【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96Please respect copyright.ＰＥＮＡＮＡQizNeWQBDD
登場人物介紹96Please respect copyright.ＰＥＮＡＮＡGBOGicgrQl
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第一天 數學的樂趣在哪裡？96Please respect copyright.ＰＥＮＡＮＡdLAjHgv3il
第一課 其實並不可怕的高中數學96Please respect copyright.ＰＥＮＡＮＡYRFMkOsNnI
好想學真正實用的數學！96Please respect copyright.ＰＥＮＡＮＡLQS2ebVF6T
高中數學比國中數學還簡單！？96Please respect copyright.ＰＥＮＡＮＡcUj7OrMUq0
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第二課 超精簡的創新數學課！96Please respect copyright.ＰＥＮＡＮＡMwt4yZ2xUB
果斷刪去八成教科書內容！96Please respect copyright.ＰＥＮＡＮＡzBbMDDxRj7
世界首創！「西成流」數學分類法96Please respect copyright.ＰＥＮＡＮＡsQ7QdwT99G
高中數學中最輕鬆的是「代數」96Please respect copyright.ＰＥＮＡＮＡVTH0syhhno
高中數學的顛峰是「微分積分」96Please respect copyright.ＰＥＮＡＮＡmlAJZKA9Df
超好用的工具「餘弦定理」96Please respect copyright.ＰＥＮＡＮＡjmFgWxqk9E
真正的幾何大魔王是「向量」96Please respect copyright.ＰＥＮＡＮＡoJ5Fg7vogr
Column文組無法理解數學的理由96Please respect copyright.ＰＥＮＡＮＡEUlMZksKco
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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！！96Please respect copyright.ＰＥＮＡＮＡkuWkkkcDWM
第一課 速速學會統計學基礎96Please respect copyright.ＰＥＮＡＮＡUwORmp8tIs
數據處理的3大必備條件96Please respect copyright.ＰＥＮＡＮＡZCpFB0tpQ4
為什麼增加個數很好用？96Please respect copyright.ＰＥＮＡＮＡ8P8UT8GUsX
「排列組合」是指什麼？96Please respect copyright.ＰＥＮＡＮＡpExY7kWgcv
看離散程度的「標準差」96Please respect copyright.ＰＥＮＡＮＡSsw9c3SrSq
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第二課 記住「數列相加」的方法96Please respect copyright.ＰＥＮＡＮＡAsTS2JT9JO
天才高斯少年發現的「倒序相加」96Please respect copyright.ＰＥＮＡＮＡ4guLtaqK50
超好用！任何等差數列都能用96Please respect copyright.ＰＥＮＡＮＡGRVHhLcj8o
嚴禁直接死背公式！96Please respect copyright.ＰＥＮＡＮＡAeZjD2jUTf
導出等差數列和的公式96Please respect copyright.ＰＥＮＡＮＡIeeJc6gSoo
豐臣秀吉被擺了一道！數學變黃金的故事96Please respect copyright.ＰＥＮＡＮＡ3Ztj3llfx6
等比數列是「相乘後錯位相減」96Please respect copyright.ＰＥＮＡＮＡpKBjSZww7X
導出等比數列和的公式96Please respect copyright.ＰＥＮＡＮＡjVPjWNhGYn
先知道處理數列和的符號！96Please respect copyright.ＰＥＮＡＮＡf4v8Uz0E0F
Column把數學記號當作是念魔咒96Please respect copyright.ＰＥＮＡＮＡZnR1oz5auJ
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第三課 記住「排列組合法」96Please respect copyright.ＰＥＮＡＮＡKK2Fo9FfXi
從賽馬了解「排列」與「組合」96Please respect copyright.ＰＥＮＡＮＡoRnApWrKuG
Step①了解階乘的計算方法96Please respect copyright.ＰＥＮＡＮＡrpBhh18mJR
Step②了解排列的計算方法96Please respect copyright.ＰＥＮＡＮＡ1MoNGwPAKc
Step③了解組合的計算方法96Please respect copyright.ＰＥＮＡＮＡPMwFPTNSiX
了解「排列」與「組合」的式子96Please respect copyright.ＰＥＮＡＮＡxt80qkCKhp
「排列」和「組合」的符號是「P」和「C」96Please respect copyright.ＰＥＮＡＮＡkhzfuqbsHo
運用「排列」和「組合」排班表96Please respect copyright.ＰＥＮＡＮＡPBpMSVDytv
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第四課 搞懂「離散值」和「標準差」96Please respect copyright.ＰＥＮＡＮＡVZsIa5Wobk
資訊分析的基礎是找到「數據的規則」96Please respect copyright.ＰＥＮＡＮＡJoVp26Dokc
兩個步驟找出離散程度96Please respect copyright.ＰＥＮＡＮＡhlJvnpM3en
