【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116Please respect copyright.ＰＥＮＡＮＡ2Au2kTOq66
登場人物介紹116Please respect copyright.ＰＥＮＡＮＡ64pNEUUCp0
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第一天 數學的樂趣在哪裡？116Please respect copyright.ＰＥＮＡＮＡ7WaMPUbrao
第一課 其實並不可怕的高中數學116Please respect copyright.ＰＥＮＡＮＡ3ehpqWwkO3
好想學真正實用的數學！116Please respect copyright.ＰＥＮＡＮＡkhewfJzpaG
高中數學比國中數學還簡單！？116Please respect copyright.ＰＥＮＡＮＡbmqfxNkTJZ
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第二課 超精簡的創新數學課！116Please respect copyright.ＰＥＮＡＮＡDNzInYWWbY
果斷刪去八成教科書內容！116Please respect copyright.ＰＥＮＡＮＡc62Eoz6AgW
世界首創！「西成流」數學分類法116Please respect copyright.ＰＥＮＡＮＡpQ9WZfUCY0
高中數學中最輕鬆的是「代數」116Please respect copyright.ＰＥＮＡＮＡRtYCqgNwBY
高中數學的顛峰是「微分積分」116Please respect copyright.ＰＥＮＡＮＡ8skDGLhTSp
超好用的工具「餘弦定理」116Please respect copyright.ＰＥＮＡＮＡ2IqmRCmAon
真正的幾何大魔王是「向量」116Please respect copyright.ＰＥＮＡＮＡOz2nJxGbaa
Column文組無法理解數學的理由116Please respect copyright.ＰＥＮＡＮＡOQavcylTOB
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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！！116Please respect copyright.ＰＥＮＡＮＡpGX7wq4I9o
第一課 速速學會統計學基礎116Please respect copyright.ＰＥＮＡＮＡxrpZD1XwET
數據處理的3大必備條件116Please respect copyright.ＰＥＮＡＮＡ1p2XhpBAy6
為什麼增加個數很好用？116Please respect copyright.ＰＥＮＡＮＡQDNU6TnpEJ
「排列組合」是指什麼？116Please respect copyright.ＰＥＮＡＮＡ7roePLUfo4
看離散程度的「標準差」116Please respect copyright.ＰＥＮＡＮＡpYznSUvQHQ
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第二課 記住「數列相加」的方法116Please respect copyright.ＰＥＮＡＮＡJh7gJXQJFO
天才高斯少年發現的「倒序相加」116Please respect copyright.ＰＥＮＡＮＡeQEgqHwDau
超好用！任何等差數列都能用116Please respect copyright.ＰＥＮＡＮＡWMItefJNRi
嚴禁直接死背公式！116Please respect copyright.ＰＥＮＡＮＡ2dscOgayWP
導出等差數列和的公式116Please respect copyright.ＰＥＮＡＮＡ4CbFrv0tgR
豐臣秀吉被擺了一道！數學變黃金的故事116Please respect copyright.ＰＥＮＡＮＡdMH3STQL3U
等比數列是「相乘後錯位相減」116Please respect copyright.ＰＥＮＡＮＡ8umoMKWTXJ
導出等比數列和的公式116Please respect copyright.ＰＥＮＡＮＡ2MOd7aGUqD
先知道處理數列和的符號！116Please respect copyright.ＰＥＮＡＮＡfkjqS9EIgK
Column把數學記號當作是念魔咒116Please respect copyright.ＰＥＮＡＮＡuoapphX36e
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第三課 記住「排列組合法」116Please respect copyright.ＰＥＮＡＮＡEy5rIXIJQR
從賽馬了解「排列」與「組合」116Please respect copyright.ＰＥＮＡＮＡa6drngZVqO
Step①了解階乘的計算方法116Please respect copyright.ＰＥＮＡＮＡnenag55VQG
Step②了解排列的計算方法116Please respect copyright.ＰＥＮＡＮＡnqryi6F3Oa
Step③了解組合的計算方法116Please respect copyright.ＰＥＮＡＮＡwBAXNHt5gZ
了解「排列」與「組合」的式子116Please respect copyright.ＰＥＮＡＮＡZ9bYAlMTL9
「排列」和「組合」的符號是「P」和「C」116Please respect copyright.ＰＥＮＡＮＡNTReiEvcbR
運用「排列」和「組合」排班表116Please respect copyright.ＰＥＮＡＮＡqfVrYw7pRu
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第四課 搞懂「離散值」和「標準差」116Please respect copyright.ＰＥＮＡＮＡI5ObAjUlNL
資訊分析的基礎是找到「數據的規則」116Please respect copyright.ＰＥＮＡＮＡHYI5SDQyyt
兩個步驟找出離散程度116Please respect copyright.ＰＥＮＡＮＡlYgg3E3M61
