【20 天 (結果變5天) 來 Skim + Scan (03):一頁書心得 (數商)】
https://www.penana.com/article/1649263
180Please respect copyright.PENANAw5oiQGiXf9
180Please respect copyright.PENANAQv9jM7Jhw5
因為時間關係,我把 20 本縮減為 5 本。
180Please respect copyright.PENANAMIibrk1kRn
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。
180Please respect copyright.PENANAgWzIQwoXBQ
from 博客來網路書店・我的電子書櫃「日記創挑書單」
180Please respect copyright.PENANAoCoK7px9aW
180Please respect copyright.PENANAQxpKhHYJVA
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
180Please respect copyright.PENANAl4vXY9nnLR
目錄
前言180Please respect copyright.PENANA2nu1D7rdY7
登場人物介紹180Please respect copyright.PENANAVwiNx552Z2
180Please respect copyright.PENANAoViqD6hOCx
第一天 數學的樂趣在哪裡?180Please respect copyright.PENANAfP27ZuM77e
第一課 其實並不可怕的高中數學180Please respect copyright.PENANAi5V81vg9f3
好想學真正實用的數學!180Please respect copyright.PENANAJRe4mVQdJ9
高中數學比國中數學還簡單!?180Please respect copyright.PENANA9kwZE8o3pZ
180Please respect copyright.PENANAnpSSarzBNg
第二課 超精簡的創新數學課!180Please respect copyright.PENANAbKbZKMTNR1
果斷刪去八成教科書內容!180Please respect copyright.PENANADcQAenawgg
世界首創!「西成流」數學分類法180Please respect copyright.PENANALVhmhQtKYQ
高中數學中最輕鬆的是「代數」180Please respect copyright.PENANA0r3f7cLHlC
高中數學的顛峰是「微分積分」180Please respect copyright.PENANAriKPFOqpHr
超好用的工具「餘弦定理」180Please respect copyright.PENANADhqZckS4o5
真正的幾何大魔王是「向量」180Please respect copyright.PENANAgQe5CwVQx7
Column文組無法理解數學的理由180Please respect copyright.PENANASkOAIk3GqX
180Please respect copyright.PENANASxfG0qnu6r
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!180Please respect copyright.PENANAENoWmC10o8
第一課 速速學會統計學基礎180Please respect copyright.PENANA6DpZKeZDxL
數據處理的3大必備條件180Please respect copyright.PENANAoAa1fDzNed
為什麼增加個數很好用?180Please respect copyright.PENANA9tobXKjl8Y
「排列組合」是指什麼?180Please respect copyright.PENANAlokA5zdMDx
看離散程度的「標準差」180Please respect copyright.PENANAUw5t6tADcX
180Please respect copyright.PENANAnJu0edsFe9
第二課 記住「數列相加」的方法180Please respect copyright.PENANA8JAMyrYmPi
天才高斯少年發現的「倒序相加」180Please respect copyright.PENANAPAX0187KFC
超好用!任何等差數列都能用180Please respect copyright.PENANAJkRdJG4BNO
嚴禁直接死背公式!180Please respect copyright.PENANAymSChXYp4z
導出等差數列和的公式180Please respect copyright.PENANAChcAOLAVkR
豐臣秀吉被擺了一道!數學變黃金的故事180Please respect copyright.PENANAZrlJUk6YOc
等比數列是「相乘後錯位相減」180Please respect copyright.PENANAqm73pSNzHw
導出等比數列和的公式180Please respect copyright.PENANA8LGEPlK2OO
先知道處理數列和的符號!180Please respect copyright.PENANACKzFvQ9q3B
Column把數學記號當作是念魔咒180Please respect copyright.PENANAuuTCqMQ3W3
180Please respect copyright.PENANAOgYBHJVFLm
第三課 記住「排列組合法」180Please respect copyright.PENANAflIIcHT5UM
從賽馬了解「排列」與「組合」180Please respect copyright.PENANAi79Csqgj73
Step①了解階乘的計算方法180Please respect copyright.PENANArvx4C1DGwd
