【20 天 (結果變5天) 來 Skim + Scan (03)：一頁書心得 (數商)】
https://www.penana.com/article/1649263
139Please respect copyright.ＰＥＮＡＮＡLRNN8BJmbb
139Please respect copyright.ＰＥＮＡＮＡosPVErNeX2
因為時間關係，我把 20 本縮減為 5 本。
139Please respect copyright.ＰＥＮＡＮＡcHS1wnI4ZW
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。
139Please respect copyright.ＰＥＮＡＮＡJcYgFsl5Ws
from 博客來網路書店・我的電子書櫃「日記創挑書單」
139Please respect copyright.ＰＥＮＡＮＡvcxcARd8zn
139Please respect copyright.ＰＥＮＡＮＡC14cZsTJ3q
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
139Please respect copyright.ＰＥＮＡＮＡ7ppUIxDvfn
目錄
前言139Please respect copyright.ＰＥＮＡＮＡS8uTREZYp8
登場人物介紹139Please respect copyright.ＰＥＮＡＮＡCPTjNYkmw7
139Please respect copyright.ＰＥＮＡＮＡXT9mTr1yiM
第一天 數學的樂趣在哪裡？139Please respect copyright.ＰＥＮＡＮＡ0lqRlzn0li
第一課 其實並不可怕的高中數學139Please respect copyright.ＰＥＮＡＮＡ68vf2mxJOI
好想學真正實用的數學！139Please respect copyright.ＰＥＮＡＮＡWmRZ0hFHmG
高中數學比國中數學還簡單！？139Please respect copyright.ＰＥＮＡＮＡsLc8uyjolw
139Please respect copyright.ＰＥＮＡＮＡQXclUFDmkn
第二課 超精簡的創新數學課！139Please respect copyright.ＰＥＮＡＮＡZiKXy8nrN5
果斷刪去八成教科書內容！139Please respect copyright.ＰＥＮＡＮＡRgY6d1ZwXc
世界首創！「西成流」數學分類法139Please respect copyright.ＰＥＮＡＮＡo2Bpgy0Uyo
高中數學中最輕鬆的是「代數」139Please respect copyright.ＰＥＮＡＮＡDVe8JnWAWM
高中數學的顛峰是「微分積分」139Please respect copyright.ＰＥＮＡＮＡNteiSwOQmk
超好用的工具「餘弦定理」139Please respect copyright.ＰＥＮＡＮＡSAfzet7R4R
真正的幾何大魔王是「向量」139Please respect copyright.ＰＥＮＡＮＡUJcFyaKNfi
Column文組無法理解數學的理由139Please respect copyright.ＰＥＮＡＮＡdbeTngwZmD
139Please respect copyright.ＰＥＮＡＮＡniZb4nSdMp
第二天 輕鬆致勝！搞懂「代數」就能精通高中文組數學！！139Please respect copyright.ＰＥＮＡＮＡC9iutT4qC5
第一課 速速學會統計學基礎139Please respect copyright.ＰＥＮＡＮＡlEU2PRlTiO
數據處理的3大必備條件139Please respect copyright.ＰＥＮＡＮＡCZMZxRiG42
為什麼增加個數很好用？139Please respect copyright.ＰＥＮＡＮＡc30EqLbDVn
「排列組合」是指什麼？139Please respect copyright.ＰＥＮＡＮＡC1ByjDfarf
看離散程度的「標準差」139Please respect copyright.ＰＥＮＡＮＡQdYNZe0jyJ
139Please respect copyright.ＰＥＮＡＮＡaVC9YOqY70
第二課 記住「數列相加」的方法139Please respect copyright.ＰＥＮＡＮＡaUwBnKHPhi
天才高斯少年發現的「倒序相加」139Please respect copyright.ＰＥＮＡＮＡfR66XqXyC6
超好用！任何等差數列都能用139Please respect copyright.ＰＥＮＡＮＡ6eZh7mbET3
嚴禁直接死背公式！139Please respect copyright.ＰＥＮＡＮＡQQ7sH8CAz0
導出等差數列和的公式139Please respect copyright.ＰＥＮＡＮＡRQvb0RtF0x
豐臣秀吉被擺了一道！數學變黃金的故事139Please respect copyright.ＰＥＮＡＮＡNEqsm3aOVl
等比數列是「相乘後錯位相減」139Please respect copyright.ＰＥＮＡＮＡNQQrv2HPPR
導出等比數列和的公式139Please respect copyright.ＰＥＮＡＮＡYJ1kDukUnn
先知道處理數列和的符號！139Please respect copyright.ＰＥＮＡＮＡ8JTCPIpZgL
