【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100Please respect copyright.ＰＥＮＡＮＡTGzt89ZQW7
登場人物介紹100Please respect copyright.ＰＥＮＡＮＡ0ISrC3jm4g
100Please respect copyright.ＰＥＮＡＮＡpV1G7UtNOj
第一天 數學的樂趣在哪裡？100Please respect copyright.ＰＥＮＡＮＡaZpVKR8Ii5
第一課 其實並不可怕的高中數學100Please respect copyright.ＰＥＮＡＮＡyZnoFGf2q0
好想學真正實用的數學！100Please respect copyright.ＰＥＮＡＮＡrkWeVXAVWI
高中數學比國中數學還簡單！？100Please respect copyright.ＰＥＮＡＮＡ50wrPNKb8I
100Please respect copyright.ＰＥＮＡＮＡ39a3siVh5Q
第二課 超精簡的創新數學課！100Please respect copyright.ＰＥＮＡＮＡRLiGODN8YS
果斷刪去八成教科書內容！100Please respect copyright.ＰＥＮＡＮＡBybiBQjntf
世界首創！「西成流」數學分類法100Please respect copyright.ＰＥＮＡＮＡSCT82DL0s3
高中數學中最輕鬆的是「代數」100Please respect copyright.ＰＥＮＡＮＡTwOpFrIUEL
高中數學的顛峰是「微分積分」100Please respect copyright.ＰＥＮＡＮＡN79QHI5W2n
超好用的工具「餘弦定理」100Please respect copyright.ＰＥＮＡＮＡf3AtFRpjvm
真正的幾何大魔王是「向量」100Please respect copyright.ＰＥＮＡＮＡlpRr2LICkz
Column文組無法理解數學的理由100Please respect copyright.ＰＥＮＡＮＡb6niAw4JXx
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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！！100Please respect copyright.ＰＥＮＡＮＡVImLca8Usq
第一課 速速學會統計學基礎100Please respect copyright.ＰＥＮＡＮＡta36QaYTJp
數據處理的3大必備條件100Please respect copyright.ＰＥＮＡＮＡ5NriFbEqqC
為什麼增加個數很好用？100Please respect copyright.ＰＥＮＡＮＡMoc5e0d2M6
「排列組合」是指什麼？100Please respect copyright.ＰＥＮＡＮＡbn7Ul9O5tW
看離散程度的「標準差」100Please respect copyright.ＰＥＮＡＮＡB82SctC6rI
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第二課 記住「數列相加」的方法100Please respect copyright.ＰＥＮＡＮＡJIFOJDkXaN
天才高斯少年發現的「倒序相加」100Please respect copyright.ＰＥＮＡＮＡ53vi19ShO1
超好用！任何等差數列都能用100Please respect copyright.ＰＥＮＡＮＡK423LlCa8F
嚴禁直接死背公式！100Please respect copyright.ＰＥＮＡＮＡEHhiqVYi0z
導出等差數列和的公式100Please respect copyright.ＰＥＮＡＮＡyXUh0Btvb8
豐臣秀吉被擺了一道！數學變黃金的故事100Please respect copyright.ＰＥＮＡＮＡzTgUmPrGj3
等比數列是「相乘後錯位相減」100Please respect copyright.ＰＥＮＡＮＡPEb9hhgRxv
導出等比數列和的公式100Please respect copyright.ＰＥＮＡＮＡG9edB14G0C
先知道處理數列和的符號！100Please respect copyright.ＰＥＮＡＮＡyCvRUm05e9
Column把數學記號當作是念魔咒100Please respect copyright.ＰＥＮＡＮＡYL2VDEDzdD
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第三課 記住「排列組合法」100Please respect copyright.ＰＥＮＡＮＡ5iwiEDHsd4
從賽馬了解「排列」與「組合」100Please respect copyright.ＰＥＮＡＮＡIcXKw6Ni5P
Step①了解階乘的計算方法100Please respect copyright.ＰＥＮＡＮＡp3m0Sbmfdt
Step②了解排列的計算方法100Please respect copyright.ＰＥＮＡＮＡkKhxHBmz5e
Step③了解組合的計算方法100Please respect copyright.ＰＥＮＡＮＡIJ9SXBJAkM
了解「排列」與「組合」的式子100Please respect copyright.ＰＥＮＡＮＡfaoHHGu8sW
「排列」和「組合」的符號是「P」和「C」100Please respect copyright.ＰＥＮＡＮＡuEMHjc8g3X
運用「排列」和「組合」排班表100Please respect copyright.ＰＥＮＡＮＡz7j0e9ddXD
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第四課 搞懂「離散值」和「標準差」100Please respect copyright.ＰＥＮＡＮＡfvxeiHJyqz
資訊分析的基礎是找到「數據的規則」100Please respect copyright.ＰＥＮＡＮＡIeRL5jOxfg
兩個步驟找出離散程度100Please respect copyright.ＰＥＮＡＮＡ0jMDf8XyK9
