【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171Please respect copyright.ＰＥＮＡＮＡ4busjdyJ4f
登場人物介紹171Please respect copyright.ＰＥＮＡＮＡuHWTsHISN8
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第一天 數學的樂趣在哪裡？171Please respect copyright.ＰＥＮＡＮＡZgqbfE4AzG
第一課 其實並不可怕的高中數學171Please respect copyright.ＰＥＮＡＮＡd5zufUxL4F
好想學真正實用的數學！171Please respect copyright.ＰＥＮＡＮＡmd3dyGUFlZ
高中數學比國中數學還簡單！？171Please respect copyright.ＰＥＮＡＮＡX0EzCC4V2Y
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第二課 超精簡的創新數學課！171Please respect copyright.ＰＥＮＡＮＡhk1EHhexfZ
果斷刪去八成教科書內容！171Please respect copyright.ＰＥＮＡＮＡrrk8uMLrL5
世界首創！「西成流」數學分類法171Please respect copyright.ＰＥＮＡＮＡlqgGFVrVBQ
高中數學中最輕鬆的是「代數」171Please respect copyright.ＰＥＮＡＮＡN4QH1q2Syv
高中數學的顛峰是「微分積分」171Please respect copyright.ＰＥＮＡＮＡ0H6AKBKjVu
超好用的工具「餘弦定理」171Please respect copyright.ＰＥＮＡＮＡPXoDwKoI0U
真正的幾何大魔王是「向量」171Please respect copyright.ＰＥＮＡＮＡ3dYrPEAGh4
Column文組無法理解數學的理由171Please respect copyright.ＰＥＮＡＮＡhrjBBHcbo6
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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！！171Please respect copyright.ＰＥＮＡＮＡDyE45C3zHh
第一課 速速學會統計學基礎171Please respect copyright.ＰＥＮＡＮＡTxVGHjQBBQ
數據處理的3大必備條件171Please respect copyright.ＰＥＮＡＮＡudWpjYJmdp
為什麼增加個數很好用？171Please respect copyright.ＰＥＮＡＮＡw7Hka4Avh7
「排列組合」是指什麼？171Please respect copyright.ＰＥＮＡＮＡGbvRvJ3Lx3
看離散程度的「標準差」171Please respect copyright.ＰＥＮＡＮＡgJKxG4dP1c
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第二課 記住「數列相加」的方法171Please respect copyright.ＰＥＮＡＮＡpfL3UqTEFY
天才高斯少年發現的「倒序相加」171Please respect copyright.ＰＥＮＡＮＡoYvO63qZPY
超好用！任何等差數列都能用171Please respect copyright.ＰＥＮＡＮＡ6WSVO2Asy6
嚴禁直接死背公式！171Please respect copyright.ＰＥＮＡＮＡ5edJc2mLzf
導出等差數列和的公式171Please respect copyright.ＰＥＮＡＮＡaABK57phf0
豐臣秀吉被擺了一道！數學變黃金的故事171Please respect copyright.ＰＥＮＡＮＡ0xK4oHjiXV
等比數列是「相乘後錯位相減」171Please respect copyright.ＰＥＮＡＮＡ0DM77idnau
導出等比數列和的公式171Please respect copyright.ＰＥＮＡＮＡOtztEfmsdG
先知道處理數列和的符號！171Please respect copyright.ＰＥＮＡＮＡsFpN1pugdr
Column把數學記號當作是念魔咒171Please respect copyright.ＰＥＮＡＮＡV4OaIG1d1p
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第三課 記住「排列組合法」171Please respect copyright.ＰＥＮＡＮＡogIcGuJeef
從賽馬了解「排列」與「組合」171Please respect copyright.ＰＥＮＡＮＡSWe5Nj8ASe
Step①了解階乘的計算方法171Please respect copyright.ＰＥＮＡＮＡTlHRlTWmzG
Step②了解排列的計算方法171Please respect copyright.ＰＥＮＡＮＡdQcPGMQspO
Step③了解組合的計算方法171Please respect copyright.ＰＥＮＡＮＡPj7wepncx8
了解「排列」與「組合」的式子171Please respect copyright.ＰＥＮＡＮＡPzWd25LA7e
「排列」和「組合」的符號是「P」和「C」171Please respect copyright.ＰＥＮＡＮＡkiAQMXyxfA
運用「排列」和「組合」排班表171Please respect copyright.ＰＥＮＡＮＡGOfa7C7CfT
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第四課 搞懂「離散值」和「標準差」171Please respect copyright.ＰＥＮＡＮＡONeTx6MnIo
資訊分析的基礎是找到「數據的規則」171Please respect copyright.ＰＥＮＡＮＡ2pHLBVswZA
兩個步驟找出離散程度171Please respect copyright.ＰＥＮＡＮＡ8Evx8loGnl
