【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94Please respect copyright.ＰＥＮＡＮＡ9sa1cGOL0e
登場人物介紹94Please respect copyright.ＰＥＮＡＮＡpoC4Y3Wdul
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第一天 數學的樂趣在哪裡？94Please respect copyright.ＰＥＮＡＮＡy8Z6DHYjle
第一課 其實並不可怕的高中數學94Please respect copyright.ＰＥＮＡＮＡCjdmq9Nkhp
好想學真正實用的數學！94Please respect copyright.ＰＥＮＡＮＡp5e8K85HTQ
高中數學比國中數學還簡單！？94Please respect copyright.ＰＥＮＡＮＡtrnNnsF7iG
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第二課 超精簡的創新數學課！94Please respect copyright.ＰＥＮＡＮＡUbfrleMHdI
果斷刪去八成教科書內容！94Please respect copyright.ＰＥＮＡＮＡc7biBj8vLE
世界首創！「西成流」數學分類法94Please respect copyright.ＰＥＮＡＮＡnz7KdQnHsh
高中數學中最輕鬆的是「代數」94Please respect copyright.ＰＥＮＡＮＡhm2PkulbTU
高中數學的顛峰是「微分積分」94Please respect copyright.ＰＥＮＡＮＡv4u06nbgNQ
超好用的工具「餘弦定理」94Please respect copyright.ＰＥＮＡＮＡ6phztUkeSW
真正的幾何大魔王是「向量」94Please respect copyright.ＰＥＮＡＮＡm8Lw0r7FxJ
Column文組無法理解數學的理由94Please respect copyright.ＰＥＮＡＮＡu8ArorYxA1
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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！！94Please respect copyright.ＰＥＮＡＮＡY4A2tGOrj6
第一課 速速學會統計學基礎94Please respect copyright.ＰＥＮＡＮＡW0xipXnIo7
數據處理的3大必備條件94Please respect copyright.ＰＥＮＡＮＡzML4LBZASm
為什麼增加個數很好用？94Please respect copyright.ＰＥＮＡＮＡZ5qMSZNRgf
「排列組合」是指什麼？94Please respect copyright.ＰＥＮＡＮＡ58jCDWpnRy
看離散程度的「標準差」94Please respect copyright.ＰＥＮＡＮＡwMq0SaHlv4
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第二課 記住「數列相加」的方法94Please respect copyright.ＰＥＮＡＮＡ69aQJrp2Ey
天才高斯少年發現的「倒序相加」94Please respect copyright.ＰＥＮＡＮＡ65P01eTgEd
超好用！任何等差數列都能用94Please respect copyright.ＰＥＮＡＮＡt5WLoGaJIq
嚴禁直接死背公式！94Please respect copyright.ＰＥＮＡＮＡrdoUOX5WoJ
導出等差數列和的公式94Please respect copyright.ＰＥＮＡＮＡjfPKdpB2FF
豐臣秀吉被擺了一道！數學變黃金的故事94Please respect copyright.ＰＥＮＡＮＡ5thGsb9WBz
等比數列是「相乘後錯位相減」94Please respect copyright.ＰＥＮＡＮＡsCU3HA4B6m
導出等比數列和的公式94Please respect copyright.ＰＥＮＡＮＡsh6CSLWmPK
先知道處理數列和的符號！94Please respect copyright.ＰＥＮＡＮＡwXkQqhv0oS
Column把數學記號當作是念魔咒94Please respect copyright.ＰＥＮＡＮＡ3upqgcoCuT
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第三課 記住「排列組合法」94Please respect copyright.ＰＥＮＡＮＡHWcpEHBX8l
從賽馬了解「排列」與「組合」94Please respect copyright.ＰＥＮＡＮＡQYphBtM2cL
Step①了解階乘的計算方法94Please respect copyright.ＰＥＮＡＮＡFGFN4k9poN
Step②了解排列的計算方法94Please respect copyright.ＰＥＮＡＮＡFZ2cKKEzL8
Step③了解組合的計算方法94Please respect copyright.ＰＥＮＡＮＡe3uBqRygQw
了解「排列」與「組合」的式子94Please respect copyright.ＰＥＮＡＮＡ6un5Ue1wh5
「排列」和「組合」的符號是「P」和「C」94Please respect copyright.ＰＥＮＡＮＡso6wenEfXk
運用「排列」和「組合」排班表94Please respect copyright.ＰＥＮＡＮＡB0zB8lcRzb
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第四課 搞懂「離散值」和「標準差」94Please respect copyright.ＰＥＮＡＮＡJ0WmBqrrOW
資訊分析的基礎是找到「數據的規則」94Please respect copyright.ＰＥＮＡＮＡ0ekCuMhfNi
兩個步驟找出離散程度94Please respect copyright.ＰＥＮＡＮＡt11kdUElt2