Step②了解排列的計算方法180Please respect copyright.PENANAnDmtjUMY4v
Step③了解組合的計算方法180Please respect copyright.PENANAjB8BrlPTMI
了解「排列」與「組合」的式子180Please respect copyright.PENANAkrkbm95KP5
「排列」和「組合」的符號是「P」和「C」180Please respect copyright.PENANAiHnanWc6OW
運用「排列」和「組合」排班表180Please respect copyright.PENANAL3VdcoYbUa
180Please respect copyright.PENANAPmGWOCA59d
第四課 搞懂「離散值」和「標準差」180Please respect copyright.PENANA6Jsf19YxNv
資訊分析的基礎是找到「數據的規則」180Please respect copyright.PENANAqfci3VKB4j
兩個步驟找出離散程度180Please respect copyright.PENANANNRI488Wha
平均、分散、標準差的深~度關係180Please respect copyright.PENANAq3a73JZSl5
平均、離散、標準差的記號180Please respect copyright.PENANAF2AzBxEfZA
試著用Excel計算標準差180Please respect copyright.PENANAo1JW7DWPYc
也把「偏差值」的計算公式記起來180Please respect copyright.PENANAV57AtyJoeB
附註內容①深奧的平均世界180Please respect copyright.PENANA8W30v6lwAn
附註內容②平均值、中位數、眾數180Please respect copyright.PENANA4AM6iqfJIi
180Please respect copyright.PENANApU0m0fBoMV
第三天 超爽快!掌握高中文組數學的「分析」!180Please respect copyright.PENANAlcJU1pU2Gh
第一課 豁然開朗!函數的世界180Please respect copyright.PENANAZBCjuNbqgK
函數與方程式的差別?180Please respect copyright.PENANAwEEfSWRjUK
高中數學的4種函數180Please respect copyright.PENANAVLc95El1Kk
Column少年西成的理科腦情書180Please respect copyright.PENANAmFWhimW5hD
180Please respect copyright.PENANAG76qwrPUdH
第二課 來複習二次函數!180Please respect copyright.PENANAFjwUeY3N8j
速速複習!二次方程式180Please respect copyright.PENANAORjfCcAUP8
畫出二次函數的圖形!180Please respect copyright.PENANAAIYhfZVv5f
Column 物理學家是名偵探180Please respect copyright.PENANAdmU5mRnu7D
180Please respect copyright.PENANAFKqPWJr7uI
第三課 指數函數超好用!180Please respect copyright.PENANAPb4fIGgN7j
記住指數函數的相關用語180Please respect copyright.PENANAQNHSPcZhum
基本規則①乘冪相乘時,指數相加180Please respect copyright.PENANASpQphS154u
基本規則②乘冪再乘冪時,指數相乘180Please respect copyright.PENANAZg3SNfY6XH
基本規則③乘冪相除時,指數相減180Please respect copyright.PENANAua9f1DiLWo
指數是負數時會怎樣?180Please respect copyright.PENANAzdmxaMwTXe
指數是「0」的時候會怎樣?180Please respect copyright.PENANAnNnjKsHr2G
根號可以轉換成指數運算180Please respect copyright.PENANAMN9jXYTgyH
統整指數運算的處理方式180Please respect copyright.PENANAofUQS2FgYv
將指數函數做成圖形看看!180Please respect copyright.PENANAmcKLOchy9R
順便來談談「對數函數」的內容180Please respect copyright.PENANAAh8K4jB8QN
天文數字也可以處理的對數函數180Please respect copyright.PENANAxLF4rlVlEs
指數函數與音樂的深~度關係180Please respect copyright.PENANAtx6iYIrSXN
用iPhone計算指數函數的方法180Please respect copyright.PENANADNrWV1lOyi
180Please respect copyright.PENANAUdQ8llT4br
第四天 秒懂高中數學的「幾何」精髓!180Please respect copyright.PENANAKmD9SGUW0N
第一課 不再霧煞煞的「三角比」180Please respect copyright.PENANASYoGt4Rcpx
以餘弦定理搞懂三角形180Please respect copyright.PENANA89cgy98Jrt
畫三角形的「西成流」作法180Please respect copyright.PENANAvjJJGmxCXA
sin、cos、tan是指「邊長比」180Please respect copyright.PENANAekIkzhLjDt
忘掉tan的存在吧!180Please respect copyright.PENANA73H49f3usr