平均、分散、標準差的深～度關係100Please respect copyright.ＰＥＮＡＮＡfjEOU8DO9q
平均、離散、標準差的記號100Please respect copyright.ＰＥＮＡＮＡt5JlEJtMnf
試著用Excel計算標準差100Please respect copyright.ＰＥＮＡＮＡbhWqYInlzy
也把「偏差值」的計算公式記起來100Please respect copyright.ＰＥＮＡＮＡn110r4eIqM
附註內容①深奧的平均世界100Please respect copyright.ＰＥＮＡＮＡVMUrz6YVxe
附註內容②平均值、中位數、眾數100Please respect copyright.ＰＥＮＡＮＡqdo1ecYBsJ
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第三天 超爽快！掌握高中文組數學的「分析」！100Please respect copyright.ＰＥＮＡＮＡQZPHdWZkbJ
第一課 豁然開朗！函數的世界100Please respect copyright.ＰＥＮＡＮＡwc7HuCQmcd
函數與方程式的差別？100Please respect copyright.ＰＥＮＡＮＡUACXgsmwhG
高中數學的4種函數100Please respect copyright.ＰＥＮＡＮＡYixCV2MfPL
Column少年西成的理科腦情書100Please respect copyright.ＰＥＮＡＮＡZGSQWgTL7t
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第二課 來複習二次函數！100Please respect copyright.ＰＥＮＡＮＡFJth7k2h2n
速速複習！二次方程式100Please respect copyright.ＰＥＮＡＮＡJKjWSz4y3d
畫出二次函數的圖形！100Please respect copyright.ＰＥＮＡＮＡEYoKf6iwV0
Column 物理學家是名偵探100Please respect copyright.ＰＥＮＡＮＡb11Fc7zsfR
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第三課 指數函數超好用！100Please respect copyright.ＰＥＮＡＮＡ182p2G7Wqz
記住指數函數的相關用語100Please respect copyright.ＰＥＮＡＮＡn3fUTE1Irz
基本規則①乘冪相乘時，指數相加100Please respect copyright.ＰＥＮＡＮＡ6mjsC8zrWP
基本規則②乘冪再乘冪時，指數相乘100Please respect copyright.ＰＥＮＡＮＡPhbTmR5qeq
基本規則③乘冪相除時，指數相減100Please respect copyright.ＰＥＮＡＮＡo78x3s8F3z
指數是負數時會怎樣？100Please respect copyright.ＰＥＮＡＮＡFMbIM4AT2I
指數是「0」的時候會怎樣？100Please respect copyright.ＰＥＮＡＮＡ4oAqQHryWq
根號可以轉換成指數運算100Please respect copyright.ＰＥＮＡＮＡt5lUAddipY
統整指數運算的處理方式100Please respect copyright.ＰＥＮＡＮＡiYdbeLfvkX
將指數函數做成圖形看看！100Please respect copyright.ＰＥＮＡＮＡzOShS9OrSO
順便來談談「對數函數」的內容100Please respect copyright.ＰＥＮＡＮＡv0bi700w7h
天文數字也可以處理的對數函數100Please respect copyright.ＰＥＮＡＮＡe8UtMeOCZy
指數函數與音樂的深～度關係100Please respect copyright.ＰＥＮＡＮＡoNNJRO3Qve
用iPhone計算指數函數的方法100Please respect copyright.ＰＥＮＡＮＡvF82z56whv
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第四天 秒懂高中數學的「幾何」精髓！100Please respect copyright.ＰＥＮＡＮＡnKhsw7tJh6
第一課 不再霧煞煞的「三角比」100Please respect copyright.ＰＥＮＡＮＡIJ8Ke9NixG
以餘弦定理搞懂三角形100Please respect copyright.ＰＥＮＡＮＡkRNYls4izH
畫三角形的「西成流」作法100Please respect copyright.ＰＥＮＡＮＡJTk5nat2Ex
sin、cos、tan是指「邊長比」100Please respect copyright.ＰＥＮＡＮＡk3sgiHc8W2
忘掉tan的存在吧！100Please respect copyright.ＰＥＮＡＮＡWMhTBy5kU5
直角三角形的定義中必要的θ100Please respect copyright.ＰＥＮＡＮＡzwmoqVobKz
三角比經常出現的陷阱題100Please respect copyright.ＰＥＮＡＮＡM0G7fQjWOw
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第二課 俐落導出餘弦定理公式100Please respect copyright.ＰＥＮＡＮＡ5ecOgQYlz4
用三角比可以做的事100Please respect copyright.ＰＥＮＡＮＡopnHMrlecH
導出餘弦定理①事前準備100Please respect copyright.ＰＥＮＡＮＡ18j7Lg8xYQ
導出餘弦定理②成立公式、解開100Please respect copyright.ＰＥＮＡＮＡf5PIyIiG0i
導出餘弦定理③證明sin2θ+ cos2θ= 1100Please respect copyright.ＰＥＮＡＮＡ4vsd66WIwJ
導出餘弦定理④完成100Please respect copyright.ＰＥＮＡＮＡyfmrMGCfDO
