【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129Please respect copyright.ＰＥＮＡＮＡ8qJy41mMng
登場人物介紹129Please respect copyright.ＰＥＮＡＮＡ78DE0vb1mQ
129Please respect copyright.ＰＥＮＡＮＡjTIPDiC3Fr
第一天 數學的樂趣在哪裡？129Please respect copyright.ＰＥＮＡＮＡYYMRocmE6e
第一課 其實並不可怕的高中數學129Please respect copyright.ＰＥＮＡＮＡ0ebMUHUBKh
好想學真正實用的數學！129Please respect copyright.ＰＥＮＡＮＡrYbCdGkJRl
高中數學比國中數學還簡單！？129Please respect copyright.ＰＥＮＡＮＡlr8yZdQnmI
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第二課 超精簡的創新數學課！129Please respect copyright.ＰＥＮＡＮＡVDBbJWltB5
果斷刪去八成教科書內容！129Please respect copyright.ＰＥＮＡＮＡn49lbMwpNv
世界首創！「西成流」數學分類法129Please respect copyright.ＰＥＮＡＮＡUbfPpQeWDQ
高中數學中最輕鬆的是「代數」129Please respect copyright.ＰＥＮＡＮＡGfA9moMBCV
高中數學的顛峰是「微分積分」129Please respect copyright.ＰＥＮＡＮＡmOJtlmPAS3
超好用的工具「餘弦定理」129Please respect copyright.ＰＥＮＡＮＡSegDnWzrB7
真正的幾何大魔王是「向量」129Please respect copyright.ＰＥＮＡＮＡ4KcdPgYchS
Column文組無法理解數學的理由129Please respect copyright.ＰＥＮＡＮＡldcC4qOBYy
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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！！129Please respect copyright.ＰＥＮＡＮＡc6FlT0qpu7
第一課 速速學會統計學基礎129Please respect copyright.ＰＥＮＡＮＡ1UOh7QrFxp
數據處理的3大必備條件129Please respect copyright.ＰＥＮＡＮＡCBKCOfUrSL
為什麼增加個數很好用？129Please respect copyright.ＰＥＮＡＮＡcEO06LRmTI
「排列組合」是指什麼？129Please respect copyright.ＰＥＮＡＮＡb3pGAboLoN
看離散程度的「標準差」129Please respect copyright.ＰＥＮＡＮＡLOoDucTxAJ
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第二課 記住「數列相加」的方法129Please respect copyright.ＰＥＮＡＮＡ9fFidVgPJi
天才高斯少年發現的「倒序相加」129Please respect copyright.ＰＥＮＡＮＡIAcAwYvqbY
超好用！任何等差數列都能用129Please respect copyright.ＰＥＮＡＮＡGPyjK9HTI6
嚴禁直接死背公式！129Please respect copyright.ＰＥＮＡＮＡXxl9sEmWM1
導出等差數列和的公式129Please respect copyright.ＰＥＮＡＮＡsDypq0voN0
豐臣秀吉被擺了一道！數學變黃金的故事129Please respect copyright.ＰＥＮＡＮＡ8SfmwgUfu1
等比數列是「相乘後錯位相減」129Please respect copyright.ＰＥＮＡＮＡaaFnmNstks
導出等比數列和的公式129Please respect copyright.ＰＥＮＡＮＡQLM7OAiadk
先知道處理數列和的符號！129Please respect copyright.ＰＥＮＡＮＡhj0sUPxvDC
Column把數學記號當作是念魔咒129Please respect copyright.ＰＥＮＡＮＡa6LfJvPDlr
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第三課 記住「排列組合法」129Please respect copyright.ＰＥＮＡＮＡNJzRlwyj06
從賽馬了解「排列」與「組合」129Please respect copyright.ＰＥＮＡＮＡM3CbiQve0i
Step①了解階乘的計算方法129Please respect copyright.ＰＥＮＡＮＡa1oWq3Y4WQ
Step②了解排列的計算方法129Please respect copyright.ＰＥＮＡＮＡ8630kSycbI
Step③了解組合的計算方法129Please respect copyright.ＰＥＮＡＮＡiocFzaLHNM
了解「排列」與「組合」的式子129Please respect copyright.ＰＥＮＡＮＡP4qwxzqufw
「排列」和「組合」的符號是「P」和「C」129Please respect copyright.ＰＥＮＡＮＡ5F0HbFMdcO
運用「排列」和「組合」排班表129Please respect copyright.ＰＥＮＡＮＡFlFnbnQPTV
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第四課 搞懂「離散值」和「標準差」129Please respect copyright.ＰＥＮＡＮＡiyQMiglWaO
資訊分析的基礎是找到「數據的規則」129Please respect copyright.ＰＥＮＡＮＡvdrsNTDkjz
兩個步驟找出離散程度129Please respect copyright.ＰＥＮＡＮＡ4BxYlCsHGD
