【20 天 (結果變5天) 來 Skim + Scan (03)：一頁書心得 (數商)】
https://www.penana.com/article/1649263
39Please respect copyright.ＰＥＮＡＮＡXQOAyL8xpf
39Please respect copyright.ＰＥＮＡＮＡFuGWQgqtrE
因為時間關係，我把 20 本縮減為 5 本。
39Please respect copyright.ＰＥＮＡＮＡSGkEAjLJWv
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。
39Please respect copyright.ＰＥＮＡＮＡfjg58uRDkl
from 博客來網路書店・我的電子書櫃「日記創挑書單」
39Please respect copyright.ＰＥＮＡＮＡMdFvKq97Kw
39Please respect copyright.ＰＥＮＡＮＡrXz2JaBjV5
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
39Please respect copyright.ＰＥＮＡＮＡD5feXshdbQ
目錄
前言39Please respect copyright.ＰＥＮＡＮＡ66lamNNgiG
登場人物介紹39Please respect copyright.ＰＥＮＡＮＡvwCvyTdwVn
39Please respect copyright.ＰＥＮＡＮＡFVUjmPSAIS
第一天 數學的樂趣在哪裡？39Please respect copyright.ＰＥＮＡＮＡiHJSr6qSX7
第一課 其實並不可怕的高中數學39Please respect copyright.ＰＥＮＡＮＡqf4W8IuTpE
好想學真正實用的數學！39Please respect copyright.ＰＥＮＡＮＡPM2VLuaXGS
高中數學比國中數學還簡單！？39Please respect copyright.ＰＥＮＡＮＡbQKT6KAaGF
39Please respect copyright.ＰＥＮＡＮＡqIDDk2qkzY
第二課 超精簡的創新數學課！39Please respect copyright.ＰＥＮＡＮＡp5NsO4fzLc
果斷刪去八成教科書內容！39Please respect copyright.ＰＥＮＡＮＡcWg08ikbvr
世界首創！「西成流」數學分類法39Please respect copyright.ＰＥＮＡＮＡ6orwsmYV2B
高中數學中最輕鬆的是「代數」39Please respect copyright.ＰＥＮＡＮＡmfaf24lTzE
高中數學的顛峰是「微分積分」39Please respect copyright.ＰＥＮＡＮＡoVVaB3gDwX
超好用的工具「餘弦定理」39Please respect copyright.ＰＥＮＡＮＡYqHxaGkfjW
真正的幾何大魔王是「向量」39Please respect copyright.ＰＥＮＡＮＡdxBPSuuLge
Column文組無法理解數學的理由39Please respect copyright.ＰＥＮＡＮＡGgeLioGyX7
39Please respect copyright.ＰＥＮＡＮＡKJqHzW0qqC
第二天 輕鬆致勝！搞懂「代數」就能精通高中文組數學！！39Please respect copyright.ＰＥＮＡＮＡzOolHCDvdv
第一課 速速學會統計學基礎39Please respect copyright.ＰＥＮＡＮＡGfIUxu6lv5
數據處理的3大必備條件39Please respect copyright.ＰＥＮＡＮＡSvBGlw9YAd
為什麼增加個數很好用？39Please respect copyright.ＰＥＮＡＮＡTLp3W6DkV1
「排列組合」是指什麼？39Please respect copyright.ＰＥＮＡＮＡfc8xyNnNbG
看離散程度的「標準差」39Please respect copyright.ＰＥＮＡＮＡCJyrVzKbIT
39Please respect copyright.ＰＥＮＡＮＡjymbC953D9
第二課 記住「數列相加」的方法39Please respect copyright.ＰＥＮＡＮＡIkXkCbE2WR
天才高斯少年發現的「倒序相加」39Please respect copyright.ＰＥＮＡＮＡ6inGvomrKX
超好用！任何等差數列都能用39Please respect copyright.ＰＥＮＡＮＡzyuPqkhiAF
嚴禁直接死背公式！39Please respect copyright.ＰＥＮＡＮＡ7xsk9kLHrw
導出等差數列和的公式39Please respect copyright.ＰＥＮＡＮＡI1yRm3KF2I
豐臣秀吉被擺了一道！數學變黃金的故事39Please respect copyright.ＰＥＮＡＮＡICge0l8Nqr
等比數列是「相乘後錯位相減」39Please respect copyright.ＰＥＮＡＮＡdxMtpzt5Zg
導出等比數列和的公式39Please respect copyright.ＰＥＮＡＮＡ7yIkDsUzj4
先知道處理數列和的符號！39Please respect copyright.ＰＥＮＡＮＡryyVpj5flQ
