【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99Please respect copyright.ＰＥＮＡＮＡ9TAvfF8k8P
登場人物介紹99Please respect copyright.ＰＥＮＡＮＡp9v5OjVlWb
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第一天 數學的樂趣在哪裡？99Please respect copyright.ＰＥＮＡＮＡnJ9aQRaoGB
第一課 其實並不可怕的高中數學99Please respect copyright.ＰＥＮＡＮＡtEdIkrHK2L
好想學真正實用的數學！99Please respect copyright.ＰＥＮＡＮＡmieDfVYcJd
高中數學比國中數學還簡單！？99Please respect copyright.ＰＥＮＡＮＡklhRvAhidV
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第二課 超精簡的創新數學課！99Please respect copyright.ＰＥＮＡＮＡLMPV4FHBBW
果斷刪去八成教科書內容！99Please respect copyright.ＰＥＮＡＮＡcr8RS880qq
世界首創！「西成流」數學分類法99Please respect copyright.ＰＥＮＡＮＡU9YJBpLxMl
高中數學中最輕鬆的是「代數」99Please respect copyright.ＰＥＮＡＮＡVmeb5h5jkg
高中數學的顛峰是「微分積分」99Please respect copyright.ＰＥＮＡＮＡY8iWqjC6VO
超好用的工具「餘弦定理」99Please respect copyright.ＰＥＮＡＮＡAmWaZrfU8v
真正的幾何大魔王是「向量」99Please respect copyright.ＰＥＮＡＮＡ7y5jLXX9l8
Column文組無法理解數學的理由99Please respect copyright.ＰＥＮＡＮＡNjGlLLzyqC
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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！！99Please respect copyright.ＰＥＮＡＮＡuNJaJNqUZX
第一課 速速學會統計學基礎99Please respect copyright.ＰＥＮＡＮＡaeOfktCuB7
數據處理的3大必備條件99Please respect copyright.ＰＥＮＡＮＡm1a5HNeHyN
為什麼增加個數很好用？99Please respect copyright.ＰＥＮＡＮＡXZeLwm3nFI
「排列組合」是指什麼？99Please respect copyright.ＰＥＮＡＮＡ0nizoR3AfS
看離散程度的「標準差」99Please respect copyright.ＰＥＮＡＮＡytcYVtw1AG
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第二課 記住「數列相加」的方法99Please respect copyright.ＰＥＮＡＮＡYetOk8W8cB
天才高斯少年發現的「倒序相加」99Please respect copyright.ＰＥＮＡＮＡYyOShiMqgY
超好用！任何等差數列都能用99Please respect copyright.ＰＥＮＡＮＡMVldTT2PrE
嚴禁直接死背公式！99Please respect copyright.ＰＥＮＡＮＡz86lXCGXXI
導出等差數列和的公式99Please respect copyright.ＰＥＮＡＮＡ9flzyOVgod
豐臣秀吉被擺了一道！數學變黃金的故事99Please respect copyright.ＰＥＮＡＮＡgWDz82fkrk
等比數列是「相乘後錯位相減」99Please respect copyright.ＰＥＮＡＮＡ7YsczCIbX6
導出等比數列和的公式99Please respect copyright.ＰＥＮＡＮＡSZ8YcZu2cZ
先知道處理數列和的符號！99Please respect copyright.ＰＥＮＡＮＡdFMTP1iJNR
Column把數學記號當作是念魔咒99Please respect copyright.ＰＥＮＡＮＡY65DF0xFnV
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第三課 記住「排列組合法」99Please respect copyright.ＰＥＮＡＮＡ9BPbwN9trw
從賽馬了解「排列」與「組合」99Please respect copyright.ＰＥＮＡＮＡUPOoVPdwt5
Step①了解階乘的計算方法99Please respect copyright.ＰＥＮＡＮＡbfxUerMoYf
Step②了解排列的計算方法99Please respect copyright.ＰＥＮＡＮＡfJiVgxCXpZ
Step③了解組合的計算方法99Please respect copyright.ＰＥＮＡＮＡSwc6ovflMc
了解「排列」與「組合」的式子99Please respect copyright.ＰＥＮＡＮＡdIHhMtnvP9
「排列」和「組合」的符號是「P」和「C」99Please respect copyright.ＰＥＮＡＮＡrXPIu5a9Fd
運用「排列」和「組合」排班表99Please respect copyright.ＰＥＮＡＮＡpNFjevUHlP
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第四課 搞懂「離散值」和「標準差」99Please respect copyright.ＰＥＮＡＮＡD1OIEsSgnE
資訊分析的基礎是找到「數據的規則」99Please respect copyright.ＰＥＮＡＮＡgCI3IQq52B
兩個步驟找出離散程度99Please respect copyright.ＰＥＮＡＮＡMPaoVpAHtH
