【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127Please respect copyright.ＰＥＮＡＮＡsLNPKdjc1m
登場人物介紹127Please respect copyright.ＰＥＮＡＮＡ2cUxbvcSuv
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第一天 數學的樂趣在哪裡？127Please respect copyright.ＰＥＮＡＮＡm0QSQsud8d
第一課 其實並不可怕的高中數學127Please respect copyright.ＰＥＮＡＮＡBmizR8tbtU
好想學真正實用的數學！127Please respect copyright.ＰＥＮＡＮＡdgRU1Rkf82
高中數學比國中數學還簡單！？127Please respect copyright.ＰＥＮＡＮＡmdRAcCc8nA
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第二課 超精簡的創新數學課！127Please respect copyright.ＰＥＮＡＮＡJEkEMG9g4S
果斷刪去八成教科書內容！127Please respect copyright.ＰＥＮＡＮＡvoxJFXdyUc
世界首創！「西成流」數學分類法127Please respect copyright.ＰＥＮＡＮＡpIJuHpb6O3
高中數學中最輕鬆的是「代數」127Please respect copyright.ＰＥＮＡＮＡ76DQdaYRCZ
高中數學的顛峰是「微分積分」127Please respect copyright.ＰＥＮＡＮＡCJCdZ16T6O
超好用的工具「餘弦定理」127Please respect copyright.ＰＥＮＡＮＡ0Z75Jl7bEW
真正的幾何大魔王是「向量」127Please respect copyright.ＰＥＮＡＮＡJkbR78q0bD
Column文組無法理解數學的理由127Please respect copyright.ＰＥＮＡＮＡITZrY3amxm
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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！！127Please respect copyright.ＰＥＮＡＮＡFXYK8q087H
第一課 速速學會統計學基礎127Please respect copyright.ＰＥＮＡＮＡp6vmqF7Swm
數據處理的3大必備條件127Please respect copyright.ＰＥＮＡＮＡqCldKaNi0R
為什麼增加個數很好用？127Please respect copyright.ＰＥＮＡＮＡDcL5Gof4Ug
「排列組合」是指什麼？127Please respect copyright.ＰＥＮＡＮＡgsGLNYRbUQ
看離散程度的「標準差」127Please respect copyright.ＰＥＮＡＮＡO7rdwQnTC8
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第二課 記住「數列相加」的方法127Please respect copyright.ＰＥＮＡＮＡ4aMWYPVeb7
天才高斯少年發現的「倒序相加」127Please respect copyright.ＰＥＮＡＮＡslvQuJzaDv
超好用！任何等差數列都能用127Please respect copyright.ＰＥＮＡＮＡ8SSXT1MRCU
嚴禁直接死背公式！127Please respect copyright.ＰＥＮＡＮＡd27JSfTcko
導出等差數列和的公式127Please respect copyright.ＰＥＮＡＮＡ2I9CJHlfml
豐臣秀吉被擺了一道！數學變黃金的故事127Please respect copyright.ＰＥＮＡＮＡtnAAx1a4y4
等比數列是「相乘後錯位相減」127Please respect copyright.ＰＥＮＡＮＡFNCMFoCJVM
導出等比數列和的公式127Please respect copyright.ＰＥＮＡＮＡlg5SzZzlcy
先知道處理數列和的符號！127Please respect copyright.ＰＥＮＡＮＡxjCHF8tARH
Column把數學記號當作是念魔咒127Please respect copyright.ＰＥＮＡＮＡgkxy6iSnc5
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第三課 記住「排列組合法」127Please respect copyright.ＰＥＮＡＮＡYzZoNEHMx0
從賽馬了解「排列」與「組合」127Please respect copyright.ＰＥＮＡＮＡkAspT7Sg5i
Step①了解階乘的計算方法127Please respect copyright.ＰＥＮＡＮＡXWaQoo4z7r
Step②了解排列的計算方法127Please respect copyright.ＰＥＮＡＮＡLnbnXK28RT
Step③了解組合的計算方法127Please respect copyright.ＰＥＮＡＮＡfSeOXwUEbF
了解「排列」與「組合」的式子127Please respect copyright.ＰＥＮＡＮＡPplvYj01ck
「排列」和「組合」的符號是「P」和「C」127Please respect copyright.ＰＥＮＡＮＡx3jq1U8wiD
運用「排列」和「組合」排班表127Please respect copyright.ＰＥＮＡＮＡOai1MI5mwH
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第四課 搞懂「離散值」和「標準差」127Please respect copyright.ＰＥＮＡＮＡ6d16NtQNjf
資訊分析的基礎是找到「數據的規則」127Please respect copyright.ＰＥＮＡＮＡw1OuoEMnmD
兩個步驟找出離散程度127Please respect copyright.ＰＥＮＡＮＡpJ58wWcPIa