平均、分散、標準差的深～度關係171Please respect copyright.ＰＥＮＡＮＡ3Zo2Jc0xaf
平均、離散、標準差的記號171Please respect copyright.ＰＥＮＡＮＡL8wowOMbvj
試著用Excel計算標準差171Please respect copyright.ＰＥＮＡＮＡtyZCO9G6ZJ
也把「偏差值」的計算公式記起來171Please respect copyright.ＰＥＮＡＮＡQ4TiLt7YMs
附註內容①深奧的平均世界171Please respect copyright.ＰＥＮＡＮＡeFdbUUy6aq
附註內容②平均值、中位數、眾數171Please respect copyright.ＰＥＮＡＮＡJDraFhL7ja
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第三天 超爽快！掌握高中文組數學的「分析」！171Please respect copyright.ＰＥＮＡＮＡW7dypUfelD
第一課 豁然開朗！函數的世界171Please respect copyright.ＰＥＮＡＮＡF4bGFboug1
函數與方程式的差別？171Please respect copyright.ＰＥＮＡＮＡj36L4cvL0T
高中數學的4種函數171Please respect copyright.ＰＥＮＡＮＡHplgnPsWmG
Column少年西成的理科腦情書171Please respect copyright.ＰＥＮＡＮＡOuJiQ5AFkg
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第二課 來複習二次函數！171Please respect copyright.ＰＥＮＡＮＡw8spBIL6T1
速速複習！二次方程式171Please respect copyright.ＰＥＮＡＮＡHfJpW2nAj1
畫出二次函數的圖形！171Please respect copyright.ＰＥＮＡＮＡzNS709XSjM
Column 物理學家是名偵探171Please respect copyright.ＰＥＮＡＮＡy8P4eLeSro
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第三課 指數函數超好用！171Please respect copyright.ＰＥＮＡＮＡbvxfs3x5Ct
記住指數函數的相關用語171Please respect copyright.ＰＥＮＡＮＡZ4Kb2U8KYO
基本規則①乘冪相乘時，指數相加171Please respect copyright.ＰＥＮＡＮＡCMOu0Dh1wK
基本規則②乘冪再乘冪時，指數相乘171Please respect copyright.ＰＥＮＡＮＡ3ieByrQsG4
基本規則③乘冪相除時，指數相減171Please respect copyright.ＰＥＮＡＮＡgfJRxvr29a
指數是負數時會怎樣？171Please respect copyright.ＰＥＮＡＮＡ8JNMR6TkQG
指數是「0」的時候會怎樣？171Please respect copyright.ＰＥＮＡＮＡlzBTOELCdF
根號可以轉換成指數運算171Please respect copyright.ＰＥＮＡＮＡKzT5wROPEB
統整指數運算的處理方式171Please respect copyright.ＰＥＮＡＮＡWocSMcUedP
將指數函數做成圖形看看！171Please respect copyright.ＰＥＮＡＮＡZBvAOo82qj
順便來談談「對數函數」的內容171Please respect copyright.ＰＥＮＡＮＡhKJv0ZHpOb
天文數字也可以處理的對數函數171Please respect copyright.ＰＥＮＡＮＡdQUB4z7lUM
指數函數與音樂的深～度關係171Please respect copyright.ＰＥＮＡＮＡvbrfO2PRQC
用iPhone計算指數函數的方法171Please respect copyright.ＰＥＮＡＮＡqZgaLqszoR
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第四天 秒懂高中數學的「幾何」精髓！171Please respect copyright.ＰＥＮＡＮＡ3jrMfdsRkS
第一課 不再霧煞煞的「三角比」171Please respect copyright.ＰＥＮＡＮＡXpZOQ89Mw5
以餘弦定理搞懂三角形171Please respect copyright.ＰＥＮＡＮＡhgywHDpmBZ
畫三角形的「西成流」作法171Please respect copyright.ＰＥＮＡＮＡRWkJ87pplp
sin、cos、tan是指「邊長比」171Please respect copyright.ＰＥＮＡＮＡ9aUbXazPWE
忘掉tan的存在吧！171Please respect copyright.ＰＥＮＡＮＡ6RAeNfL9lx
直角三角形的定義中必要的θ171Please respect copyright.ＰＥＮＡＮＡDAt7ikBaH7
三角比經常出現的陷阱題171Please respect copyright.ＰＥＮＡＮＡvY67DhUfJx
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第二課 俐落導出餘弦定理公式171Please respect copyright.ＰＥＮＡＮＡAHxPspdfQy
用三角比可以做的事171Please respect copyright.ＰＥＮＡＮＡOqb22m8MXd
導出餘弦定理①事前準備171Please respect copyright.ＰＥＮＡＮＡkZYqB4uqa5
導出餘弦定理②成立公式、解開171Please respect copyright.ＰＥＮＡＮＡEHGSVJYEOA
導出餘弦定理③證明sin2θ+ cos2θ= 1171Please respect copyright.ＰＥＮＡＮＡgjRCK7BU7F
導出餘弦定理④完成171Please respect copyright.ＰＥＮＡＮＡCcJDUcwXmq