平均、分散、標準差的深～度關係99Please respect copyright.ＰＥＮＡＮＡLh1sxShnJp
平均、離散、標準差的記號99Please respect copyright.ＰＥＮＡＮＡDH0TXIQkgj
試著用Excel計算標準差99Please respect copyright.ＰＥＮＡＮＡW9cBgaYegm
也把「偏差值」的計算公式記起來99Please respect copyright.ＰＥＮＡＮＡ5yT6DxeI50
附註內容①深奧的平均世界99Please respect copyright.ＰＥＮＡＮＡrEIANHhlQm
附註內容②平均值、中位數、眾數99Please respect copyright.ＰＥＮＡＮＡl0GlsINpuy
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第三天 超爽快！掌握高中文組數學的「分析」！99Please respect copyright.ＰＥＮＡＮＡL5VidtPkdQ
第一課 豁然開朗！函數的世界99Please respect copyright.ＰＥＮＡＮＡvfiJHpmOjd
函數與方程式的差別？99Please respect copyright.ＰＥＮＡＮＡVapIR9LrLx
高中數學的4種函數99Please respect copyright.ＰＥＮＡＮＡhvDple9wpK
Column少年西成的理科腦情書99Please respect copyright.ＰＥＮＡＮＡ6wDM8yVsf2
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第二課 來複習二次函數！99Please respect copyright.ＰＥＮＡＮＡpbYdV3pGz6
速速複習！二次方程式99Please respect copyright.ＰＥＮＡＮＡH8pprSvurY
畫出二次函數的圖形！99Please respect copyright.ＰＥＮＡＮＡ9YQiC8OEWu
Column 物理學家是名偵探99Please respect copyright.ＰＥＮＡＮＡxRNmKVWLCi
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第三課 指數函數超好用！99Please respect copyright.ＰＥＮＡＮＡa2iZbxUr29
記住指數函數的相關用語99Please respect copyright.ＰＥＮＡＮＡSBSmK91wBC
基本規則①乘冪相乘時，指數相加99Please respect copyright.ＰＥＮＡＮＡ6md2UGLJA0
基本規則②乘冪再乘冪時，指數相乘99Please respect copyright.ＰＥＮＡＮＡJYSWBy7rPx
基本規則③乘冪相除時，指數相減99Please respect copyright.ＰＥＮＡＮＡ0QZzwdfvJt
指數是負數時會怎樣？99Please respect copyright.ＰＥＮＡＮＡbcMyZWP9BZ
指數是「0」的時候會怎樣？99Please respect copyright.ＰＥＮＡＮＡhOoWTCsHUj
根號可以轉換成指數運算99Please respect copyright.ＰＥＮＡＮＡTHSyWCtRh6
統整指數運算的處理方式99Please respect copyright.ＰＥＮＡＮＡY8gJwcEU3s
將指數函數做成圖形看看！99Please respect copyright.ＰＥＮＡＮＡ3liNgwWjRr
順便來談談「對數函數」的內容99Please respect copyright.ＰＥＮＡＮＡjnl4K34SHe
天文數字也可以處理的對數函數99Please respect copyright.ＰＥＮＡＮＡitdC4vUYEb
指數函數與音樂的深～度關係99Please respect copyright.ＰＥＮＡＮＡyyEh6koLe1
用iPhone計算指數函數的方法99Please respect copyright.ＰＥＮＡＮＡiZyORlavq0
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第四天 秒懂高中數學的「幾何」精髓！99Please respect copyright.ＰＥＮＡＮＡ7S7Z57F2H7
第一課 不再霧煞煞的「三角比」99Please respect copyright.ＰＥＮＡＮＡe7RT8EtMAD
以餘弦定理搞懂三角形99Please respect copyright.ＰＥＮＡＮＡ3B9mVLj9FT
畫三角形的「西成流」作法99Please respect copyright.ＰＥＮＡＮＡC7jtiFAE6Z
sin、cos、tan是指「邊長比」99Please respect copyright.ＰＥＮＡＮＡRYCm3hXH01
忘掉tan的存在吧！99Please respect copyright.ＰＥＮＡＮＡ74wUNKcG5n
直角三角形的定義中必要的θ99Please respect copyright.ＰＥＮＡＮＡqsT447silB
三角比經常出現的陷阱題99Please respect copyright.ＰＥＮＡＮＡESua4qL9eG
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第二課 俐落導出餘弦定理公式99Please respect copyright.ＰＥＮＡＮＡEiIISDJgfn
用三角比可以做的事99Please respect copyright.ＰＥＮＡＮＡwlxbo806V0
導出餘弦定理①事前準備99Please respect copyright.ＰＥＮＡＮＡ7Nj10aeEj7
導出餘弦定理②成立公式、解開99Please respect copyright.ＰＥＮＡＮＡ2qp6jsMaxI
導出餘弦定理③證明sin2θ+ cos2θ= 199Please respect copyright.ＰＥＮＡＮＡa0ujdVNWDc
導出餘弦定理④完成99Please respect copyright.ＰＥＮＡＮＡsalYDJX3O7