平均、分散、標準差的深～度關係127Please respect copyright.ＰＥＮＡＮＡfjAa2ekAk6
平均、離散、標準差的記號127Please respect copyright.ＰＥＮＡＮＡA0DsIAp5Ce
試著用Excel計算標準差127Please respect copyright.ＰＥＮＡＮＡHIrKLi1sV4
也把「偏差值」的計算公式記起來127Please respect copyright.ＰＥＮＡＮＡsQ1EdN4ECw
附註內容①深奧的平均世界127Please respect copyright.ＰＥＮＡＮＡdWpD4HyusT
附註內容②平均值、中位數、眾數127Please respect copyright.ＰＥＮＡＮＡz820LTu5iW
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第三天 超爽快！掌握高中文組數學的「分析」！127Please respect copyright.ＰＥＮＡＮＡIfKnamHocU
第一課 豁然開朗！函數的世界127Please respect copyright.ＰＥＮＡＮＡsifT0IS1lU
函數與方程式的差別？127Please respect copyright.ＰＥＮＡＮＡYBP0Mb6T3B
高中數學的4種函數127Please respect copyright.ＰＥＮＡＮＡQNfx7JuEpf
Column少年西成的理科腦情書127Please respect copyright.ＰＥＮＡＮＡDjo6csJc90
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第二課 來複習二次函數！127Please respect copyright.ＰＥＮＡＮＡUUBSZCOqXy
速速複習！二次方程式127Please respect copyright.ＰＥＮＡＮＡXfaZkmmnSa
畫出二次函數的圖形！127Please respect copyright.ＰＥＮＡＮＡ4fdFW992mx
Column 物理學家是名偵探127Please respect copyright.ＰＥＮＡＮＡVb3BsEcShB
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第三課 指數函數超好用！127Please respect copyright.ＰＥＮＡＮＡuvMP9JMbUJ
記住指數函數的相關用語127Please respect copyright.ＰＥＮＡＮＡdcFG6lhELa
基本規則①乘冪相乘時，指數相加127Please respect copyright.ＰＥＮＡＮＡ3d9MafQMyg
基本規則②乘冪再乘冪時，指數相乘127Please respect copyright.ＰＥＮＡＮＡavT3fmEkK0
基本規則③乘冪相除時，指數相減127Please respect copyright.ＰＥＮＡＮＡRBfHx46Eco
指數是負數時會怎樣？127Please respect copyright.ＰＥＮＡＮＡsGUqUglSmj
指數是「0」的時候會怎樣？127Please respect copyright.ＰＥＮＡＮＡZ5bbaYbC3b
根號可以轉換成指數運算127Please respect copyright.ＰＥＮＡＮＡiKLaUJWX4n
統整指數運算的處理方式127Please respect copyright.ＰＥＮＡＮＡ2EwdJhqcGu
將指數函數做成圖形看看！127Please respect copyright.ＰＥＮＡＮＡHTEb3ZWjyW
順便來談談「對數函數」的內容127Please respect copyright.ＰＥＮＡＮＡu5lTJNgFxW
天文數字也可以處理的對數函數127Please respect copyright.ＰＥＮＡＮＡ9jqZeR5mo5
指數函數與音樂的深～度關係127Please respect copyright.ＰＥＮＡＮＡ1qzE1lSJuo
用iPhone計算指數函數的方法127Please respect copyright.ＰＥＮＡＮＡvioPu1VSbI
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第四天 秒懂高中數學的「幾何」精髓！127Please respect copyright.ＰＥＮＡＮＡWcwZrsMQNv
第一課 不再霧煞煞的「三角比」127Please respect copyright.ＰＥＮＡＮＡpIfBSzCOL7
以餘弦定理搞懂三角形127Please respect copyright.ＰＥＮＡＮＡTyR2JP0CCq
畫三角形的「西成流」作法127Please respect copyright.ＰＥＮＡＮＡvnNlqtWo0d
sin、cos、tan是指「邊長比」127Please respect copyright.ＰＥＮＡＮＡMfLD3gZn6G
忘掉tan的存在吧！127Please respect copyright.ＰＥＮＡＮＡ3zMLzK3W84
直角三角形的定義中必要的θ127Please respect copyright.ＰＥＮＡＮＡ5uyt84IqGm
三角比經常出現的陷阱題127Please respect copyright.ＰＥＮＡＮＡTAa4kOAN7A
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第二課 俐落導出餘弦定理公式127Please respect copyright.ＰＥＮＡＮＡghr3d7dp2k
用三角比可以做的事127Please respect copyright.ＰＥＮＡＮＡVzQaYL3LJQ
導出餘弦定理①事前準備127Please respect copyright.ＰＥＮＡＮＡZF6c8rXaUV
導出餘弦定理②成立公式、解開127Please respect copyright.ＰＥＮＡＮＡULkTCTXRPS
導出餘弦定理③證明sin2θ+ cos2θ= 1127Please respect copyright.ＰＥＮＡＮＡy8Q5FFTbdQ
導出餘弦定理④完成127Please respect copyright.ＰＥＮＡＮＡwGqmKGWHM1