平均、分散、標準差的深～度關係116Please respect copyright.ＰＥＮＡＮＡCa59CY60Zv
平均、離散、標準差的記號116Please respect copyright.ＰＥＮＡＮＡgl8EZ9tMdb
試著用Excel計算標準差116Please respect copyright.ＰＥＮＡＮＡW56fo90OP3
也把「偏差值」的計算公式記起來116Please respect copyright.ＰＥＮＡＮＡGTrcIBWdO5
附註內容①深奧的平均世界116Please respect copyright.ＰＥＮＡＮＡoiU4jET7hP
附註內容②平均值、中位數、眾數116Please respect copyright.ＰＥＮＡＮＡQXWN2RKxkK
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第三天 超爽快！掌握高中文組數學的「分析」！116Please respect copyright.ＰＥＮＡＮＡbV3wk2pg5L
第一課 豁然開朗！函數的世界116Please respect copyright.ＰＥＮＡＮＡ2nkcNY1cM5
函數與方程式的差別？116Please respect copyright.ＰＥＮＡＮＡJ0kT2aQna9
高中數學的4種函數116Please respect copyright.ＰＥＮＡＮＡljkirhFVY2
Column少年西成的理科腦情書116Please respect copyright.ＰＥＮＡＮＡnDOmXppify
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第二課 來複習二次函數！116Please respect copyright.ＰＥＮＡＮＡTQIqKXWgfA
速速複習！二次方程式116Please respect copyright.ＰＥＮＡＮＡaKHZ48mcVj
畫出二次函數的圖形！116Please respect copyright.ＰＥＮＡＮＡtfwgxRwF0h
Column 物理學家是名偵探116Please respect copyright.ＰＥＮＡＮＡjJvmU8vEaK
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第三課 指數函數超好用！116Please respect copyright.ＰＥＮＡＮＡYsrq5dF3rT
記住指數函數的相關用語116Please respect copyright.ＰＥＮＡＮＡ61yVE2bt9J
基本規則①乘冪相乘時，指數相加116Please respect copyright.ＰＥＮＡＮＡ9OBHzzJsqv
基本規則②乘冪再乘冪時，指數相乘116Please respect copyright.ＰＥＮＡＮＡonk1RFyT1e
基本規則③乘冪相除時，指數相減116Please respect copyright.ＰＥＮＡＮＡ2XiQYb8M2M
指數是負數時會怎樣？116Please respect copyright.ＰＥＮＡＮＡgyZfucPXVw
指數是「0」的時候會怎樣？116Please respect copyright.ＰＥＮＡＮＡugYG4Inhis
根號可以轉換成指數運算116Please respect copyright.ＰＥＮＡＮＡ9LLuj1MbdQ
統整指數運算的處理方式116Please respect copyright.ＰＥＮＡＮＡPRBTt7jawz
將指數函數做成圖形看看！116Please respect copyright.ＰＥＮＡＮＡM4eeE8rFjJ
順便來談談「對數函數」的內容116Please respect copyright.ＰＥＮＡＮＡupnKKnhEiA
天文數字也可以處理的對數函數116Please respect copyright.ＰＥＮＡＮＡbszNWP4G7i
指數函數與音樂的深～度關係116Please respect copyright.ＰＥＮＡＮＡG40BVCx4rP
用iPhone計算指數函數的方法116Please respect copyright.ＰＥＮＡＮＡwVao63CmO7
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第四天 秒懂高中數學的「幾何」精髓！116Please respect copyright.ＰＥＮＡＮＡyForwRuzVI
第一課 不再霧煞煞的「三角比」116Please respect copyright.ＰＥＮＡＮＡM9dcK9jV5L
以餘弦定理搞懂三角形116Please respect copyright.ＰＥＮＡＮＡXWtSShiAPd
畫三角形的「西成流」作法116Please respect copyright.ＰＥＮＡＮＡkUnuyb0Unk
sin、cos、tan是指「邊長比」116Please respect copyright.ＰＥＮＡＮＡho7mfWvSaq
忘掉tan的存在吧！116Please respect copyright.ＰＥＮＡＮＡ1g2T9iqwKR
直角三角形的定義中必要的θ116Please respect copyright.ＰＥＮＡＮＡ2prsCFDUEm
三角比經常出現的陷阱題116Please respect copyright.ＰＥＮＡＮＡ9tR8KpSEhC
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第二課 俐落導出餘弦定理公式116Please respect copyright.ＰＥＮＡＮＡsL4Jicj1Oe
用三角比可以做的事116Please respect copyright.ＰＥＮＡＮＡLTo67QoRVl
導出餘弦定理①事前準備116Please respect copyright.ＰＥＮＡＮＡZVzUu6VNM1
導出餘弦定理②成立公式、解開116Please respect copyright.ＰＥＮＡＮＡ5uphL5WI3c
導出餘弦定理③證明sin2θ+ cos2θ= 1116Please respect copyright.ＰＥＮＡＮＡzY9EkPvetU
導出餘弦定理④完成116Please respect copyright.ＰＥＮＡＮＡ2VFgymJYIe