平均、分散、標準差的深～度關係96Please respect copyright.ＰＥＮＡＮＡcXguRcRsbZ
平均、離散、標準差的記號96Please respect copyright.ＰＥＮＡＮＡWUEZ4ZoVX6
試著用Excel計算標準差96Please respect copyright.ＰＥＮＡＮＡFX82gGWuTe
也把「偏差值」的計算公式記起來96Please respect copyright.ＰＥＮＡＮＡUR8RmaZyS6
附註內容①深奧的平均世界96Please respect copyright.ＰＥＮＡＮＡMhFSL2vYpM
附註內容②平均值、中位數、眾數96Please respect copyright.ＰＥＮＡＮＡkCNbnQA1SZ
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第三天 超爽快！掌握高中文組數學的「分析」！96Please respect copyright.ＰＥＮＡＮＡ1oKnnm19Lr
第一課 豁然開朗！函數的世界96Please respect copyright.ＰＥＮＡＮＡYwmtmRNi4j
函數與方程式的差別？96Please respect copyright.ＰＥＮＡＮＡ3bUtqgXkSd
高中數學的4種函數96Please respect copyright.ＰＥＮＡＮＡKK1gcfBUNc
Column少年西成的理科腦情書96Please respect copyright.ＰＥＮＡＮＡ2SBStHzQF4
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第二課 來複習二次函數！96Please respect copyright.ＰＥＮＡＮＡJVc6VGGIHQ
速速複習！二次方程式96Please respect copyright.ＰＥＮＡＮＡ2rRzSXBcap
畫出二次函數的圖形！96Please respect copyright.ＰＥＮＡＮＡ5Z4WOJNxSX
Column 物理學家是名偵探96Please respect copyright.ＰＥＮＡＮＡ7UpSHP9Xwd
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第三課 指數函數超好用！96Please respect copyright.ＰＥＮＡＮＡSZIKBVRvWM
記住指數函數的相關用語96Please respect copyright.ＰＥＮＡＮＡ51psv7YlLC
基本規則①乘冪相乘時，指數相加96Please respect copyright.ＰＥＮＡＮＡ9hKYeZDbZ8
基本規則②乘冪再乘冪時，指數相乘96Please respect copyright.ＰＥＮＡＮＡNbcSPbUp3J
基本規則③乘冪相除時，指數相減96Please respect copyright.ＰＥＮＡＮＡ27niBZafni
指數是負數時會怎樣？96Please respect copyright.ＰＥＮＡＮＡbCZbygqoz1
指數是「0」的時候會怎樣？96Please respect copyright.ＰＥＮＡＮＡtKL1REb71U
根號可以轉換成指數運算96Please respect copyright.ＰＥＮＡＮＡ5jXJNYj8MY
統整指數運算的處理方式96Please respect copyright.ＰＥＮＡＮＡwsiEwm1uMP
將指數函數做成圖形看看！96Please respect copyright.ＰＥＮＡＮＡM5PxRnXv5o
順便來談談「對數函數」的內容96Please respect copyright.ＰＥＮＡＮＡfQtUKIIiAW
天文數字也可以處理的對數函數96Please respect copyright.ＰＥＮＡＮＡndYQ87LWnF
指數函數與音樂的深～度關係96Please respect copyright.ＰＥＮＡＮＡnVhmFvkWlZ
用iPhone計算指數函數的方法96Please respect copyright.ＰＥＮＡＮＡo42JVEXUmu
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第四天 秒懂高中數學的「幾何」精髓！96Please respect copyright.ＰＥＮＡＮＡlOdEptlWt1
第一課 不再霧煞煞的「三角比」96Please respect copyright.ＰＥＮＡＮＡPDpTKoQT4g
以餘弦定理搞懂三角形96Please respect copyright.ＰＥＮＡＮＡkUGc1gwFSs
畫三角形的「西成流」作法96Please respect copyright.ＰＥＮＡＮＡmwB6TVVUVq
sin、cos、tan是指「邊長比」96Please respect copyright.ＰＥＮＡＮＡQydAInqZta
忘掉tan的存在吧！96Please respect copyright.ＰＥＮＡＮＡfwnOPgRlz9
直角三角形的定義中必要的θ96Please respect copyright.ＰＥＮＡＮＡFclkh5mZDn
三角比經常出現的陷阱題96Please respect copyright.ＰＥＮＡＮＡTfKifQnhI7
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第二課 俐落導出餘弦定理公式96Please respect copyright.ＰＥＮＡＮＡECKowpQvGC
用三角比可以做的事96Please respect copyright.ＰＥＮＡＮＡ5SShZsIzlX
導出餘弦定理①事前準備96Please respect copyright.ＰＥＮＡＮＡB2aYSNlbDj
導出餘弦定理②成立公式、解開96Please respect copyright.ＰＥＮＡＮＡtXGo28Rva6
導出餘弦定理③證明sin2θ+ cos2θ= 196Please respect copyright.ＰＥＮＡＮＡWFtbzEzOge
導出餘弦定理④完成96Please respect copyright.ＰＥＮＡＮＡqe5NcWbSbX