餘弦定理與畢氏定理的關係127Please respect copyright.ＰＥＮＡＮＡglHazW3ria
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第三課 學習最後的分析工具「三角函數」！127Please respect copyright.ＰＥＮＡＮＡlmQSH8IkBi
三角函數只是將θ與y的關係圖像化127Please respect copyright.ＰＥＮＡＮＡnKl2CK9UGK
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第五天 特別課程①：幾何的最終武器「向量」！127Please respect copyright.ＰＥＮＡＮＡo1DESsLstc
第一課 偉大的「向量」127Please respect copyright.ＰＥＮＡＮＡIG8GxKgI7q
用代數解幾何問題！？127Please respect copyright.ＰＥＮＡＮＡ3reCR49hA4
「短短數行」就能證明餘弦定理127Please respect copyright.ＰＥＮＡＮＡXMyxScuase
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第二課 了解「向量」的超嶄新概念127Please respect copyright.ＰＥＮＡＮＡ4S3k9fLA1I
向量是集結兩種資訊的「特殊容器」127Please respect copyright.ＰＥＮＡＮＡa2sQOrVROa
眾所熟知的「純量」127Please respect copyright.ＰＥＮＡＮＡFK8VMooRmZ
數據時代的主角「張量」127Please respect copyright.ＰＥＮＡＮＡo849tlH5jA
為什麼我們需要向量？127Please respect copyright.ＰＥＮＡＮＡpIiMS6o2Ct
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第三課 「向量」是用箭頭當作記號唷127Please respect copyright.ＰＥＮＡＮＡBaQiynzTLJ
向量的書寫規則127Please respect copyright.ＰＥＮＡＮＡipsddXBBsA
張量的畫法127Please respect copyright.ＰＥＮＡＮＡSBIUUnoHAA
試著把向量畫成圖127Please respect copyright.ＰＥＮＡＮＡnbokrXdrpk
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第四課 「向量」的計算超簡單！127Please respect copyright.ＰＥＮＡＮＡqiOrnixLYm
來算算向量的加法吧127Please respect copyright.ＰＥＮＡＮＡ8ARlv2ht2N
也來算算向量的減法127Please respect copyright.ＰＥＮＡＮＡTyOM9PxNcW
試著分解向量吧127Please respect copyright.ＰＥＮＡＮＡ2Ul0dkjzCf
試著挑戰向量的乘法127Please respect copyright.ＰＥＮＡＮＡEHVvAqDvFZ
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第五課 靠「向量」秒殺餘弦定理！127Please respect copyright.ＰＥＮＡＮＡCdgeM8Hei8
用向量瞬間導出餘弦定理！127Please respect copyright.ＰＥＮＡＮＡR9Zok5Orr4
不論幾次元都能處理的向量127Please respect copyright.ＰＥＮＡＮＡFVDU2kYCnf
Column少年來了！（前篇）127Please respect copyright.ＰＥＮＡＮＡRNK876vCS1
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第6天 特別課程②：用「微積分」預測未來！127Please respect copyright.ＰＥＮＡＮＡLc1QqDA2s7
第一課 人類的寶物！了解微分積分127Please respect copyright.ＰＥＮＡＮＡ0uefHmOkzV
微分積分與函數的關係127Please respect copyright.ＰＥＮＡＮＡLRzYaBs97c
今天的主題是「三角形面積」127Please respect copyright.ＰＥＮＡＮＡk4UscAaV1p
牛頓VS萊布尼茲的仁義之戰127Please respect copyright.ＰＥＮＡＮＡId7Yf5Bj6F
怎麼區分最合適？127Please respect copyright.ＰＥＮＡＮＡj0MPYYW0wi
用微積分計算三角形的面積！127Please respect copyright.ＰＥＮＡＮＡN8kKi97TSJ
來認識微分積分的符號127Please respect copyright.ＰＥＮＡＮＡLAQiO9K4B4
Column少年來了！（後篇）127Please respect copyright.ＰＥＮＡＮＡXkLJ1IqeIp
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第二課 用Excel預測未來！127Please respect copyright.ＰＥＮＡＮＡ7gd4g418K8
現代人，用Excel就能預測未來127Please respect copyright.ＰＥＮＡＮＡ9HkG0O9TA3
掌握Excel的使用方法！127Please respect copyright.ＰＥＮＡＮＡFs7vhF5zlU
「數學家」、「AI」、「統計學家」的差別127Please respect copyright.ＰＥＮＡＮＡVd8iaL4Bkh
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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！！
ns3.141.18.167da2
