【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130Please respect copyright.ＰＥＮＡＮＡ2zB6iBBtAx
登場人物介紹130Please respect copyright.ＰＥＮＡＮＡ5EEu5f5AxA
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第一天 數學的樂趣在哪裡？130Please respect copyright.ＰＥＮＡＮＡCeoBVITU4o
第一課 其實並不可怕的高中數學130Please respect copyright.ＰＥＮＡＮＡEtFcdyv4WM
好想學真正實用的數學！130Please respect copyright.ＰＥＮＡＮＡUOEXl0BTyJ
高中數學比國中數學還簡單！？130Please respect copyright.ＰＥＮＡＮＡ7CzEzfhgUn
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第二課 超精簡的創新數學課！130Please respect copyright.ＰＥＮＡＮＡRIVpCB0IeB
果斷刪去八成教科書內容！130Please respect copyright.ＰＥＮＡＮＡtxQE3tV4aJ
世界首創！「西成流」數學分類法130Please respect copyright.ＰＥＮＡＮＡpUl7Fmw1be
高中數學中最輕鬆的是「代數」130Please respect copyright.ＰＥＮＡＮＡ10R0gINNMP
高中數學的顛峰是「微分積分」130Please respect copyright.ＰＥＮＡＮＡt9DtfrvARO
超好用的工具「餘弦定理」130Please respect copyright.ＰＥＮＡＮＡAKp4E7SNvf
真正的幾何大魔王是「向量」130Please respect copyright.ＰＥＮＡＮＡkjWRgupAUK
Column文組無法理解數學的理由130Please respect copyright.ＰＥＮＡＮＡyK4wEg8tSz
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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！！130Please respect copyright.ＰＥＮＡＮＡs8UoWvZ7vR
第一課 速速學會統計學基礎130Please respect copyright.ＰＥＮＡＮＡl3rwVchiqy
數據處理的3大必備條件130Please respect copyright.ＰＥＮＡＮＡfma2NSFekJ
為什麼增加個數很好用？130Please respect copyright.ＰＥＮＡＮＡzbhlv13bQi
「排列組合」是指什麼？130Please respect copyright.ＰＥＮＡＮＡZH41MfaEag
看離散程度的「標準差」130Please respect copyright.ＰＥＮＡＮＡkwf6nvDjgZ
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第二課 記住「數列相加」的方法130Please respect copyright.ＰＥＮＡＮＡSPZZz161W4
天才高斯少年發現的「倒序相加」130Please respect copyright.ＰＥＮＡＮＡDFF9pbIaSV
超好用！任何等差數列都能用130Please respect copyright.ＰＥＮＡＮＡpju4F07vYI
嚴禁直接死背公式！130Please respect copyright.ＰＥＮＡＮＡTB87oC9nN7
導出等差數列和的公式130Please respect copyright.ＰＥＮＡＮＡEF1rYOMXfp
豐臣秀吉被擺了一道！數學變黃金的故事130Please respect copyright.ＰＥＮＡＮＡpsKmTDj7yh
等比數列是「相乘後錯位相減」130Please respect copyright.ＰＥＮＡＮＡEi83KaphQL
導出等比數列和的公式130Please respect copyright.ＰＥＮＡＮＡ8OjY0Iwq2T
先知道處理數列和的符號！130Please respect copyright.ＰＥＮＡＮＡGOqrta9wl1
Column把數學記號當作是念魔咒130Please respect copyright.ＰＥＮＡＮＡkCJh0DDC0f
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第三課 記住「排列組合法」130Please respect copyright.ＰＥＮＡＮＡ4gJy10RKrr
從賽馬了解「排列」與「組合」130Please respect copyright.ＰＥＮＡＮＡfivFu50kBv
Step①了解階乘的計算方法130Please respect copyright.ＰＥＮＡＮＡ3542HsDvMy
Step②了解排列的計算方法130Please respect copyright.ＰＥＮＡＮＡdyCUvxzJwq
Step③了解組合的計算方法130Please respect copyright.ＰＥＮＡＮＡ0mBXAULFg7
了解「排列」與「組合」的式子130Please respect copyright.ＰＥＮＡＮＡNqOVHeRJXg
「排列」和「組合」的符號是「P」和「C」130Please respect copyright.ＰＥＮＡＮＡ65jhwKIY9N
運用「排列」和「組合」排班表130Please respect copyright.ＰＥＮＡＮＡFMondHoiKE
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第四課 搞懂「離散值」和「標準差」130Please respect copyright.ＰＥＮＡＮＡtlV5IiTij2
資訊分析的基礎是找到「數據的規則」130Please respect copyright.ＰＥＮＡＮＡPnbJHoQIfw
兩個步驟找出離散程度130Please respect copyright.ＰＥＮＡＮＡOUH7RcOk2Y