Column把數學記號當作是念魔咒139Please respect copyright.ＰＥＮＡＮＡkK5RJYfoDH
139Please respect copyright.ＰＥＮＡＮＡGxLOpeMRwI
第三課 記住「排列組合法」139Please respect copyright.ＰＥＮＡＮＡiuBHQu2B1Y
從賽馬了解「排列」與「組合」139Please respect copyright.ＰＥＮＡＮＡWMZ5c8pC8j
Step①了解階乘的計算方法139Please respect copyright.ＰＥＮＡＮＡqoaAnNsI8X
Step②了解排列的計算方法139Please respect copyright.ＰＥＮＡＮＡWyMFmgJadk
Step③了解組合的計算方法139Please respect copyright.ＰＥＮＡＮＡJVe7jfAaH1
了解「排列」與「組合」的式子139Please respect copyright.ＰＥＮＡＮＡi59AYlluU3
「排列」和「組合」的符號是「P」和「C」139Please respect copyright.ＰＥＮＡＮＡhVVDK99Y1Z
運用「排列」和「組合」排班表139Please respect copyright.ＰＥＮＡＮＡJ8cCTpfFD2
139Please respect copyright.ＰＥＮＡＮＡEzDLWAneYW
第四課 搞懂「離散值」和「標準差」139Please respect copyright.ＰＥＮＡＮＡ1BZNfMfC8c
資訊分析的基礎是找到「數據的規則」139Please respect copyright.ＰＥＮＡＮＡcH5EvYroNp
兩個步驟找出離散程度139Please respect copyright.ＰＥＮＡＮＡVpQWC8LQxC
平均、分散、標準差的深～度關係139Please respect copyright.ＰＥＮＡＮＡL7Ugq3y4r9
平均、離散、標準差的記號139Please respect copyright.ＰＥＮＡＮＡ9r2UFAHTXk
試著用Excel計算標準差139Please respect copyright.ＰＥＮＡＮＡvZqTyOs16Q
也把「偏差值」的計算公式記起來139Please respect copyright.ＰＥＮＡＮＡjTwanDVWH9
附註內容①深奧的平均世界139Please respect copyright.ＰＥＮＡＮＡdUMVDHBo08
附註內容②平均值、中位數、眾數139Please respect copyright.ＰＥＮＡＮＡHs1NhJgrBf
139Please respect copyright.ＰＥＮＡＮＡ1lK4hskBvd
第三天 超爽快！掌握高中文組數學的「分析」！139Please respect copyright.ＰＥＮＡＮＡJmVt35ytxT
第一課 豁然開朗！函數的世界139Please respect copyright.ＰＥＮＡＮＡJinJaGVhih
函數與方程式的差別？139Please respect copyright.ＰＥＮＡＮＡSyUoK9hwJl
高中數學的4種函數139Please respect copyright.ＰＥＮＡＮＡNoNAQEWfZi
Column少年西成的理科腦情書139Please respect copyright.ＰＥＮＡＮＡk6BjXYOkYr
139Please respect copyright.ＰＥＮＡＮＡuQtOwK8eVu
第二課 來複習二次函數！139Please respect copyright.ＰＥＮＡＮＡsmI4PSL2Zk
速速複習！二次方程式139Please respect copyright.ＰＥＮＡＮＡGGrKJTUpsM
畫出二次函數的圖形！139Please respect copyright.ＰＥＮＡＮＡgUSVPntaT8
Column 物理學家是名偵探139Please respect copyright.ＰＥＮＡＮＡ6cE5R1NNH3
139Please respect copyright.ＰＥＮＡＮＡrsWD3TzKgY
第三課 指數函數超好用！139Please respect copyright.ＰＥＮＡＮＡ0cviWBc7CC
記住指數函數的相關用語139Please respect copyright.ＰＥＮＡＮＡfB6oYgbGaE
基本規則①乘冪相乘時，指數相加139Please respect copyright.ＰＥＮＡＮＡSWhvqTgX9Q
基本規則②乘冪再乘冪時，指數相乘139Please respect copyright.ＰＥＮＡＮＡLtuUKOlB9k
基本規則③乘冪相除時，指數相減139Please respect copyright.ＰＥＮＡＮＡo7hLMjcgNP
指數是負數時會怎樣？139Please respect copyright.ＰＥＮＡＮＡf4HU2AT8oX
指數是「0」的時候會怎樣？139Please respect copyright.ＰＥＮＡＮＡMmx9cYMyvB
根號可以轉換成指數運算139Please respect copyright.ＰＥＮＡＮＡ50niCVt175
統整指數運算的處理方式139Please respect copyright.ＰＥＮＡＮＡJgkhnW35cV
將指數函數做成圖形看看！139Please respect copyright.ＰＥＮＡＮＡ6xa2I3orKh