餘弦定理與畢氏定理的關係100Please respect copyright.ＰＥＮＡＮＡz4WsWx9rQa
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第三課 學習最後的分析工具「三角函數」！100Please respect copyright.ＰＥＮＡＮＡv33cdzijWM
三角函數只是將θ與y的關係圖像化100Please respect copyright.ＰＥＮＡＮＡ7MifTSxb2m
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第五天 特別課程①：幾何的最終武器「向量」！100Please respect copyright.ＰＥＮＡＮＡkxp19wwMMn
第一課 偉大的「向量」100Please respect copyright.ＰＥＮＡＮＡs8KsBXysRd
用代數解幾何問題！？100Please respect copyright.ＰＥＮＡＮＡi9dR2q7Y8U
「短短數行」就能證明餘弦定理100Please respect copyright.ＰＥＮＡＮＡg3fzRQSVKe
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第二課 了解「向量」的超嶄新概念100Please respect copyright.ＰＥＮＡＮＡNUoBrrPLVY
向量是集結兩種資訊的「特殊容器」100Please respect copyright.ＰＥＮＡＮＡmydVzwC9uI
眾所熟知的「純量」100Please respect copyright.ＰＥＮＡＮＡMP0ieIHldZ
數據時代的主角「張量」100Please respect copyright.ＰＥＮＡＮＡH9wNgURKGa
為什麼我們需要向量？100Please respect copyright.ＰＥＮＡＮＡgyS4F800OO
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第三課 「向量」是用箭頭當作記號唷100Please respect copyright.ＰＥＮＡＮＡChmGDcRc3r
向量的書寫規則100Please respect copyright.ＰＥＮＡＮＡ6uZbKcQfxB
張量的畫法100Please respect copyright.ＰＥＮＡＮＡHwgGuMXKGb
試著把向量畫成圖100Please respect copyright.ＰＥＮＡＮＡ192jpTlELn
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第四課 「向量」的計算超簡單！100Please respect copyright.ＰＥＮＡＮＡK8Ptx7VmUN
來算算向量的加法吧100Please respect copyright.ＰＥＮＡＮＡeMa435UuyV
也來算算向量的減法100Please respect copyright.ＰＥＮＡＮＡopO62IvDMJ
試著分解向量吧100Please respect copyright.ＰＥＮＡＮＡCosu44ogGJ
試著挑戰向量的乘法100Please respect copyright.ＰＥＮＡＮＡz2xbCI0dAl
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第五課 靠「向量」秒殺餘弦定理！100Please respect copyright.ＰＥＮＡＮＡf2Ny4TQau7
用向量瞬間導出餘弦定理！100Please respect copyright.ＰＥＮＡＮＡgZndE8FSxz
不論幾次元都能處理的向量100Please respect copyright.ＰＥＮＡＮＡTBVumpaETI
Column少年來了！（前篇）100Please respect copyright.ＰＥＮＡＮＡpszuBu3cCj
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第6天 特別課程②：用「微積分」預測未來！100Please respect copyright.ＰＥＮＡＮＡHhDPOoYCdz
第一課 人類的寶物！了解微分積分100Please respect copyright.ＰＥＮＡＮＡKMA5WzbWkv
微分積分與函數的關係100Please respect copyright.ＰＥＮＡＮＡgpamVfLLWu
今天的主題是「三角形面積」100Please respect copyright.ＰＥＮＡＮＡVrW08RZBK8
牛頓VS萊布尼茲的仁義之戰100Please respect copyright.ＰＥＮＡＮＡwgjKxhhIKb
怎麼區分最合適？100Please respect copyright.ＰＥＮＡＮＡxGaglIYRd0
用微積分計算三角形的面積！100Please respect copyright.ＰＥＮＡＮＡvZwo67isLA
來認識微分積分的符號100Please respect copyright.ＰＥＮＡＮＡB4ZYx8degY
Column少年來了！（後篇）100Please respect copyright.ＰＥＮＡＮＡ1nvLesCQyo
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第二課 用Excel預測未來！100Please respect copyright.ＰＥＮＡＮＡWAo6LvMDQh
現代人，用Excel就能預測未來100Please respect copyright.ＰＥＮＡＮＡD0KejBfz1D
掌握Excel的使用方法！100Please respect copyright.ＰＥＮＡＮＡBYNWcKnRg7
「數學家」、「AI」、「統計學家」的差別100Please respect copyright.ＰＥＮＡＮＡYTT4F8lSHP
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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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