餘弦定理與畢氏定理的關係171Please respect copyright.ＰＥＮＡＮＡojRN4UdYxE
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第三課 學習最後的分析工具「三角函數」！171Please respect copyright.ＰＥＮＡＮＡihQTFGGttR
三角函數只是將θ與y的關係圖像化171Please respect copyright.ＰＥＮＡＮＡiapuhJvOh9
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第五天 特別課程①：幾何的最終武器「向量」！171Please respect copyright.ＰＥＮＡＮＡmXCcfNnS0j
第一課 偉大的「向量」171Please respect copyright.ＰＥＮＡＮＡsoxzPppyIR
用代數解幾何問題！？171Please respect copyright.ＰＥＮＡＮＡlgmu8tMVHi
「短短數行」就能證明餘弦定理171Please respect copyright.ＰＥＮＡＮＡz6ajeshuY5
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第二課 了解「向量」的超嶄新概念171Please respect copyright.ＰＥＮＡＮＡyMTPOb10cY
向量是集結兩種資訊的「特殊容器」171Please respect copyright.ＰＥＮＡＮＡiUW8DwrKmO
眾所熟知的「純量」171Please respect copyright.ＰＥＮＡＮＡfrcJYy9TZG
數據時代的主角「張量」171Please respect copyright.ＰＥＮＡＮＡVIg5OvN6ES
為什麼我們需要向量？171Please respect copyright.ＰＥＮＡＮＡlI0JGerLoa
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第三課 「向量」是用箭頭當作記號唷171Please respect copyright.ＰＥＮＡＮＡYp3OX1ETXb
向量的書寫規則171Please respect copyright.ＰＥＮＡＮＡGVJ2hB5Zba
張量的畫法171Please respect copyright.ＰＥＮＡＮＡBmJlUUKExe
試著把向量畫成圖171Please respect copyright.ＰＥＮＡＮＡvxAhYyEFSr
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第四課 「向量」的計算超簡單！171Please respect copyright.ＰＥＮＡＮＡt25NB03uGX
來算算向量的加法吧171Please respect copyright.ＰＥＮＡＮＡqEJCzxGerp
也來算算向量的減法171Please respect copyright.ＰＥＮＡＮＡIn3HYLErLN
試著分解向量吧171Please respect copyright.ＰＥＮＡＮＡIQeCifCfXi
試著挑戰向量的乘法171Please respect copyright.ＰＥＮＡＮＡCgLMGoMMCP
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第五課 靠「向量」秒殺餘弦定理！171Please respect copyright.ＰＥＮＡＮＡeVoRcXjiPL
用向量瞬間導出餘弦定理！171Please respect copyright.ＰＥＮＡＮＡJxhwIYgJln
不論幾次元都能處理的向量171Please respect copyright.ＰＥＮＡＮＡ6PaomRomAo
Column少年來了！（前篇）171Please respect copyright.ＰＥＮＡＮＡWl9xk17XH1
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第6天 特別課程②：用「微積分」預測未來！171Please respect copyright.ＰＥＮＡＮＡH6cQHzHkmS
第一課 人類的寶物！了解微分積分171Please respect copyright.ＰＥＮＡＮＡ7ln640cjOz
微分積分與函數的關係171Please respect copyright.ＰＥＮＡＮＡARoYmrJFpK
今天的主題是「三角形面積」171Please respect copyright.ＰＥＮＡＮＡgViMhLMBHj
牛頓VS萊布尼茲的仁義之戰171Please respect copyright.ＰＥＮＡＮＡtKpQFtTYxC
怎麼區分最合適？171Please respect copyright.ＰＥＮＡＮＡo5w19vBFtN
用微積分計算三角形的面積！171Please respect copyright.ＰＥＮＡＮＡmmokeySrDz
來認識微分積分的符號171Please respect copyright.ＰＥＮＡＮＡQwpCEnj3XA
Column少年來了！（後篇）171Please respect copyright.ＰＥＮＡＮＡ3DuXzP5fGo
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第二課 用Excel預測未來！171Please respect copyright.ＰＥＮＡＮＡsJWnqjhbDa
現代人，用Excel就能預測未來171Please respect copyright.ＰＥＮＡＮＡoXrX6FGEkz
掌握Excel的使用方法！171Please respect copyright.ＰＥＮＡＮＡJYn00kw2hy
「數學家」、「AI」、「統計學家」的差別171Please respect copyright.ＰＥＮＡＮＡYCmzD5SiF6
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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
and then Add to home screen.