Column把數學記號當作是念魔咒39Please respect copyright.ＰＥＮＡＮＡbTPPGpVG8C
39Please respect copyright.ＰＥＮＡＮＡuN6VubdOns
第三課 記住「排列組合法」39Please respect copyright.ＰＥＮＡＮＡaYFhxUW2WG
從賽馬了解「排列」與「組合」39Please respect copyright.ＰＥＮＡＮＡuuMpaYE3JU
Step①了解階乘的計算方法39Please respect copyright.ＰＥＮＡＮＡGEFJSyozUF
Step②了解排列的計算方法39Please respect copyright.ＰＥＮＡＮＡnNApn0VDrI
Step③了解組合的計算方法39Please respect copyright.ＰＥＮＡＮＡFWajVqwWjK
了解「排列」與「組合」的式子39Please respect copyright.ＰＥＮＡＮＡbPtlDV1wSB
「排列」和「組合」的符號是「P」和「C」39Please respect copyright.ＰＥＮＡＮＡMIyjG8SiSa
運用「排列」和「組合」排班表39Please respect copyright.ＰＥＮＡＮＡHbbRF2hMek
39Please respect copyright.ＰＥＮＡＮＡO7pDMioFLe
第四課 搞懂「離散值」和「標準差」39Please respect copyright.ＰＥＮＡＮＡuzNDAl1Tpf
資訊分析的基礎是找到「數據的規則」39Please respect copyright.ＰＥＮＡＮＡQEgxyKHHBk
兩個步驟找出離散程度39Please respect copyright.ＰＥＮＡＮＡEFh1Q9zRvj
平均、分散、標準差的深～度關係39Please respect copyright.ＰＥＮＡＮＡ2CNTwC8yA4
平均、離散、標準差的記號39Please respect copyright.ＰＥＮＡＮＡEGBOmGUcKH
試著用Excel計算標準差39Please respect copyright.ＰＥＮＡＮＡtQ26uNTSZ5
也把「偏差值」的計算公式記起來39Please respect copyright.ＰＥＮＡＮＡ1fvJkH8M5b
附註內容①深奧的平均世界39Please respect copyright.ＰＥＮＡＮＡY8hNN9uPml
附註內容②平均值、中位數、眾數39Please respect copyright.ＰＥＮＡＮＡjErZbTrHEc
39Please respect copyright.ＰＥＮＡＮＡBYdA3wAFok
第三天 超爽快！掌握高中文組數學的「分析」！39Please respect copyright.ＰＥＮＡＮＡWJWlKCa7Xm
第一課 豁然開朗！函數的世界39Please respect copyright.ＰＥＮＡＮＡmfYf4cFm2I
函數與方程式的差別？39Please respect copyright.ＰＥＮＡＮＡEicVW9pRbP
高中數學的4種函數39Please respect copyright.ＰＥＮＡＮＡWh9435XUQP
Column少年西成的理科腦情書39Please respect copyright.ＰＥＮＡＮＡaxSTcOfyF8
39Please respect copyright.ＰＥＮＡＮＡXi19qLlk3l
第二課 來複習二次函數！39Please respect copyright.ＰＥＮＡＮＡBoM6AJmovB
速速複習！二次方程式39Please respect copyright.ＰＥＮＡＮＡfgJbRvJJBQ
畫出二次函數的圖形！39Please respect copyright.ＰＥＮＡＮＡfUGJUYIAkv
Column 物理學家是名偵探39Please respect copyright.ＰＥＮＡＮＡjhltloecjD
39Please respect copyright.ＰＥＮＡＮＡ56dyP4bvPV
第三課 指數函數超好用！39Please respect copyright.ＰＥＮＡＮＡFRg9rRM2fQ
記住指數函數的相關用語39Please respect copyright.ＰＥＮＡＮＡ9thJq8c9Gl
基本規則①乘冪相乘時，指數相加39Please respect copyright.ＰＥＮＡＮＡ5WcRVxKlSL
基本規則②乘冪再乘冪時，指數相乘39Please respect copyright.ＰＥＮＡＮＡMclz6eL6P1
基本規則③乘冪相除時，指數相減39Please respect copyright.ＰＥＮＡＮＡdJbVTNMldH
指數是負數時會怎樣？39Please respect copyright.ＰＥＮＡＮＡkHisfcWiNB
指數是「0」的時候會怎樣？39Please respect copyright.ＰＥＮＡＮＡ352f37xzjw
根號可以轉換成指數運算39Please respect copyright.ＰＥＮＡＮＡlCuQirgjOG
統整指數運算的處理方式39Please respect copyright.ＰＥＮＡＮＡdfq6gX5Vr3
將指數函數做成圖形看看！39Please respect copyright.ＰＥＮＡＮＡCGyPTue5Mv