平均、分散、標準差的深～度關係130Please respect copyright.ＰＥＮＡＮＡ8XWFioOW0e
平均、離散、標準差的記號130Please respect copyright.ＰＥＮＡＮＡSTmffAeD6O
試著用Excel計算標準差130Please respect copyright.ＰＥＮＡＮＡBoLPttmv0o
也把「偏差值」的計算公式記起來130Please respect copyright.ＰＥＮＡＮＡrXHlaQUG3M
附註內容①深奧的平均世界130Please respect copyright.ＰＥＮＡＮＡ3ydp1okATp
附註內容②平均值、中位數、眾數130Please respect copyright.ＰＥＮＡＮＡGgtk6kMI1N
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第三天 超爽快！掌握高中文組數學的「分析」！130Please respect copyright.ＰＥＮＡＮＡbAdjlPL22t
第一課 豁然開朗！函數的世界130Please respect copyright.ＰＥＮＡＮＡpynJ45KkYq
函數與方程式的差別？130Please respect copyright.ＰＥＮＡＮＡQVrXcLULc8
高中數學的4種函數130Please respect copyright.ＰＥＮＡＮＡ1G8DgswY2I
Column少年西成的理科腦情書130Please respect copyright.ＰＥＮＡＮＡvVXBY8cNKV
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第二課 來複習二次函數！130Please respect copyright.ＰＥＮＡＮＡ17FGl2eJzD
速速複習！二次方程式130Please respect copyright.ＰＥＮＡＮＡlJ9mrVflpy
畫出二次函數的圖形！130Please respect copyright.ＰＥＮＡＮＡe68GsUETvk
Column 物理學家是名偵探130Please respect copyright.ＰＥＮＡＮＡGAD0n2oTyz
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第三課 指數函數超好用！130Please respect copyright.ＰＥＮＡＮＡ8LKet4gdI1
記住指數函數的相關用語130Please respect copyright.ＰＥＮＡＮＡ2oWIfE9s0b
基本規則①乘冪相乘時，指數相加130Please respect copyright.ＰＥＮＡＮＡeLCOvlNXZr
基本規則②乘冪再乘冪時，指數相乘130Please respect copyright.ＰＥＮＡＮＡ6dOJKSy0wc
基本規則③乘冪相除時，指數相減130Please respect copyright.ＰＥＮＡＮＡWakNVOp7RH
指數是負數時會怎樣？130Please respect copyright.ＰＥＮＡＮＡms5PLl0Qbr
指數是「0」的時候會怎樣？130Please respect copyright.ＰＥＮＡＮＡj3VtHNjB2T
根號可以轉換成指數運算130Please respect copyright.ＰＥＮＡＮＡY11gjaKKIU
統整指數運算的處理方式130Please respect copyright.ＰＥＮＡＮＡgkbk7hibe1
將指數函數做成圖形看看！130Please respect copyright.ＰＥＮＡＮＡtuLq9Yt9b2
順便來談談「對數函數」的內容130Please respect copyright.ＰＥＮＡＮＡ0hZNpZU44Y
天文數字也可以處理的對數函數130Please respect copyright.ＰＥＮＡＮＡoBhuy6eI04
指數函數與音樂的深～度關係130Please respect copyright.ＰＥＮＡＮＡitPEwXolaS
用iPhone計算指數函數的方法130Please respect copyright.ＰＥＮＡＮＡpsKsei057i
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第四天 秒懂高中數學的「幾何」精髓！130Please respect copyright.ＰＥＮＡＮＡZdAHBmJeYZ
第一課 不再霧煞煞的「三角比」130Please respect copyright.ＰＥＮＡＮＡxiu26iGdNd
以餘弦定理搞懂三角形130Please respect copyright.ＰＥＮＡＮＡyWVknuTvjg
畫三角形的「西成流」作法130Please respect copyright.ＰＥＮＡＮＡiLt8SFkUZ1
sin、cos、tan是指「邊長比」130Please respect copyright.ＰＥＮＡＮＡ2ROIEeRCEW
忘掉tan的存在吧！130Please respect copyright.ＰＥＮＡＮＡ4rnQ1jWKwF
直角三角形的定義中必要的θ130Please respect copyright.ＰＥＮＡＮＡKtUbV8Zovk
三角比經常出現的陷阱題130Please respect copyright.ＰＥＮＡＮＡAMnfVpEf66
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第二課 俐落導出餘弦定理公式130Please respect copyright.ＰＥＮＡＮＡX9qdoKobVb
用三角比可以做的事130Please respect copyright.ＰＥＮＡＮＡ58DDu5yPkX
導出餘弦定理①事前準備130Please respect copyright.ＰＥＮＡＮＡhcc1uoaZnG
導出餘弦定理②成立公式、解開130Please respect copyright.ＰＥＮＡＮＡm2oXIsdxBR
導出餘弦定理③證明sin2θ+ cos2θ= 1130Please respect copyright.ＰＥＮＡＮＡ1bPPIPcQWd
導出餘弦定理④完成130Please respect copyright.ＰＥＮＡＮＡK8WGsfYlHC
