【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103Please respect copyright.ＰＥＮＡＮＡ1kvZkd1kzF
登場人物介紹103Please respect copyright.ＰＥＮＡＮＡqOW4RjQ2wg
103Please respect copyright.ＰＥＮＡＮＡGXrIf7FlLI
第一天 數學的樂趣在哪裡？103Please respect copyright.ＰＥＮＡＮＡiVytUapV5M
第一課 其實並不可怕的高中數學103Please respect copyright.ＰＥＮＡＮＡWXdsSoD4DF
好想學真正實用的數學！103Please respect copyright.ＰＥＮＡＮＡM38eGENrgG
高中數學比國中數學還簡單！？103Please respect copyright.ＰＥＮＡＮＡkpRutDWcwg
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第二課 超精簡的創新數學課！103Please respect copyright.ＰＥＮＡＮＡhX8wUWTAsw
果斷刪去八成教科書內容！103Please respect copyright.ＰＥＮＡＮＡTxmPH2HUSk
世界首創！「西成流」數學分類法103Please respect copyright.ＰＥＮＡＮＡD6yUcyrLxy
高中數學中最輕鬆的是「代數」103Please respect copyright.ＰＥＮＡＮＡEPfNxATOxA
高中數學的顛峰是「微分積分」103Please respect copyright.ＰＥＮＡＮＡnx2RCaIMfe
超好用的工具「餘弦定理」103Please respect copyright.ＰＥＮＡＮＡXCLKHUVSxd
真正的幾何大魔王是「向量」103Please respect copyright.ＰＥＮＡＮＡAF7z2nysT3
Column文組無法理解數學的理由103Please respect copyright.ＰＥＮＡＮＡFv5HTv3Y7r
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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！！103Please respect copyright.ＰＥＮＡＮＡJ9rBmSpC6Z
第一課 速速學會統計學基礎103Please respect copyright.ＰＥＮＡＮＡLvsmQMbbQ5
數據處理的3大必備條件103Please respect copyright.ＰＥＮＡＮＡUYXu3p1wGj
為什麼增加個數很好用？103Please respect copyright.ＰＥＮＡＮＡkmfX81RORF
「排列組合」是指什麼？103Please respect copyright.ＰＥＮＡＮＡ2VOL9sAjjx
看離散程度的「標準差」103Please respect copyright.ＰＥＮＡＮＡXkORM2XQR3
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第二課 記住「數列相加」的方法103Please respect copyright.ＰＥＮＡＮＡw0Nppk19cC
天才高斯少年發現的「倒序相加」103Please respect copyright.ＰＥＮＡＮＡ4gROf7bhjy
超好用！任何等差數列都能用103Please respect copyright.ＰＥＮＡＮＡHcax5QUsTI
嚴禁直接死背公式！103Please respect copyright.ＰＥＮＡＮＡ8AeHzicRXk
導出等差數列和的公式103Please respect copyright.ＰＥＮＡＮＡZUcnS3YKnR
豐臣秀吉被擺了一道！數學變黃金的故事103Please respect copyright.ＰＥＮＡＮＡpiK6Qtd7GR
等比數列是「相乘後錯位相減」103Please respect copyright.ＰＥＮＡＮＡUYvLlFOhEG
導出等比數列和的公式103Please respect copyright.ＰＥＮＡＮＡgBypXxSCqW
先知道處理數列和的符號！103Please respect copyright.ＰＥＮＡＮＡhEjlTNMfmR
Column把數學記號當作是念魔咒103Please respect copyright.ＰＥＮＡＮＡIWqQ4C7wrQ
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第三課 記住「排列組合法」103Please respect copyright.ＰＥＮＡＮＡhnKtdSBxGq
從賽馬了解「排列」與「組合」103Please respect copyright.ＰＥＮＡＮＡoyiUlAK8tp
Step①了解階乘的計算方法103Please respect copyright.ＰＥＮＡＮＡueSGr2caQl
Step②了解排列的計算方法103Please respect copyright.ＰＥＮＡＮＡWsnqCVtEVT
Step③了解組合的計算方法103Please respect copyright.ＰＥＮＡＮＡtC7WT4DvOm
了解「排列」與「組合」的式子103Please respect copyright.ＰＥＮＡＮＡd6e3swvn7c
「排列」和「組合」的符號是「P」和「C」103Please respect copyright.ＰＥＮＡＮＡ9NtTJzXJfH
運用「排列」和「組合」排班表103Please respect copyright.ＰＥＮＡＮＡYeHHJgLjI5
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第四課 搞懂「離散值」和「標準差」103Please respect copyright.ＰＥＮＡＮＡ5hBSElL5ir
資訊分析的基礎是找到「數據的規則」103Please respect copyright.ＰＥＮＡＮＡzDzSOvVMGO
兩個步驟找出離散程度103Please respect copyright.ＰＥＮＡＮＡAIMU9accpS