順便來談談「對數函數」的內容39Please respect copyright.ＰＥＮＡＮＡjEtMZ8KrTU
天文數字也可以處理的對數函數39Please respect copyright.ＰＥＮＡＮＡJlNUuyHUzF
指數函數與音樂的深～度關係39Please respect copyright.ＰＥＮＡＮＡ4WBUVhRe31
用iPhone計算指數函數的方法39Please respect copyright.ＰＥＮＡＮＡVkRD8KwZW8
39Please respect copyright.ＰＥＮＡＮＡRwcbbsuWXa
第四天 秒懂高中數學的「幾何」精髓！39Please respect copyright.ＰＥＮＡＮＡfkzBe7h0UG
第一課 不再霧煞煞的「三角比」39Please respect copyright.ＰＥＮＡＮＡD5MopKqltw
以餘弦定理搞懂三角形39Please respect copyright.ＰＥＮＡＮＡZmYeyeHUvW
畫三角形的「西成流」作法39Please respect copyright.ＰＥＮＡＮＡqvCCrAxHNc
sin、cos、tan是指「邊長比」39Please respect copyright.ＰＥＮＡＮＡ7bm0YmIqbh
忘掉tan的存在吧！39Please respect copyright.ＰＥＮＡＮＡJlf6gSFpYu
直角三角形的定義中必要的θ39Please respect copyright.ＰＥＮＡＮＡQpLRAB80k5
三角比經常出現的陷阱題39Please respect copyright.ＰＥＮＡＮＡwppS89eHJJ
39Please respect copyright.ＰＥＮＡＮＡFooKYC4yVH
第二課 俐落導出餘弦定理公式39Please respect copyright.ＰＥＮＡＮＡ6spce1mCa2
用三角比可以做的事39Please respect copyright.ＰＥＮＡＮＡOcpfbEFAaa
導出餘弦定理①事前準備39Please respect copyright.ＰＥＮＡＮＡ6PpGJVKgeM
導出餘弦定理②成立公式、解開39Please respect copyright.ＰＥＮＡＮＡYZFxCK3Dja
導出餘弦定理③證明sin2θ+ cos2θ= 139Please respect copyright.ＰＥＮＡＮＡnN3O0hb44P
導出餘弦定理④完成39Please respect copyright.ＰＥＮＡＮＡOuE1iHTtvp
餘弦定理與畢氏定理的關係39Please respect copyright.ＰＥＮＡＮＡxJck179gAq
39Please respect copyright.ＰＥＮＡＮＡsQuazLZJxQ
第三課 學習最後的分析工具「三角函數」！39Please respect copyright.ＰＥＮＡＮＡYNANuQgWL1
三角函數只是將θ與y的關係圖像化39Please respect copyright.ＰＥＮＡＮＡEvsvrD7NE4
39Please respect copyright.ＰＥＮＡＮＡFjYLXxqp8X
第五天 特別課程①：幾何的最終武器「向量」！39Please respect copyright.ＰＥＮＡＮＡ6tr5V0hgGI
第一課 偉大的「向量」39Please respect copyright.ＰＥＮＡＮＡUlqR7zyThn
用代數解幾何問題！？39Please respect copyright.ＰＥＮＡＮＡcIvvkM1hyP
「短短數行」就能證明餘弦定理39Please respect copyright.ＰＥＮＡＮＡY8nnbZizzf
39Please respect copyright.ＰＥＮＡＮＡCPo1wE1IPk
第二課 了解「向量」的超嶄新概念39Please respect copyright.ＰＥＮＡＮＡgx73G6szxl
向量是集結兩種資訊的「特殊容器」39Please respect copyright.ＰＥＮＡＮＡmpsrSyo0dJ
眾所熟知的「純量」39Please respect copyright.ＰＥＮＡＮＡ83xPKysnnF
數據時代的主角「張量」39Please respect copyright.ＰＥＮＡＮＡIXHTSAYkzF
為什麼我們需要向量？39Please respect copyright.ＰＥＮＡＮＡZYDvOTTgcq
39Please respect copyright.ＰＥＮＡＮＡlyUPKUjNl8
第三課 「向量」是用箭頭當作記號唷39Please respect copyright.ＰＥＮＡＮＡzey9GaZzSL
向量的書寫規則39Please respect copyright.ＰＥＮＡＮＡs4rudPDjD2
張量的畫法39Please respect copyright.ＰＥＮＡＮＡJvk2cwqzkf
試著把向量畫成圖39Please respect copyright.ＰＥＮＡＮＡf8K4GNFuiE
39Please respect copyright.ＰＥＮＡＮＡ58Dd1gSHeM
第四課 「向量」的計算超簡單！39Please respect copyright.ＰＥＮＡＮＡ6TVshDIx5l
來算算向量的加法吧39Please respect copyright.ＰＥＮＡＮＡdsMLlAnsyj
也來算算向量的減法39Please respect copyright.ＰＥＮＡＮＡVfQMPDsDkd