餘弦定理與畢氏定理的關係96Please respect copyright.ＰＥＮＡＮＡBqaiczaDVf
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第三課 學習最後的分析工具「三角函數」！96Please respect copyright.ＰＥＮＡＮＡBhOPAbeVU3
三角函數只是將θ與y的關係圖像化96Please respect copyright.ＰＥＮＡＮＡck4dvJrUUV
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第五天 特別課程①：幾何的最終武器「向量」！96Please respect copyright.ＰＥＮＡＮＡ6I29DxSCh7
第一課 偉大的「向量」96Please respect copyright.ＰＥＮＡＮＡO4oQPOUbrF
用代數解幾何問題！？96Please respect copyright.ＰＥＮＡＮＡR0NqiCGLpD
「短短數行」就能證明餘弦定理96Please respect copyright.ＰＥＮＡＮＡiAxT6MQfxa
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第二課 了解「向量」的超嶄新概念96Please respect copyright.ＰＥＮＡＮＡSctEyPT6Z4
向量是集結兩種資訊的「特殊容器」96Please respect copyright.ＰＥＮＡＮＡXS5ogbYnVV
眾所熟知的「純量」96Please respect copyright.ＰＥＮＡＮＡM6mso0Cqsb
數據時代的主角「張量」96Please respect copyright.ＰＥＮＡＮＡXobz8hTVoH
為什麼我們需要向量？96Please respect copyright.ＰＥＮＡＮＡJ074PJq3U9
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第三課 「向量」是用箭頭當作記號唷96Please respect copyright.ＰＥＮＡＮＡiuxDd5KJgn
向量的書寫規則96Please respect copyright.ＰＥＮＡＮＡKKvP0budph
張量的畫法96Please respect copyright.ＰＥＮＡＮＡJH7qJckVEb
試著把向量畫成圖96Please respect copyright.ＰＥＮＡＮＡQ8CWqateGt
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第四課 「向量」的計算超簡單！96Please respect copyright.ＰＥＮＡＮＡWWkUJfgLYn
來算算向量的加法吧96Please respect copyright.ＰＥＮＡＮＡtx9T2yFtQo
也來算算向量的減法96Please respect copyright.ＰＥＮＡＮＡclUyWO1ZYu
試著分解向量吧96Please respect copyright.ＰＥＮＡＮＡHf27ruIyND
試著挑戰向量的乘法96Please respect copyright.ＰＥＮＡＮＡUx65muNmzi
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第五課 靠「向量」秒殺餘弦定理！96Please respect copyright.ＰＥＮＡＮＡwjqEv50vCI
用向量瞬間導出餘弦定理！96Please respect copyright.ＰＥＮＡＮＡ4st41vqOSs
不論幾次元都能處理的向量96Please respect copyright.ＰＥＮＡＮＡMGzU7PPiZf
Column少年來了！（前篇）96Please respect copyright.ＰＥＮＡＮＡHUUi46Rjvt
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第6天 特別課程②：用「微積分」預測未來！96Please respect copyright.ＰＥＮＡＮＡs1Aw2WbrKe
第一課 人類的寶物！了解微分積分96Please respect copyright.ＰＥＮＡＮＡ1mXjBBC4of
微分積分與函數的關係96Please respect copyright.ＰＥＮＡＮＡCfezq8hI3b
今天的主題是「三角形面積」96Please respect copyright.ＰＥＮＡＮＡeME0shpL0K
牛頓VS萊布尼茲的仁義之戰96Please respect copyright.ＰＥＮＡＮＡfoIN3lXw7n
怎麼區分最合適？96Please respect copyright.ＰＥＮＡＮＡDPNS0HuG9t
用微積分計算三角形的面積！96Please respect copyright.ＰＥＮＡＮＡACggacyKTf
來認識微分積分的符號96Please respect copyright.ＰＥＮＡＮＡjyCoHeoYRy
Column少年來了！（後篇）96Please respect copyright.ＰＥＮＡＮＡVksEI2gJ4u
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第二課 用Excel預測未來！96Please respect copyright.ＰＥＮＡＮＡB0vAz2yCko
現代人，用Excel就能預測未來96Please respect copyright.ＰＥＮＡＮＡ3oYeFmMRkV
掌握Excel的使用方法！96Please respect copyright.ＰＥＮＡＮＡXzS7HX51Jz
「數學家」、「AI」、「統計學家」的差別96Please respect copyright.ＰＥＮＡＮＡh4FK90hsvO
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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！！
ns3.148.182.254da2