平均、分散、標準差的深～度關係94Please respect copyright.ＰＥＮＡＮＡLZaiOrQlmA
平均、離散、標準差的記號94Please respect copyright.ＰＥＮＡＮＡftQaAo5Xaw
試著用Excel計算標準差94Please respect copyright.ＰＥＮＡＮＡiM7BuTOSIt
也把「偏差值」的計算公式記起來94Please respect copyright.ＰＥＮＡＮＡcM5gxUstBj
附註內容①深奧的平均世界94Please respect copyright.ＰＥＮＡＮＡbsjeWgPQto
附註內容②平均值、中位數、眾數94Please respect copyright.ＰＥＮＡＮＡt7mCx9AP44
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第三天 超爽快！掌握高中文組數學的「分析」！94Please respect copyright.ＰＥＮＡＮＡOF1c93sseV
第一課 豁然開朗！函數的世界94Please respect copyright.ＰＥＮＡＮＡwQwOvAvcmJ
函數與方程式的差別？94Please respect copyright.ＰＥＮＡＮＡy5ztixw1VG
高中數學的4種函數94Please respect copyright.ＰＥＮＡＮＡH4zx2aK6XQ
Column少年西成的理科腦情書94Please respect copyright.ＰＥＮＡＮＡeVuKmmLmzz
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第二課 來複習二次函數！94Please respect copyright.ＰＥＮＡＮＡvz1YutL1bV
速速複習！二次方程式94Please respect copyright.ＰＥＮＡＮＡPaSpYG0hfs
畫出二次函數的圖形！94Please respect copyright.ＰＥＮＡＮＡwKNh8Pu04X
Column 物理學家是名偵探94Please respect copyright.ＰＥＮＡＮＡM8w7oFIvvR
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第三課 指數函數超好用！94Please respect copyright.ＰＥＮＡＮＡjNUvAE1kFX
記住指數函數的相關用語94Please respect copyright.ＰＥＮＡＮＡwl7PCbKnTi
基本規則①乘冪相乘時，指數相加94Please respect copyright.ＰＥＮＡＮＡLXVDFQWUT8
基本規則②乘冪再乘冪時，指數相乘94Please respect copyright.ＰＥＮＡＮＡlgqci7PAro
基本規則③乘冪相除時，指數相減94Please respect copyright.ＰＥＮＡＮＡwl6zCQ1fT6
指數是負數時會怎樣？94Please respect copyright.ＰＥＮＡＮＡT708e8vTlJ
指數是「0」的時候會怎樣？94Please respect copyright.ＰＥＮＡＮＡ54D3urzMha
根號可以轉換成指數運算94Please respect copyright.ＰＥＮＡＮＡTTk2AIeEjy
統整指數運算的處理方式94Please respect copyright.ＰＥＮＡＮＡeUDIBsy7AZ
將指數函數做成圖形看看！94Please respect copyright.ＰＥＮＡＮＡKNFw83Mymt
順便來談談「對數函數」的內容94Please respect copyright.ＰＥＮＡＮＡhpMAEAhKlR
天文數字也可以處理的對數函數94Please respect copyright.ＰＥＮＡＮＡ9V3TER5oFv
指數函數與音樂的深～度關係94Please respect copyright.ＰＥＮＡＮＡCSAvBt1mpz
用iPhone計算指數函數的方法94Please respect copyright.ＰＥＮＡＮＡ0UQyzoW7C4
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第四天 秒懂高中數學的「幾何」精髓！94Please respect copyright.ＰＥＮＡＮＡRg8LQMDyeU
第一課 不再霧煞煞的「三角比」94Please respect copyright.ＰＥＮＡＮＡYezhuDMv35
以餘弦定理搞懂三角形94Please respect copyright.ＰＥＮＡＮＡexW7LaZN0L
畫三角形的「西成流」作法94Please respect copyright.ＰＥＮＡＮＡOVMFep7oGl
sin、cos、tan是指「邊長比」94Please respect copyright.ＰＥＮＡＮＡiu7PvKfVK1
忘掉tan的存在吧！94Please respect copyright.ＰＥＮＡＮＡQOuQ3x5AK0
直角三角形的定義中必要的θ94Please respect copyright.ＰＥＮＡＮＡbCkgTkIat6
三角比經常出現的陷阱題94Please respect copyright.ＰＥＮＡＮＡxU6S1JSzRw
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第二課 俐落導出餘弦定理公式94Please respect copyright.ＰＥＮＡＮＡA9rsDfpS3r
用三角比可以做的事94Please respect copyright.ＰＥＮＡＮＡqmf3hb1KEX
導出餘弦定理①事前準備94Please respect copyright.ＰＥＮＡＮＡ0KbFhA8sX9
導出餘弦定理②成立公式、解開94Please respect copyright.ＰＥＮＡＮＡdDKQlRE3xH
導出餘弦定理③證明sin2θ+ cos2θ= 194Please respect copyright.ＰＥＮＡＮＡMfBdJWQ93o
導出餘弦定理④完成94Please respect copyright.ＰＥＮＡＮＡ3s6eDzBJuM