平均、分散、標準差的深～度關係129Please respect copyright.ＰＥＮＡＮＡOLryj84H3A
平均、離散、標準差的記號129Please respect copyright.ＰＥＮＡＮＡnuCG7JKQF0
試著用Excel計算標準差129Please respect copyright.ＰＥＮＡＮＡ8S7WIlZsZI
也把「偏差值」的計算公式記起來129Please respect copyright.ＰＥＮＡＮＡSYMSbfBDRP
附註內容①深奧的平均世界129Please respect copyright.ＰＥＮＡＮＡtU2ayfnPAY
附註內容②平均值、中位數、眾數129Please respect copyright.ＰＥＮＡＮＡ0hj0OfgLWj
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第三天 超爽快！掌握高中文組數學的「分析」！129Please respect copyright.ＰＥＮＡＮＡTGplh2tyEw
第一課 豁然開朗！函數的世界129Please respect copyright.ＰＥＮＡＮＡmuqiShilVY
函數與方程式的差別？129Please respect copyright.ＰＥＮＡＮＡYQEYbPhdpU
高中數學的4種函數129Please respect copyright.ＰＥＮＡＮＡgC69aRUDNr
Column少年西成的理科腦情書129Please respect copyright.ＰＥＮＡＮＡ9aaAWqY4Hm
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第二課 來複習二次函數！129Please respect copyright.ＰＥＮＡＮＡ9seGogFTYC
速速複習！二次方程式129Please respect copyright.ＰＥＮＡＮＡAt1eCDT9v0
畫出二次函數的圖形！129Please respect copyright.ＰＥＮＡＮＡD05RCMKMdF
Column 物理學家是名偵探129Please respect copyright.ＰＥＮＡＮＡxzngfjF6Sg
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第三課 指數函數超好用！129Please respect copyright.ＰＥＮＡＮＡTosQd1fDMG
記住指數函數的相關用語129Please respect copyright.ＰＥＮＡＮＡYA8HMKXMsq
基本規則①乘冪相乘時，指數相加129Please respect copyright.ＰＥＮＡＮＡc1Q67jgBpC
基本規則②乘冪再乘冪時，指數相乘129Please respect copyright.ＰＥＮＡＮＡiPsW7c27vO
基本規則③乘冪相除時，指數相減129Please respect copyright.ＰＥＮＡＮＡY6zvHVqXiT
指數是負數時會怎樣？129Please respect copyright.ＰＥＮＡＮＡiEgqYBHpQP
指數是「0」的時候會怎樣？129Please respect copyright.ＰＥＮＡＮＡY1UA6Es0fi
根號可以轉換成指數運算129Please respect copyright.ＰＥＮＡＮＡSSFLYadFYD
統整指數運算的處理方式129Please respect copyright.ＰＥＮＡＮＡx0YSvHtI3L
將指數函數做成圖形看看！129Please respect copyright.ＰＥＮＡＮＡ8HM6LYZCEs
順便來談談「對數函數」的內容129Please respect copyright.ＰＥＮＡＮＡ1rqDu9A80R
天文數字也可以處理的對數函數129Please respect copyright.ＰＥＮＡＮＡnIlFN9QIoN
指數函數與音樂的深～度關係129Please respect copyright.ＰＥＮＡＮＡ0fUlSOX6YE
用iPhone計算指數函數的方法129Please respect copyright.ＰＥＮＡＮＡyxUYPW2GWP
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第四天 秒懂高中數學的「幾何」精髓！129Please respect copyright.ＰＥＮＡＮＡ11t6xzUf2r
第一課 不再霧煞煞的「三角比」129Please respect copyright.ＰＥＮＡＮＡ9WFtYPeD5K
以餘弦定理搞懂三角形129Please respect copyright.ＰＥＮＡＮＡETYjFKW9Be
畫三角形的「西成流」作法129Please respect copyright.ＰＥＮＡＮＡ0iB60REbTW
sin、cos、tan是指「邊長比」129Please respect copyright.ＰＥＮＡＮＡ6H5CZWHKZS
忘掉tan的存在吧！129Please respect copyright.ＰＥＮＡＮＡWNxmctODFd
直角三角形的定義中必要的θ129Please respect copyright.ＰＥＮＡＮＡnKW8vqNy9D
三角比經常出現的陷阱題129Please respect copyright.ＰＥＮＡＮＡRbSGypIcWN
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第二課 俐落導出餘弦定理公式129Please respect copyright.ＰＥＮＡＮＡT5IyecMD9D
用三角比可以做的事129Please respect copyright.ＰＥＮＡＮＡqPMKxxIsrf
導出餘弦定理①事前準備129Please respect copyright.ＰＥＮＡＮＡr9uvnSglcr
導出餘弦定理②成立公式、解開129Please respect copyright.ＰＥＮＡＮＡRf7pEWeB89
導出餘弦定理③證明sin2θ+ cos2θ= 1129Please respect copyright.ＰＥＮＡＮＡpJVvILCwXm
導出餘弦定理④完成129Please respect copyright.ＰＥＮＡＮＡre8dGJK5gX