順便來談談「對數函數」的內容139Please respect copyright.ＰＥＮＡＮＡ5UWv7uhErQ
天文數字也可以處理的對數函數139Please respect copyright.ＰＥＮＡＮＡcmY64S8SDx
指數函數與音樂的深～度關係139Please respect copyright.ＰＥＮＡＮＡxEwQxoEQPs
用iPhone計算指數函數的方法139Please respect copyright.ＰＥＮＡＮＡcYmUG5xn0f
139Please respect copyright.ＰＥＮＡＮＡLAUdDWDROa
第四天 秒懂高中數學的「幾何」精髓！139Please respect copyright.ＰＥＮＡＮＡSBh69L22VV
第一課 不再霧煞煞的「三角比」139Please respect copyright.ＰＥＮＡＮＡaJmLW8IOKG
以餘弦定理搞懂三角形139Please respect copyright.ＰＥＮＡＮＡo7N5RWEqmf
畫三角形的「西成流」作法139Please respect copyright.ＰＥＮＡＮＡ9NpFATnSA2
sin、cos、tan是指「邊長比」139Please respect copyright.ＰＥＮＡＮＡzwextrOJk4
忘掉tan的存在吧！139Please respect copyright.ＰＥＮＡＮＡEXrWH9p218
直角三角形的定義中必要的θ139Please respect copyright.ＰＥＮＡＮＡ18hUOz1suF
三角比經常出現的陷阱題139Please respect copyright.ＰＥＮＡＮＡ335p6i9N4m
139Please respect copyright.ＰＥＮＡＮＡhHJ2S87Btk
第二課 俐落導出餘弦定理公式139Please respect copyright.ＰＥＮＡＮＡ4YymGsc3Nd
用三角比可以做的事139Please respect copyright.ＰＥＮＡＮＡp0iLPd3uUo
導出餘弦定理①事前準備139Please respect copyright.ＰＥＮＡＮＡbiDyEn75mC
導出餘弦定理②成立公式、解開139Please respect copyright.ＰＥＮＡＮＡDv21mNRa6Y
導出餘弦定理③證明sin2θ+ cos2θ= 1139Please respect copyright.ＰＥＮＡＮＡuRWySRvFYO
導出餘弦定理④完成139Please respect copyright.ＰＥＮＡＮＡdwnANvGnlo
餘弦定理與畢氏定理的關係139Please respect copyright.ＰＥＮＡＮＡe5AWh8KQH6
139Please respect copyright.ＰＥＮＡＮＡC6uEj3dqaW
第三課 學習最後的分析工具「三角函數」！139Please respect copyright.ＰＥＮＡＮＡTtgWwbicgB
三角函數只是將θ與y的關係圖像化139Please respect copyright.ＰＥＮＡＮＡXgdAhmFhQq
139Please respect copyright.ＰＥＮＡＮＡCBBAkAjVK4
第五天 特別課程①：幾何的最終武器「向量」！139Please respect copyright.ＰＥＮＡＮＡG8r06GTrgI
第一課 偉大的「向量」139Please respect copyright.ＰＥＮＡＮＡQ7jZLHRiYk
用代數解幾何問題！？139Please respect copyright.ＰＥＮＡＮＡ7gPzzHIY7z
「短短數行」就能證明餘弦定理139Please respect copyright.ＰＥＮＡＮＡljkOmROrWe
139Please respect copyright.ＰＥＮＡＮＡlgjbfTMpKL
第二課 了解「向量」的超嶄新概念139Please respect copyright.ＰＥＮＡＮＡylcPtjGy1i
向量是集結兩種資訊的「特殊容器」139Please respect copyright.ＰＥＮＡＮＡ8i9eTbn47E
眾所熟知的「純量」139Please respect copyright.ＰＥＮＡＮＡvuZWUhwJwU
數據時代的主角「張量」139Please respect copyright.ＰＥＮＡＮＡ97gFeQHOl5
為什麼我們需要向量？139Please respect copyright.ＰＥＮＡＮＡM7PBiopvPt
139Please respect copyright.ＰＥＮＡＮＡuOHYnqNkIb
第三課 「向量」是用箭頭當作記號唷139Please respect copyright.ＰＥＮＡＮＡ6oXwn2pigs
向量的書寫規則139Please respect copyright.ＰＥＮＡＮＡWIXthAq184
張量的畫法139Please respect copyright.ＰＥＮＡＮＡCZpYBv2v1l
試著把向量畫成圖139Please respect copyright.ＰＥＮＡＮＡxNgknpiVmO
139Please respect copyright.ＰＥＮＡＮＡz9Hg1YlsJj
第四課 「向量」的計算超簡單！139Please respect copyright.ＰＥＮＡＮＡbyHWiBBpVR
來算算向量的加法吧139Please respect copyright.ＰＥＮＡＮＡnXTNFgVaEf
也來算算向量的減法139Please respect copyright.ＰＥＮＡＮＡsswuVFXvDg
