【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173Please respect copyright.ＰＥＮＡＮＡsnVwFdkFNJ
登場人物介紹173Please respect copyright.ＰＥＮＡＮＡgv72YNHv2J
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第一天 數學的樂趣在哪裡？173Please respect copyright.ＰＥＮＡＮＡ9LR4FsI3fo
第一課 其實並不可怕的高中數學173Please respect copyright.ＰＥＮＡＮＡ3UzsLorSBN
好想學真正實用的數學！173Please respect copyright.ＰＥＮＡＮＡ02s1w7VHBC
高中數學比國中數學還簡單！？173Please respect copyright.ＰＥＮＡＮＡiephBEy7Pj
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第二課 超精簡的創新數學課！173Please respect copyright.ＰＥＮＡＮＡjZNcvSQwJt
果斷刪去八成教科書內容！173Please respect copyright.ＰＥＮＡＮＡ5ACjp9WnFE
世界首創！「西成流」數學分類法173Please respect copyright.ＰＥＮＡＮＡUcyTi5hh2d
高中數學中最輕鬆的是「代數」173Please respect copyright.ＰＥＮＡＮＡPSRPbgr5FQ
高中數學的顛峰是「微分積分」173Please respect copyright.ＰＥＮＡＮＡbjOp91HLQg
超好用的工具「餘弦定理」173Please respect copyright.ＰＥＮＡＮＡoZ5GZEpi0d
真正的幾何大魔王是「向量」173Please respect copyright.ＰＥＮＡＮＡInwCVy0sOW
Column文組無法理解數學的理由173Please respect copyright.ＰＥＮＡＮＡvsJZLsMHEZ
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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！！173Please respect copyright.ＰＥＮＡＮＡjucWmaaajB
第一課 速速學會統計學基礎173Please respect copyright.ＰＥＮＡＮＡRkzoA8aLH0
數據處理的3大必備條件173Please respect copyright.ＰＥＮＡＮＡnNA3CPCEhz
為什麼增加個數很好用？173Please respect copyright.ＰＥＮＡＮＡNWI54ZK4Oz
「排列組合」是指什麼？173Please respect copyright.ＰＥＮＡＮＡgDICCFUOme
看離散程度的「標準差」173Please respect copyright.ＰＥＮＡＮＡFQU7xvf4Ud
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第二課 記住「數列相加」的方法173Please respect copyright.ＰＥＮＡＮＡ9mRilUf1hV
天才高斯少年發現的「倒序相加」173Please respect copyright.ＰＥＮＡＮＡN9GVpaEbab
超好用！任何等差數列都能用173Please respect copyright.ＰＥＮＡＮＡzIjudLWgiW
嚴禁直接死背公式！173Please respect copyright.ＰＥＮＡＮＡPAvCD4NQOi
導出等差數列和的公式173Please respect copyright.ＰＥＮＡＮＡ3RXg67ZLlE
豐臣秀吉被擺了一道！數學變黃金的故事173Please respect copyright.ＰＥＮＡＮＡhCJz9I4ZgS
等比數列是「相乘後錯位相減」173Please respect copyright.ＰＥＮＡＮＡAlaU664oJb
導出等比數列和的公式173Please respect copyright.ＰＥＮＡＮＡNrw157YEc8
先知道處理數列和的符號！173Please respect copyright.ＰＥＮＡＮＡHlCbzcH33h
Column把數學記號當作是念魔咒173Please respect copyright.ＰＥＮＡＮＡ85WGbKhcU7
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第三課 記住「排列組合法」173Please respect copyright.ＰＥＮＡＮＡVU8BICgGC3
從賽馬了解「排列」與「組合」173Please respect copyright.ＰＥＮＡＮＡQPZHinqhm2
Step①了解階乘的計算方法173Please respect copyright.ＰＥＮＡＮＡPLpdagjEvL
Step②了解排列的計算方法173Please respect copyright.ＰＥＮＡＮＡZcSSuVVjhZ
Step③了解組合的計算方法173Please respect copyright.ＰＥＮＡＮＡNF5RUCoutt
了解「排列」與「組合」的式子173Please respect copyright.ＰＥＮＡＮＡit2ax1uNAE
「排列」和「組合」的符號是「P」和「C」173Please respect copyright.ＰＥＮＡＮＡCYXscyjsXk
運用「排列」和「組合」排班表173Please respect copyright.ＰＥＮＡＮＡDnmfd690Xb
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第四課 搞懂「離散值」和「標準差」173Please respect copyright.ＰＥＮＡＮＡuRzPoVW6X5
資訊分析的基礎是找到「數據的規則」173Please respect copyright.ＰＥＮＡＮＡZNUkpJOIh5
兩個步驟找出離散程度173Please respect copyright.ＰＥＮＡＮＡFA1C4RIRfx