餘弦定理與畢氏定理的關係130Please respect copyright.ＰＥＮＡＮＡXlTHFslbjb
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第三課 學習最後的分析工具「三角函數」！130Please respect copyright.ＰＥＮＡＮＡKwsmoAnD0i
三角函數只是將θ與y的關係圖像化130Please respect copyright.ＰＥＮＡＮＡsZFOYRue1p
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第五天 特別課程①：幾何的最終武器「向量」！130Please respect copyright.ＰＥＮＡＮＡuAarY0Hmr4
第一課 偉大的「向量」130Please respect copyright.ＰＥＮＡＮＡXb9Xm3q6EP
用代數解幾何問題！？130Please respect copyright.ＰＥＮＡＮＡk8JtKeZLvK
「短短數行」就能證明餘弦定理130Please respect copyright.ＰＥＮＡＮＡYCWRgYPXZ3
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第二課 了解「向量」的超嶄新概念130Please respect copyright.ＰＥＮＡＮＡkgty7Gjr5t
向量是集結兩種資訊的「特殊容器」130Please respect copyright.ＰＥＮＡＮＡuYY8SrW6it
眾所熟知的「純量」130Please respect copyright.ＰＥＮＡＮＡT3wBPQco2B
數據時代的主角「張量」130Please respect copyright.ＰＥＮＡＮＡ1ym6nEYhY8
為什麼我們需要向量？130Please respect copyright.ＰＥＮＡＮＡHgq3dP8XbB
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第三課 「向量」是用箭頭當作記號唷130Please respect copyright.ＰＥＮＡＮＡHMGSwh9iH7
向量的書寫規則130Please respect copyright.ＰＥＮＡＮＡvsGNqxZJ33
張量的畫法130Please respect copyright.ＰＥＮＡＮＡz6nAZelkyh
試著把向量畫成圖130Please respect copyright.ＰＥＮＡＮＡIaIKPH7GdC
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第四課 「向量」的計算超簡單！130Please respect copyright.ＰＥＮＡＮＡdXMyd7sFLr
來算算向量的加法吧130Please respect copyright.ＰＥＮＡＮＡtb3GOK09jG
也來算算向量的減法130Please respect copyright.ＰＥＮＡＮＡSI3CUMvN27
試著分解向量吧130Please respect copyright.ＰＥＮＡＮＡ7PiyZUhRfw
試著挑戰向量的乘法130Please respect copyright.ＰＥＮＡＮＡt4EZF68Xt7
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第五課 靠「向量」秒殺餘弦定理！130Please respect copyright.ＰＥＮＡＮＡH06MVO1gkV
用向量瞬間導出餘弦定理！130Please respect copyright.ＰＥＮＡＮＡZ9QYH7GDM6
不論幾次元都能處理的向量130Please respect copyright.ＰＥＮＡＮＡV0NJB2Fq48
Column少年來了！（前篇）130Please respect copyright.ＰＥＮＡＮＡEjkCOT9O9P
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第6天 特別課程②：用「微積分」預測未來！130Please respect copyright.ＰＥＮＡＮＡYPRUZ7vGvy
第一課 人類的寶物！了解微分積分130Please respect copyright.ＰＥＮＡＮＡYTIzXXvZgp
微分積分與函數的關係130Please respect copyright.ＰＥＮＡＮＡaNttUVusmG
今天的主題是「三角形面積」130Please respect copyright.ＰＥＮＡＮＡNCS7t0LEV9
牛頓VS萊布尼茲的仁義之戰130Please respect copyright.ＰＥＮＡＮＡKPsB62CUkB
怎麼區分最合適？130Please respect copyright.ＰＥＮＡＮＡA1wHi66Ppk
用微積分計算三角形的面積！130Please respect copyright.ＰＥＮＡＮＡ1v9b4ZwIBu
來認識微分積分的符號130Please respect copyright.ＰＥＮＡＮＡn6MVEy3nlz
Column少年來了！（後篇）130Please respect copyright.ＰＥＮＡＮＡjqk3GvJKmt
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第二課 用Excel預測未來！130Please respect copyright.ＰＥＮＡＮＡbifgEvUXQU
現代人，用Excel就能預測未來130Please respect copyright.ＰＥＮＡＮＡBmwDMYA9rl
掌握Excel的使用方法！130Please respect copyright.ＰＥＮＡＮＡ6UJ1WplA41
「數學家」、「AI」、「統計學家」的差別130Please respect copyright.ＰＥＮＡＮＡTjJ11JEJzJ
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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！！
ns3.142.124.139da2