試著分解向量吧39Please respect copyright.ＰＥＮＡＮＡKdJOW5BYIh
試著挑戰向量的乘法39Please respect copyright.ＰＥＮＡＮＡq973SULZEm
39Please respect copyright.ＰＥＮＡＮＡGbYMDlaeYy
第五課 靠「向量」秒殺餘弦定理！39Please respect copyright.ＰＥＮＡＮＡuS4jVwedYD
用向量瞬間導出餘弦定理！39Please respect copyright.ＰＥＮＡＮＡzrD7K09Gv6
不論幾次元都能處理的向量39Please respect copyright.ＰＥＮＡＮＡ3Vv32klCPk
Column少年來了！（前篇）39Please respect copyright.ＰＥＮＡＮＡpWQYWaHTGr
39Please respect copyright.ＰＥＮＡＮＡh45N7FKz5c
第6天 特別課程②：用「微積分」預測未來！39Please respect copyright.ＰＥＮＡＮＡaM26vo1tmU
第一課 人類的寶物！了解微分積分39Please respect copyright.ＰＥＮＡＮＡY6p3HOWtcD
微分積分與函數的關係39Please respect copyright.ＰＥＮＡＮＡnXCrjgpUHL
今天的主題是「三角形面積」39Please respect copyright.ＰＥＮＡＮＡiBoY8zwfir
牛頓VS萊布尼茲的仁義之戰39Please respect copyright.ＰＥＮＡＮＡxHMMo7ayed
怎麼區分最合適？39Please respect copyright.ＰＥＮＡＮＡndL9B0FY18
用微積分計算三角形的面積！39Please respect copyright.ＰＥＮＡＮＡdbscFQD1HL
來認識微分積分的符號39Please respect copyright.ＰＥＮＡＮＡm0GCxHXj2I
Column少年來了！（後篇）39Please respect copyright.ＰＥＮＡＮＡfapowMt4D8
39Please respect copyright.ＰＥＮＡＮＡXlDacvjyMZ
第二課 用Excel預測未來！39Please respect copyright.ＰＥＮＡＮＡjx29tsl4Ls
現代人，用Excel就能預測未來39Please respect copyright.ＰＥＮＡＮＡxo7RPZxCFq
掌握Excel的使用方法！39Please respect copyright.ＰＥＮＡＮＡFerwB2L4PC
「數學家」、「AI」、「統計學家」的差別39Please respect copyright.ＰＥＮＡＮＡl0uZVHum2c
39Please respect copyright.ＰＥＮＡＮＡg8B11HnVPM
後記
39Please respect copyright.ＰＥＮＡＮＡwJvfHHxW94
39Please respect copyright.ＰＥＮＡＮＡzaNRJ2ZxhV
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》
39Please respect copyright.ＰＥＮＡＮＡBbKN6hHorK
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。
39Please respect copyright.ＰＥＮＡＮＡ2CSqakjwYH
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。
39Please respect copyright.ＰＥＮＡＮＡHi0b5okbO0
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。
39Please respect copyright.ＰＥＮＡＮＡAevoxfo6Sl
39Please respect copyright.ＰＥＮＡＮＡTA99PJJ0ul
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。
39Please respect copyright.ＰＥＮＡＮＡx0nDRiZCap
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
39Please respect copyright.ＰＥＮＡＮＡZvEQ6C3fB5
39Please respect copyright.ＰＥＮＡＮＡxmXgpaMD6d
【十二年國教課程綱要：數學領域 (節錄)】
39Please respect copyright.ＰＥＮＡＮＡkeWRxF8Ahi
39Please respect copyright.ＰＥＮＡＮＡuQtC7xRptT
39Please respect copyright.ＰＥＮＡＮＡ1mZOEwPTdP
【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
39Please respect copyright.ＰＥＮＡＮＡvCowyvrWbP
39Please respect copyright.ＰＥＮＡＮＡRzHiLAhasK
今天到此為止，我們明天見！！
ns 15.158.61.19da2
