰＥＮＡＮＡzeysOaiLPc
sin、cos、tan是指「邊長比」173Please respect copyright.ＰＥＮＡＮＡL10iQ7Hu5O
忘掉tan的存在吧！173Please respect copyright.ＰＥＮＡＮＡBH9v4aKBS9
直角三角形的定義中必要的θ173Please respect copyright.ＰＥＮＡＮＡR6ZY4p09nF
三角比經常出現的陷阱題173Please respect copyright.ＰＥＮＡＮＡRrZrKSHBlS
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第二課 俐落導出餘弦定理公式173Please respect copyright.ＰＥＮＡＮＡz2khKNjZfY
用三角比可以做的事173Please respect copyright.ＰＥＮＡＮＡjBYM2ok5in
導出餘弦定理①事前準備173Please respect copyright.ＰＥＮＡＮＡvCb3pRNe46
導出餘弦定理②成立公式、解開173Please respect copyright.ＰＥＮＡＮＡXC2if2h0Hy
導出餘弦定理③證明sin2θ+ cos2θ= 1173Please respect copyright.ＰＥＮＡＮＡ8NfFRcsSKF
導出餘弦定理④完成173Please respect copyright.ＰＥＮＡＮＡdMyrgMc4i1
餘弦定理與畢氏定理的關係173Please respect copyright.ＰＥＮＡＮＡZ6AxCB6Y7N
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第三課 學習最後的分析工具「三角函數」！173Please respect copyright.ＰＥＮＡＮＡj507HR2B0M
三角函數只是將θ與y的關係圖像化173Please respect copyright.ＰＥＮＡＮＡCHdaqQ1Aju
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第五天 特別課程①：幾何的最終武器「向量」！173Please respect copyright.ＰＥＮＡＮＡ8lYrudWt5c
第一課 偉大的「向量」173Please respect copyright.ＰＥＮＡＮＡSrooyVlp19
用代數解幾何問題！？173Please respect copyright.ＰＥＮＡＮＡJgtxG9v4K5
「短短數行」就能證明餘弦定理173Please respect copyright.ＰＥＮＡＮＡe5NenB4bG9
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第二課 了解「向量」的超嶄新概念173Please respect copyright.ＰＥＮＡＮＡfpwdiVsRas
向量是集結兩種資訊的「特殊容器」173Please respect copyright.ＰＥＮＡＮＡ0FOzo9BbxJ
眾所熟知的「純量」173Please respect copyright.ＰＥＮＡＮＡUri8d0BT46
數據時代的主角「張量」173Please respect copyright.ＰＥＮＡＮＡooPTGwEgfo
為什麼我們需要向量？173Please respect copyright.ＰＥＮＡＮＡwFBCu54nzR
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第三課 「向量」是用箭頭當作記號唷173Please respect copyright.ＰＥＮＡＮＡKZhHtoyqI1
向量的書寫規則173Please respect copyright.ＰＥＮＡＮＡgLSwT2zNXD
張量的畫法173Please respect copyright.ＰＥＮＡＮＡDJsEoyecAR
試著把向量畫成圖173Please respect copyright.ＰＥＮＡＮＡhKBmaznP0G
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第四課 「向量」的計算超簡單！173Please respect copyright.ＰＥＮＡＮＡViSBfVtqOx
來算算向量的加法吧173Please respect copyright.ＰＥＮＡＮＡbfeEcuUTD5
也來算算向量的減法173Please respect copyright.ＰＥＮＡＮＡGJVpEObyDa
試著分解向量吧173Please respect copyright.ＰＥＮＡＮＡ65ockZi6gt
試著挑戰向量的乘法173Please respect copyright.ＰＥＮＡＮＡ0EgnWe6q1g
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第五課 靠「向量」秒殺餘弦定理！173Please respect copyright.ＰＥＮＡＮＡaS0IqHJFYA
用向量瞬間導出餘弦定理！173Please respect copyright.ＰＥＮＡＮＡBUBYXiduD5
不論幾次元都能處理的向量173Please respect copyright.ＰＥＮＡＮＡTTWXqqRHX7
Column少年來了！（前篇）173Please respect copyright.ＰＥＮＡＮＡXjEMRCC62G
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第6天 特別課程②：用「微積分」預測未來！173Please respect copyright.ＰＥＮＡＮＡLoCiy8xT0t
第一課 人類的寶物！了解微分積分173Please respect copyright.ＰＥＮＡＮＡ0zp8A9PpLq
微分積分與函數的關係173Please respect copyright.ＰＥＮＡＮＡ4Ax5nTuXwJ
今天的主題是「三角形面積」173Please respect copyright.ＰＥＮＡＮＡa9oj8VXdCx
牛頓VS萊布尼茲的仁義之戰173Please respect copyright.ＰＥＮＡＮＡ1USMuHZuuc
怎麼區分最合適？173Please respect copyright.ＰＥＮＡＮＡQfifCrAwN3
用微積分計算三角形的面積！173Please respect copyright.ＰＥＮＡＮＡnLyawF9dNV
來認識微分積分的符號173Please respect copyright.ＰＥＮＡＮＡ6jMfzwydi3
Column少年來了！（後篇）173Please respect copyright.ＰＥＮＡＮＡTho6ZDdyh5
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第二課 用Excel預測未來！173Please respect copyright.ＰＥＮＡＮＡcWrL53DBuc
現代人，用Excel就能預測未來173Please respect copyright.ＰＥＮＡＮＡwyAbB1v71M
掌握Excel的使用方法！173Please respect copyright.ＰＥＮＡＮＡkqwXjAEgVR
「數學家」、「AI」、「統計學家」的差別173Please respect copyright.ＰＥＮＡＮＡV1K9Xm1rfk
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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！！
ns216.73.216.246da2
然後按「加至主畫面」