平均、分散、標準差的深～度關係103Please respect copyright.ＰＥＮＡＮＡLA2mgeie2V
平均、離散、標準差的記號103Please respect copyright.ＰＥＮＡＮＡRiE1HTWiQC
試著用Excel計算標準差103Please respect copyright.ＰＥＮＡＮＡd1Zw4Qir1V
也把「偏差值」的計算公式記起來103Please respect copyright.ＰＥＮＡＮＡ7TwGv5k66O
附註內容①深奧的平均世界103Please respect copyright.ＰＥＮＡＮＡXBiTZkF6Lv
附註內容②平均值、中位數、眾數103Please respect copyright.ＰＥＮＡＮＡbUgly1yb3Y
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第三天 超爽快！掌握高中文組數學的「分析」！103Please respect copyright.ＰＥＮＡＮＡMfAK1ptRRc
第一課 豁然開朗！函數的世界103Please respect copyright.ＰＥＮＡＮＡ9VJiYTbgWM
函數與方程式的差別？103Please respect copyright.ＰＥＮＡＮＡtwKJKp8WEG
高中數學的4種函數103Please respect copyright.ＰＥＮＡＮＡDhYGckijgX
Column少年西成的理科腦情書103Please respect copyright.ＰＥＮＡＮＡOxnZaPSWdw
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第二課 來複習二次函數！103Please respect copyright.ＰＥＮＡＮＡdHxIeUPMAq
速速複習！二次方程式103Please respect copyright.ＰＥＮＡＮＡtP7qmSk4O3
畫出二次函數的圖形！103Please respect copyright.ＰＥＮＡＮＡaIq95p14l7
Column 物理學家是名偵探103Please respect copyright.ＰＥＮＡＮＡovZUSKxHnB
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第三課 指數函數超好用！103Please respect copyright.ＰＥＮＡＮＡZlDM1Py2Gp
記住指數函數的相關用語103Please respect copyright.ＰＥＮＡＮＡaUnxmx77mS
基本規則①乘冪相乘時，指數相加103Please respect copyright.ＰＥＮＡＮＡscZRs48F0j
基本規則②乘冪再乘冪時，指數相乘103Please respect copyright.ＰＥＮＡＮＡNPGOXljJKH
基本規則③乘冪相除時，指數相減103Please respect copyright.ＰＥＮＡＮＡS6hVaEc7ip
指數是負數時會怎樣？103Please respect copyright.ＰＥＮＡＮＡXb5AsyC1mx
指數是「0」的時候會怎樣？103Please respect copyright.ＰＥＮＡＮＡM28bya6QG5
根號可以轉換成指數運算103Please respect copyright.ＰＥＮＡＮＡUxXL1n5HYX
統整指數運算的處理方式103Please respect copyright.ＰＥＮＡＮＡ7oepyHJ2Lj
將指數函數做成圖形看看！103Please respect copyright.ＰＥＮＡＮＡ03TvrGHiXN
順便來談談「對數函數」的內容103Please respect copyright.ＰＥＮＡＮＡmIAhf499b2
天文數字也可以處理的對數函數103Please respect copyright.ＰＥＮＡＮＡ7K8yniwmxx
指數函數與音樂的深～度關係103Please respect copyright.ＰＥＮＡＮＡu1MseOtMc0
用iPhone計算指數函數的方法103Please respect copyright.ＰＥＮＡＮＡ7W1PqHwkN5
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第四天 秒懂高中數學的「幾何」精髓！103Please respect copyright.ＰＥＮＡＮＡCdjK1RisY9
第一課 不再霧煞煞的「三角比」103Please respect copyright.ＰＥＮＡＮＡgFviqp3dwq
以餘弦定理搞懂三角形103Please respect copyright.ＰＥＮＡＮＡcy1sc57c6j
畫三角形的「西成流」作法103Please respect copyright.ＰＥＮＡＮＡqxFjbcGpFa
sin、cos、tan是指「邊長比」103Please respect copyright.ＰＥＮＡＮＡIybD3mhN0L
忘掉tan的存在吧！103Please respect copyright.ＰＥＮＡＮＡBkHhy80zv4
直角三角形的定義中必要的θ103Please respect copyright.ＰＥＮＡＮＡeZA0geWNYA
三角比經常出現的陷阱題103Please respect copyright.ＰＥＮＡＮＡxrW7SLJdn9
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第二課 俐落導出餘弦定理公式103Please respect copyright.ＰＥＮＡＮＡ4tu6ksbpSK
用三角比可以做的事103Please respect copyright.ＰＥＮＡＮＡ5Cm1icrCWE
導出餘弦定理①事前準備103Please respect copyright.ＰＥＮＡＮＡBAW4X29qCT
導出餘弦定理②成立公式、解開103Please respect copyright.ＰＥＮＡＮＡ6c5QmHMEb1
導出餘弦定理③證明sin2θ+ cos2θ= 1103Please respect copyright.ＰＥＮＡＮＡ0fN1KBzHfc
導出餘弦定理④完成103Please respect copyright.ＰＥＮＡＮＡC4Lkj988Ym