餘弦定理與畢氏定理的關係116Please respect copyright.ＰＥＮＡＮＡHDe2Uz0Q0H
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第三課 學習最後的分析工具「三角函數」！116Please respect copyright.ＰＥＮＡＮＡObnuZS7FCz
三角函數只是將θ與y的關係圖像化116Please respect copyright.ＰＥＮＡＮＡdYdND2R8KK
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第五天 特別課程①：幾何的最終武器「向量」！116Please respect copyright.ＰＥＮＡＮＡy0cHo6unoS
第一課 偉大的「向量」116Please respect copyright.ＰＥＮＡＮＡiRfH20Ccc3
用代數解幾何問題！？116Please respect copyright.ＰＥＮＡＮＡcqW9YESZly
「短短數行」就能證明餘弦定理116Please respect copyright.ＰＥＮＡＮＡnCFupwTBex
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第二課 了解「向量」的超嶄新概念116Please respect copyright.ＰＥＮＡＮＡU3e7EmLVC3
向量是集結兩種資訊的「特殊容器」116Please respect copyright.ＰＥＮＡＮＡucszDvxcN9
眾所熟知的「純量」116Please respect copyright.ＰＥＮＡＮＡtkJ62aH9wv
數據時代的主角「張量」116Please respect copyright.ＰＥＮＡＮＡ63dG7FbbNa
為什麼我們需要向量？116Please respect copyright.ＰＥＮＡＮＡktKxkXC5dC
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第三課 「向量」是用箭頭當作記號唷116Please respect copyright.ＰＥＮＡＮＡdeCmBe5o0W
向量的書寫規則116Please respect copyright.ＰＥＮＡＮＡISrRb40DQh
張量的畫法116Please respect copyright.ＰＥＮＡＮＡvP3skkOtVL
試著把向量畫成圖116Please respect copyright.ＰＥＮＡＮＡyKA4nNCwjR
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第四課 「向量」的計算超簡單！116Please respect copyright.ＰＥＮＡＮＡssp2Gv5AKI
來算算向量的加法吧116Please respect copyright.ＰＥＮＡＮＡZGrsR73HPi
也來算算向量的減法116Please respect copyright.ＰＥＮＡＮＡDw5NSdUvSR
試著分解向量吧116Please respect copyright.ＰＥＮＡＮＡm305ywqBVa
試著挑戰向量的乘法116Please respect copyright.ＰＥＮＡＮＡjLIVXogqoD
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第五課 靠「向量」秒殺餘弦定理！116Please respect copyright.ＰＥＮＡＮＡqdd0dEy7ac
用向量瞬間導出餘弦定理！116Please respect copyright.ＰＥＮＡＮＡOBcaxWu9Hx
不論幾次元都能處理的向量116Please respect copyright.ＰＥＮＡＮＡUDazNqS7WW
Column少年來了！（前篇）116Please respect copyright.ＰＥＮＡＮＡRVAoqhX6Bo
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第6天 特別課程②：用「微積分」預測未來！116Please respect copyright.ＰＥＮＡＮＡoCsVzk4r8z
第一課 人類的寶物！了解微分積分116Please respect copyright.ＰＥＮＡＮＡuWdmRluYRl
微分積分與函數的關係116Please respect copyright.ＰＥＮＡＮＡ95bmu65wTj
今天的主題是「三角形面積」116Please respect copyright.ＰＥＮＡＮＡNXxpmv9DxV
牛頓VS萊布尼茲的仁義之戰116Please respect copyright.ＰＥＮＡＮＡGpGwSe3qRX
怎麼區分最合適？116Please respect copyright.ＰＥＮＡＮＡHhyt2EONMy
用微積分計算三角形的面積！116Please respect copyright.ＰＥＮＡＮＡX1vJQU3VSp
來認識微分積分的符號116Please respect copyright.ＰＥＮＡＮＡlHoCSxq6Ms
Column少年來了！（後篇）116Please respect copyright.ＰＥＮＡＮＡuixpt3le7J
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第二課 用Excel預測未來！116Please respect copyright.ＰＥＮＡＮＡR1TOEvQtvV
現代人，用Excel就能預測未來116Please respect copyright.ＰＥＮＡＮＡtMO5dauvMQ
掌握Excel的使用方法！116Please respect copyright.ＰＥＮＡＮＡhpEDddIJfi
「數學家」、「AI」、「統計學家」的差別116Please respect copyright.ＰＥＮＡＮＡC6tAtBW2wC
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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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