餘弦定理與畢氏定理的關係129Please respect copyright.ＰＥＮＡＮＡdeztJ6Zj2Q
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第三課 學習最後的分析工具「三角函數」！129Please respect copyright.ＰＥＮＡＮＡBvVrJdhTzH
三角函數只是將θ與y的關係圖像化129Please respect copyright.ＰＥＮＡＮＡSGMcDOqlUu
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第五天 特別課程①：幾何的最終武器「向量」！129Please respect copyright.ＰＥＮＡＮＡ9iYz9KvBR7
第一課 偉大的「向量」129Please respect copyright.ＰＥＮＡＮＡ2jv6jFv6nL
用代數解幾何問題！？129Please respect copyright.ＰＥＮＡＮＡAnjDwdKJus
「短短數行」就能證明餘弦定理129Please respect copyright.ＰＥＮＡＮＡwSR19XKASd
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第二課 了解「向量」的超嶄新概念129Please respect copyright.ＰＥＮＡＮＡN40r74M9Nv
向量是集結兩種資訊的「特殊容器」129Please respect copyright.ＰＥＮＡＮＡJz8qsblOMS
眾所熟知的「純量」129Please respect copyright.ＰＥＮＡＮＡr9FnedBnAa
數據時代的主角「張量」129Please respect copyright.ＰＥＮＡＮＡbv52oGpyIs
為什麼我們需要向量？129Please respect copyright.ＰＥＮＡＮＡcbi5zIoEz8
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第三課 「向量」是用箭頭當作記號唷129Please respect copyright.ＰＥＮＡＮＡV6qDigRugg
向量的書寫規則129Please respect copyright.ＰＥＮＡＮＡvIT7qnaWt3
張量的畫法129Please respect copyright.ＰＥＮＡＮＡReXyjWEKr9
試著把向量畫成圖129Please respect copyright.ＰＥＮＡＮＡDyhTGz85FF
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第四課 「向量」的計算超簡單！129Please respect copyright.ＰＥＮＡＮＡtc16HY8dSd
來算算向量的加法吧129Please respect copyright.ＰＥＮＡＮＡqCYkYcX1GN
也來算算向量的減法129Please respect copyright.ＰＥＮＡＮＡfpmNx6MQab
試著分解向量吧129Please respect copyright.ＰＥＮＡＮＡLnZiEyP2Ah
試著挑戰向量的乘法129Please respect copyright.ＰＥＮＡＮＡZJhERWNW1I
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第五課 靠「向量」秒殺餘弦定理！129Please respect copyright.ＰＥＮＡＮＡ01LHDhsFIo
用向量瞬間導出餘弦定理！129Please respect copyright.ＰＥＮＡＮＡfr96lh5PEB
不論幾次元都能處理的向量129Please respect copyright.ＰＥＮＡＮＡ9CPwO9c59P
Column少年來了！（前篇）129Please respect copyright.ＰＥＮＡＮＡbQ2Si6m1aK
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第6天 特別課程②：用「微積分」預測未來！129Please respect copyright.ＰＥＮＡＮＡ4c1nj4Z6hN
第一課 人類的寶物！了解微分積分129Please respect copyright.ＰＥＮＡＮＡf1M4YtFGFy
微分積分與函數的關係129Please respect copyright.ＰＥＮＡＮＡBbor6PqdrJ
今天的主題是「三角形面積」129Please respect copyright.ＰＥＮＡＮＡaTB55uRHWy
牛頓VS萊布尼茲的仁義之戰129Please respect copyright.ＰＥＮＡＮＡWtTD0sqsNN
怎麼區分最合適？129Please respect copyright.ＰＥＮＡＮＡsCHezNcwou
用微積分計算三角形的面積！129Please respect copyright.ＰＥＮＡＮＡcpSiHL0pMo
來認識微分積分的符號129Please respect copyright.ＰＥＮＡＮＡsi17zoKsQI
Column少年來了！（後篇）129Please respect copyright.ＰＥＮＡＮＡlf8iQsRcsT
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第二課 用Excel預測未來！129Please respect copyright.ＰＥＮＡＮＡnafILQFqsh
現代人，用Excel就能預測未來129Please respect copyright.ＰＥＮＡＮＡkZQPQdXnrH
掌握Excel的使用方法！129Please respect copyright.ＰＥＮＡＮＡEP09TcR5mW
「數學家」、「AI」、「統計學家」的差別129Please respect copyright.ＰＥＮＡＮＡ7xF5Q2kDe2
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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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