餘弦定理與畢氏定理的關係103Please respect copyright.ＰＥＮＡＮＡBGpMvkY1Gc
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第三課 學習最後的分析工具「三角函數」！103Please respect copyright.ＰＥＮＡＮＡ0Ioq4kAf4k
三角函數只是將θ與y的關係圖像化103Please respect copyright.ＰＥＮＡＮＡ5CVfDNTXRn
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第五天 特別課程①：幾何的最終武器「向量」！103Please respect copyright.ＰＥＮＡＮＡmVTkP42xG9
第一課 偉大的「向量」103Please respect copyright.ＰＥＮＡＮＡBBrzW3PVto
用代數解幾何問題！？103Please respect copyright.ＰＥＮＡＮＡRU8eSg1O7U
「短短數行」就能證明餘弦定理103Please respect copyright.ＰＥＮＡＮＡwwgtituor4
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第二課 了解「向量」的超嶄新概念103Please respect copyright.ＰＥＮＡＮＡofImy5vqd2
向量是集結兩種資訊的「特殊容器」103Please respect copyright.ＰＥＮＡＮＡfvdHMKn3T7
眾所熟知的「純量」103Please respect copyright.ＰＥＮＡＮＡDl9t5YMZGP
數據時代的主角「張量」103Please respect copyright.ＰＥＮＡＮＡFarSJXrPf3
為什麼我們需要向量？103Please respect copyright.ＰＥＮＡＮＡaYtbv4Ngry
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第三課 「向量」是用箭頭當作記號唷103Please respect copyright.ＰＥＮＡＮＡsHoQNbMagF
向量的書寫規則103Please respect copyright.ＰＥＮＡＮＡaLow7FGyP5
張量的畫法103Please respect copyright.ＰＥＮＡＮＡ4Zl6jTVR7w
試著把向量畫成圖103Please respect copyright.ＰＥＮＡＮＡuwM3N7iFj4
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第四課 「向量」的計算超簡單！103Please respect copyright.ＰＥＮＡＮＡseD4klSlBx
來算算向量的加法吧103Please respect copyright.ＰＥＮＡＮＡzzdTVphFtT
也來算算向量的減法103Please respect copyright.ＰＥＮＡＮＡcO6FQZP3yG
試著分解向量吧103Please respect copyright.ＰＥＮＡＮＡt2017GqocC
試著挑戰向量的乘法103Please respect copyright.ＰＥＮＡＮＡOdTmUudbm1
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第五課 靠「向量」秒殺餘弦定理！103Please respect copyright.ＰＥＮＡＮＡnrBD1sIaOy
用向量瞬間導出餘弦定理！103Please respect copyright.ＰＥＮＡＮＡ3OATgflHyM
不論幾次元都能處理的向量103Please respect copyright.ＰＥＮＡＮＡtW4IdOw8sS
Column少年來了！（前篇）103Please respect copyright.ＰＥＮＡＮＡq68W814RzH
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第6天 特別課程②：用「微積分」預測未來！103Please respect copyright.ＰＥＮＡＮＡx9QQYD65Bz
第一課 人類的寶物！了解微分積分103Please respect copyright.ＰＥＮＡＮＡyktf8PcwjY
微分積分與函數的關係103Please respect copyright.ＰＥＮＡＮＡPNIKkzIQKA
今天的主題是「三角形面積」103Please respect copyright.ＰＥＮＡＮＡa5YjjPsFDl
牛頓VS萊布尼茲的仁義之戰103Please respect copyright.ＰＥＮＡＮＡUR6Xp17L3S
怎麼區分最合適？103Please respect copyright.ＰＥＮＡＮＡM4ogkyWyBh
用微積分計算三角形的面積！103Please respect copyright.ＰＥＮＡＮＡ8U5V1LUF6b
來認識微分積分的符號103Please respect copyright.ＰＥＮＡＮＡpLGo6y9f5q
Column少年來了！（後篇）103Please respect copyright.ＰＥＮＡＮＡhi3d5VLcAg
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第二課 用Excel預測未來！103Please respect copyright.ＰＥＮＡＮＡRW8RzW0YFp
現代人，用Excel就能預測未來103Please respect copyright.ＰＥＮＡＮＡ0ght5MxrbX
掌握Excel的使用方法！103Please respect copyright.ＰＥＮＡＮＡ2LCtgV9i8l
「數學家」、「AI」、「統計學家」的差別103Please respect copyright.ＰＥＮＡＮＡaAQzDhSl6t
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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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