餘弦定理與畢氏定理的關係94Please respect copyright.ＰＥＮＡＮＡtbC8DlqFQk
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第三課 學習最後的分析工具「三角函數」！94Please respect copyright.ＰＥＮＡＮＡEI06td6uf2
三角函數只是將θ與y的關係圖像化94Please respect copyright.ＰＥＮＡＮＡdmk9MoJt5R
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第五天 特別課程①：幾何的最終武器「向量」！94Please respect copyright.ＰＥＮＡＮＡAAe7J2kodT
第一課 偉大的「向量」94Please respect copyright.ＰＥＮＡＮＡM0Mvcy25fo
用代數解幾何問題！？94Please respect copyright.ＰＥＮＡＮＡkVIHY1sqEY
「短短數行」就能證明餘弦定理94Please respect copyright.ＰＥＮＡＮＡtq7MDuNZSC
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第二課 了解「向量」的超嶄新概念94Please respect copyright.ＰＥＮＡＮＡ4sKEjBKlop
向量是集結兩種資訊的「特殊容器」94Please respect copyright.ＰＥＮＡＮＡhlBb5lUBMN
眾所熟知的「純量」94Please respect copyright.ＰＥＮＡＮＡ8QRLMXAb5y
數據時代的主角「張量」94Please respect copyright.ＰＥＮＡＮＡ8WvkE7qDyK
為什麼我們需要向量？94Please respect copyright.ＰＥＮＡＮＡkqEAjDRGUD
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第三課 「向量」是用箭頭當作記號唷94Please respect copyright.ＰＥＮＡＮＡJbH61mi4Sj
向量的書寫規則94Please respect copyright.ＰＥＮＡＮＡsO59bWjms6
張量的畫法94Please respect copyright.ＰＥＮＡＮＡyeHdntS6lv
試著把向量畫成圖94Please respect copyright.ＰＥＮＡＮＡFHmK05RjDN
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第四課 「向量」的計算超簡單！94Please respect copyright.ＰＥＮＡＮＡLhr1JQjtDo
來算算向量的加法吧94Please respect copyright.ＰＥＮＡＮＡej54X6IeJK
也來算算向量的減法94Please respect copyright.ＰＥＮＡＮＡLnUgc4nPiP
試著分解向量吧94Please respect copyright.ＰＥＮＡＮＡSUi8LHHRjN
試著挑戰向量的乘法94Please respect copyright.ＰＥＮＡＮＡgyYXoD5wGM
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第五課 靠「向量」秒殺餘弦定理！94Please respect copyright.ＰＥＮＡＮＡu2BBb8Y1MF
用向量瞬間導出餘弦定理！94Please respect copyright.ＰＥＮＡＮＡisPllgRJZe
不論幾次元都能處理的向量94Please respect copyright.ＰＥＮＡＮＡWXof83l8Ns
Column少年來了！（前篇）94Please respect copyright.ＰＥＮＡＮＡgMSE4WriUg
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第6天 特別課程②：用「微積分」預測未來！94Please respect copyright.ＰＥＮＡＮＡ9o1R9mADuD
第一課 人類的寶物！了解微分積分94Please respect copyright.ＰＥＮＡＮＡZF2gD1Lt5h
微分積分與函數的關係94Please respect copyright.ＰＥＮＡＮＡfUSxvYcJ2o
今天的主題是「三角形面積」94Please respect copyright.ＰＥＮＡＮＡDn8Y93PVgj
牛頓VS萊布尼茲的仁義之戰94Please respect copyright.ＰＥＮＡＮＡqjA1JGAuFf
怎麼區分最合適？94Please respect copyright.ＰＥＮＡＮＡjTtx4oliif
用微積分計算三角形的面積！94Please respect copyright.ＰＥＮＡＮＡKYXF8UfsPg
來認識微分積分的符號94Please respect copyright.ＰＥＮＡＮＡVHXCkorikA
Column少年來了！（後篇）94Please respect copyright.ＰＥＮＡＮＡX28KbeH5fE
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第二課 用Excel預測未來！94Please respect copyright.ＰＥＮＡＮＡVwbP0QvC8K
現代人，用Excel就能預測未來94Please respect copyright.ＰＥＮＡＮＡMQYnXxieTn
掌握Excel的使用方法！94Please respect copyright.ＰＥＮＡＮＡytnlRAirwz
「數學家」、「AI」、「統計學家」的差別94Please respect copyright.ＰＥＮＡＮＡUakHD42bAu
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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！！
ns18.117.148.44da2
然後按「加至主畫面」