餘弦定理與畢氏定理的關係99Please respect copyright.ＰＥＮＡＮＡK5CBHEnupJ
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第三課 學習最後的分析工具「三角函數」！99Please respect copyright.ＰＥＮＡＮＡSeU9IzQfFX
三角函數只是將θ與y的關係圖像化99Please respect copyright.ＰＥＮＡＮＡyISGncPwHC
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第五天 特別課程①：幾何的最終武器「向量」！99Please respect copyright.ＰＥＮＡＮＡIS96gSxqe3
第一課 偉大的「向量」99Please respect copyright.ＰＥＮＡＮＡ8f59oBYEsf
用代數解幾何問題！？99Please respect copyright.ＰＥＮＡＮＡthENzED5rQ
「短短數行」就能證明餘弦定理99Please respect copyright.ＰＥＮＡＮＡKJ6uSEml2g
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第二課 了解「向量」的超嶄新概念99Please respect copyright.ＰＥＮＡＮＡOPgHVSSq3T
向量是集結兩種資訊的「特殊容器」99Please respect copyright.ＰＥＮＡＮＡgP0bFtV3we
眾所熟知的「純量」99Please respect copyright.ＰＥＮＡＮＡlzA0knzohp
數據時代的主角「張量」99Please respect copyright.ＰＥＮＡＮＡfHPzC2Ung0
為什麼我們需要向量？99Please respect copyright.ＰＥＮＡＮＡAzALooEfpK
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第三課 「向量」是用箭頭當作記號唷99Please respect copyright.ＰＥＮＡＮＡHqOFudfyZe
向量的書寫規則99Please respect copyright.ＰＥＮＡＮＡIEx8Pi4LeO
張量的畫法99Please respect copyright.ＰＥＮＡＮＡNPc41OLqm3
試著把向量畫成圖99Please respect copyright.ＰＥＮＡＮＡlOwD01T6Sk
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第四課 「向量」的計算超簡單！99Please respect copyright.ＰＥＮＡＮＡqYC9px581s
來算算向量的加法吧99Please respect copyright.ＰＥＮＡＮＡvqokbkKinR
也來算算向量的減法99Please respect copyright.ＰＥＮＡＮＡ6JsrjAF4dK
試著分解向量吧99Please respect copyright.ＰＥＮＡＮＡPHeIFh8jzp
試著挑戰向量的乘法99Please respect copyright.ＰＥＮＡＮＡQdKIJ3WyAp
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第五課 靠「向量」秒殺餘弦定理！99Please respect copyright.ＰＥＮＡＮＡg1DvsRfwj3
用向量瞬間導出餘弦定理！99Please respect copyright.ＰＥＮＡＮＡMjBQYTz63y
不論幾次元都能處理的向量99Please respect copyright.ＰＥＮＡＮＡBvGWxiqmeq
Column少年來了！（前篇）99Please respect copyright.ＰＥＮＡＮＡdOc3ZJJ1hx
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第6天 特別課程②：用「微積分」預測未來！99Please respect copyright.ＰＥＮＡＮＡmi5NQWYrWy
第一課 人類的寶物！了解微分積分99Please respect copyright.ＰＥＮＡＮＡnNxOCd2Eua
微分積分與函數的關係99Please respect copyright.ＰＥＮＡＮＡ62KhJ7JIQZ
今天的主題是「三角形面積」99Please respect copyright.ＰＥＮＡＮＡMMecjmFuUr
牛頓VS萊布尼茲的仁義之戰99Please respect copyright.ＰＥＮＡＮＡevVvw3VBsP
怎麼區分最合適？99Please respect copyright.ＰＥＮＡＮＡYolo5DI8ug
用微積分計算三角形的面積！99Please respect copyright.ＰＥＮＡＮＡnwNuY6jzbY
來認識微分積分的符號99Please respect copyright.ＰＥＮＡＮＡOT1Gvk9vdC
Column少年來了！（後篇）99Please respect copyright.ＰＥＮＡＮＡN7DQDArxdH
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第二課 用Excel預測未來！99Please respect copyright.ＰＥＮＡＮＡ4On7Jx6YtP
現代人，用Excel就能預測未來99Please respect copyright.ＰＥＮＡＮＡ8sN6dXpfTV
掌握Excel的使用方法！99Please respect copyright.ＰＥＮＡＮＡl3Ub4E3GyP
「數學家」、「AI」、「統計學家」的差別99Please respect copyright.ＰＥＮＡＮＡtTEomRP7Xp
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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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