試著分解向量吧139Please respect copyright.ＰＥＮＡＮＡ7K1Acvrg9o
試著挑戰向量的乘法139Please respect copyright.ＰＥＮＡＮＡRBsgDyKDb7
139Please respect copyright.ＰＥＮＡＮＡ3JZaTM2bvL
第五課 靠「向量」秒殺餘弦定理！139Please respect copyright.ＰＥＮＡＮＡZB4YXOLy6V
用向量瞬間導出餘弦定理！139Please respect copyright.ＰＥＮＡＮＡTFestCimgh
不論幾次元都能處理的向量139Please respect copyright.ＰＥＮＡＮＡgWyUYo0Niu
Column少年來了！（前篇）139Please respect copyright.ＰＥＮＡＮＡlZxtVSqVm6
139Please respect copyright.ＰＥＮＡＮＡGG2mmfRt8d
第6天 特別課程②：用「微積分」預測未來！139Please respect copyright.ＰＥＮＡＮＡsCZNd93ek9
第一課 人類的寶物！了解微分積分139Please respect copyright.ＰＥＮＡＮＡdd52iXkV0X
微分積分與函數的關係139Please respect copyright.ＰＥＮＡＮＡlZz4mzCMEw
今天的主題是「三角形面積」139Please respect copyright.ＰＥＮＡＮＡ4Yy5lrNV7v
牛頓VS萊布尼茲的仁義之戰139Please respect copyright.ＰＥＮＡＮＡ3aSaemfJBU
怎麼區分最合適？139Please respect copyright.ＰＥＮＡＮＡfCvJ4sccID
用微積分計算三角形的面積！139Please respect copyright.ＰＥＮＡＮＡPEJAd1Dr97
來認識微分積分的符號139Please respect copyright.ＰＥＮＡＮＡAqqilMrO5z
Column少年來了！（後篇）139Please respect copyright.ＰＥＮＡＮＡ7vMkHDuR8z
139Please respect copyright.ＰＥＮＡＮＡBRdrEm7Udn
第二課 用Excel預測未來！139Please respect copyright.ＰＥＮＡＮＡurVnosIprb
現代人，用Excel就能預測未來139Please respect copyright.ＰＥＮＡＮＡbu7dc3E11N
掌握Excel的使用方法！139Please respect copyright.ＰＥＮＡＮＡ1Kw1waLj1a
「數學家」、「AI」、「統計學家」的差別139Please respect copyright.ＰＥＮＡＮＡ2qnHXcYhup
139Please respect copyright.ＰＥＮＡＮＡqVIqSdkVkz
後記
139Please respect copyright.ＰＥＮＡＮＡXCQTuX0HYj
139Please respect copyright.ＰＥＮＡＮＡZNpNDkPj83
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》
139Please respect copyright.ＰＥＮＡＮＡxzzLbdioKn
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。
139Please respect copyright.ＰＥＮＡＮＡzVI16ij9MC
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。
139Please respect copyright.ＰＥＮＡＮＡSPXs1EOynf
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。
139Please respect copyright.ＰＥＮＡＮＡ401mN4CgRv
139Please respect copyright.ＰＥＮＡＮＡYXuZY6R717
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。
139Please respect copyright.ＰＥＮＡＮＡ1fvO70b2Sk
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
139Please respect copyright.ＰＥＮＡＮＡq2YfgFXKyL
139Please respect copyright.ＰＥＮＡＮＡgnxL1Hl889
【十二年國教課程綱要：數學領域 (節錄)】
139Please respect copyright.ＰＥＮＡＮＡj7WMUlC8M4
139Please respect copyright.ＰＥＮＡＮＡPkVw1Z9Tp8
139Please respect copyright.ＰＥＮＡＮＡVmnJ5Xi4nP
【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
139Please respect copyright.ＰＥＮＡＮＡ8xh3JvBn0K
139Please respect copyright.ＰＥＮＡＮＡUytCvYpMa4
今天到此為止，我們明天見！！
ns18.218.146.21da2