平均、分散、標準差的深～度關係173Please respect copyright.ＰＥＮＡＮＡHDFIZ4sF1K
平均、離散、標準差的記號173Please respect copyright.ＰＥＮＡＮＡRVPayyP14X
試著用Excel計算標準差173Please respect copyright.ＰＥＮＡＮＡqe81ydpduy
也把「偏差值」的計算公式記起來173Please respect copyright.ＰＥＮＡＮＡNroMe8Omwn
附註內容①深奧的平均世界173Please respect copyright.ＰＥＮＡＮＡNqi1W4o3bl
附註內容②平均值、中位數、眾數173Please respect copyright.ＰＥＮＡＮＡL1RPZQnobA
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第三天 超爽快！掌握高中文組數學的「分析」！173Please respect copyright.ＰＥＮＡＮＡImJIlTVSVW
第一課 豁然開朗！函數的世界173Please respect copyright.ＰＥＮＡＮＡa13Wj1nGuD
函數與方程式的差別？173Please respect copyright.ＰＥＮＡＮＡUiSohcu1Ni
高中數學的4種函數173Please respect copyright.ＰＥＮＡＮＡZu8wXS0Fye
Column少年西成的理科腦情書173Please respect copyright.ＰＥＮＡＮＡnq1W19yv10
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第二課 來複習二次函數！173Please respect copyright.ＰＥＮＡＮＡ9Cmp0z2fLK
速速複習！二次方程式173Please respect copyright.ＰＥＮＡＮＡI2zdvtIgOi
畫出二次函數的圖形！173Please respect copyright.ＰＥＮＡＮＡ8PFl2H2ZOA
Column 物理學家是名偵探173Please respect copyright.ＰＥＮＡＮＡNjBn2vqYlN
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第三課 指數函數超好用！173Please respect copyright.ＰＥＮＡＮＡ17lmTl4dXM
記住指數函數的相關用語173Please respect copyright.ＰＥＮＡＮＡRSZHVXUNfT
基本規則①乘冪相乘時，指數相加173Please respect copyright.ＰＥＮＡＮＡnKAwVm2SRY
基本規則②乘冪再乘冪時，指數相乘173Please respect copyright.ＰＥＮＡＮＡ0fdsbri1Pb
基本規則③乘冪相除時，指數相減173Please respect copyright.ＰＥＮＡＮＡGmM3YKVH2w
指數是負數時會怎樣？173Please respect copyright.ＰＥＮＡＮＡvNJcIjgkKF
指數是「0」的時候會怎樣？173Please respect copyright.ＰＥＮＡＮＡmTpOBZPOpU
根號可以轉換成指數運算173Please respect copyright.ＰＥＮＡＮＡkdnQfOZWsm
統整指數運算的處理方式173Please respect copyright.ＰＥＮＡＮＡU8pQ7FHZj8
將指數函數做成圖形看看！173Please respect copyright.ＰＥＮＡＮＡsW8AVqrtzb
順便來談談「對數函數」的內容173Please respect copyright.ＰＥＮＡＮＡOudxNfWGPo
天文數字也可以處理的對數函數173Please respect copyright.ＰＥＮＡＮＡaWHPJlDzmh
指數函數與音樂的深～度關係173Please respect copyright.ＰＥＮＡＮＡe0zlQqPFky
用iPhone計算指數函數的方法173Please respect copyright.ＰＥＮＡＮＡLNvQN7B8mY
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第四天 秒懂高中數學的「幾何」精髓！173Please respect copyright.ＰＥＮＡＮＡKhGZN6Mzbk
第一課 不再霧煞煞的「三角比」173Please respect copyright.ＰＥＮＡＮＡ6sU1TndeUq
以餘弦定理搞懂三角形173Please respect copyright.ＰＥＮＡＮＡLQX8MET5tA
畫三角形的「西成流」作法173Please respect copyright.ＰＥＮＡＮＡ36asRUlMMC
sin、cos、tan是指「邊長比」173Please respect copyright.ＰＥＮＡＮＡLFtFEhG8Oe
忘掉tan的存在吧！173Please respect copyright.ＰＥＮＡＮＡ0qncY6zGPq
直角三角形的定義中必要的θ173Please respect copyright.ＰＥＮＡＮＡcA3GEGdHh0
三角比經常出現的陷阱題173Please respect copyright.ＰＥＮＡＮＡpj51SpFtiq
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第二課 俐落導出餘弦定理公式173Please respect copyright.ＰＥＮＡＮＡilVndCCtH5
用三角比可以做的事173Please respect copyright.ＰＥＮＡＮＡVTluYcUkVk
導出餘弦定理①事前準備173Please respect copyright.ＰＥＮＡＮＡ1wlBnZhNsq
導出餘弦定理②成立公式、解開173Please respect copyright.ＰＥＮＡＮＡbuUvuAPGIZ
導出餘弦定理③證明sin2θ+ cos2θ= 1173Please respect copyright.ＰＥＮＡＮＡAsKfHxQnxG
導出餘弦定理④完成173Please respect copyright.ＰＥＮＡＮＡlwPh5cRiEu
餘弦定理與畢氏定理的關係173Please respect copyright.ＰＥＮＡＮＡdSK3OzQG4q
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第三課 學習最後的分析工具「三角函數」！173Please respect copyright.ＰＥＮＡＮＡ5TmVvTBL6M
三角函數只是將θ與y的關係圖像化173Please respect copyright.ＰＥＮＡＮＡu1UufK1lND
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第五天 特別課程①：幾何的最終武器「向量」！173Please respect copyright.ＰＥＮＡＮＡUd3ugfAasO
第一課 偉大的「向量」173Please respect copyright.ＰＥＮＡＮＡHHWMySE2sb
用代數解幾何問題！？173Please respect copyright.ＰＥＮＡＮＡCfLPYsHMHc
「短短數行」就能證明餘弦定理173Please respect copyright.ＰＥＮＡＮＡhfRZp7UazA
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第二課 了解「向量」的超嶄新概念173Please respect copyright.ＰＥＮＡＮＡK1uL9GxJA9
向量是集結兩種資訊的「特殊容器」173Please respect copyright.ＰＥＮＡＮＡJRJJ68SYFf
眾所熟知的「純量」173Please respect copyright.ＰＥＮＡＮＡaqEBBJWSwL
數據時代的主角「張量」173Please respect copyright.ＰＥＮＡＮＡ2CHbbgwka8
為什麼我們需要向量？173Please respect copyright.ＰＥＮＡＮＡQW2vHFWDBx
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第三課 「向量」是用箭頭當作記號唷173Please respect copyright.ＰＥＮＡＮＡsgE7R2Wogw
向量的書寫規則173Please respect copyright.ＰＥＮＡＮＡ0qODDSr1ox
張量的畫法173Please respect copyright.ＰＥＮＡＮＡzl84TVZHY6
試著把向量畫成圖173Please respect copyright.ＰＥＮＡＮＡT5tEtuulVk
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第四課 「向量」的計算超簡單！173Please respect copyright.ＰＥＮＡＮＡ0S8YLlBNNy
來算算向量的加法吧173Please respect copyright.ＰＥＮＡＮＡjiIBzw0giI
也來算算向量的減法173Please respect copyright.ＰＥＮＡＮＡ1l1O6KIFCb
試著分解向量吧173Please respect copyright.ＰＥＮＡＮＡRAkvrFfynt
試著挑戰向量的乘法173Please respect copyright.ＰＥＮＡＮＡTsy4bviJhP
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第五課 靠「向量」秒殺餘弦定理！173Please respect copyright.ＰＥＮＡＮＡp06pn5DzdX
用向量瞬間導出餘弦定理！173Please respect copyright.ＰＥＮＡＮＡA3IR2AGulW
不論幾次元都能處理的向量173Please respect copyright.ＰＥＮＡＮＡJ6bob5yMts
Column少年來了！（前篇）173Please respect copyright.ＰＥＮＡＮＡ7WyiQHdWCZ
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第6天 特別課程②：用「微積分」預測未來！173Please respect copyright.ＰＥＮＡＮＡrQ7CIJnHHf
第一課 人類的寶物！了解微分積分173Please respect copyright.ＰＥＮＡＮＡWxJYFhY78p
微分積分與函數的關係173Please respect copyright.ＰＥＮＡＮＡd2fcQOXFWj
今天的主題是「三角形面積」173Please respect copyright.ＰＥＮＡＮＡtTQ0Vtg37J
牛頓VS萊布尼茲的仁義之戰173Please respect copyright.ＰＥＮＡＮＡXspjcLkJQo
怎麼區分最合適？173Please respect copyright.ＰＥＮＡＮＡsLuZ6QDHRg
用微積分計算三角形的面積！173Please respect copyright.ＰＥＮＡＮＡwxG3iXFEFI
來認識微分積分的符號173Please respect copyright.ＰＥＮＡＮＡ0UCVkSwgkK
Column少年來了！（後篇）173Please respect copyright.ＰＥＮＡＮＡns1Hv0iWLc
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第二課 用Excel預測未來！173Please respect copyright.ＰＥＮＡＮＡStDRok5SwL
現代人，用Excel就能預測未來173Please respect copyright.ＰＥＮＡＮＡW6l2dw1BDh
掌握Excel的使用方法！173Please respect copyright.ＰＥＮＡＮＡB99HRxPVo8
「數學家」、「AI」、「統計學家」的差別173Please respect copyright.ＰＥＮＡＮＡMvSh6g8YlQ
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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！！
ns216.73.216.19da2