直角三角形的定義中必要的θ180Please respect copyright.PENANAy12TGi8Jsu
三角比經常出現的陷阱題180Please respect copyright.PENANAS5ei20OarV
180Please respect copyright.PENANAFJJnscDJ7B
第二課 俐落導出餘弦定理公式180Please respect copyright.PENANAgvphcfAzng
用三角比可以做的事180Please respect copyright.PENANACdEGO0ux5S
導出餘弦定理①事前準備180Please respect copyright.PENANAv1CzcGxpN0
導出餘弦定理②成立公式、解開180Please respect copyright.PENANABHmbrfoIju
導出餘弦定理③證明sin2θ+ cos2θ= 1180Please respect copyright.PENANAroh2yhdFrM
導出餘弦定理④完成180Please respect copyright.PENANASArbeWS1Hu
餘弦定理與畢氏定理的關係180Please respect copyright.PENANAlAqiLzPVCQ
180Please respect copyright.PENANA9nL1Jbsd5A
第三課 學習最後的分析工具「三角函數」!180Please respect copyright.PENANAQs1IAop3aj
三角函數只是將θ與y的關係圖像化180Please respect copyright.PENANArMxqjvSlm6
180Please respect copyright.PENANAv69vZXaC47
第五天 特別課程①:幾何的最終武器「向量」!180Please respect copyright.PENANAtOCpVU7xd7
第一課 偉大的「向量」180Please respect copyright.PENANA3wwGXyMK2s
用代數解幾何問題!?180Please respect copyright.PENANACb8nsS0IFl
「短短數行」就能證明餘弦定理180Please respect copyright.PENANAJeYzoCrasX
180Please respect copyright.PENANA6MGPPM7mDt
第二課 了解「向量」的超嶄新概念180Please respect copyright.PENANA1eNTW2JqjJ
向量是集結兩種資訊的「特殊容器」180Please respect copyright.PENANAeCxYhgx8Lf
眾所熟知的「純量」180Please respect copyright.PENANAztSmh6OjrC
數據時代的主角「張量」180Please respect copyright.PENANAf1Yfj9QrK8
為什麼我們需要向量?180Please respect copyright.PENANA4x6WRrxH7g
180Please respect copyright.PENANAAiNteWWhqR
第三課 「向量」是用箭頭當作記號唷180Please respect copyright.PENANAud6lStoW6F
向量的書寫規則180Please respect copyright.PENANAJOrygVBSe7
張量的畫法180Please respect copyright.PENANAU2BwxXjLsl
試著把向量畫成圖180Please respect copyright.PENANAR3umm3yJS7
180Please respect copyright.PENANAd9Csh7BzJn
第四課 「向量」的計算超簡單!180Please respect copyright.PENANAAUb78ELBUv
來算算向量的加法吧180Please respect copyright.PENANAxmljeGtCEx
也來算算向量的減法180Please respect copyright.PENANABkUwPGAEjA
試著分解向量吧180Please respect copyright.PENANApzoDU5P5qO
試著挑戰向量的乘法180Please respect copyright.PENANAUJKzTxOMKc
180Please respect copyright.PENANAnzs7aS0cnC
第五課 靠「向量」秒殺餘弦定理!180Please respect copyright.PENANAA1H5NC802R
用向量瞬間導出餘弦定理!180Please respect copyright.PENANASH9ntx6aAs
不論幾次元都能處理的向量180Please respect copyright.PENANAJ2DGIQUGsy
Column少年來了!(前篇)180Please respect copyright.PENANAYORRulAZ0M
180Please respect copyright.PENANA0GtRr24rfL
第6天 特別課程②:用「微積分」預測未來!180Please respect copyright.PENANAhagSxYtgt0
第一課 人類的寶物!了解微分積分180Please respect copyright.PENANAMJ2f6OAiuE
微分積分與函數的關係180Please respect copyright.PENANAXy0zSMOCjY
今天的主題是「三角形面積」180Please respect copyright.PENANAb6tFkC3ZHQ
牛頓VS萊布尼茲的仁義之戰180Please respect copyright.PENANAy2OL74O3u0
怎麼區分最合適?180Please respect copyright.PENANAkmxktR5jYl
用微積分計算三角形的面積!180Please respect copyright.PENANATKbkG57mMn
來認識微分積分的符號180Please respect copyright.PENANAoKAwwuPLlg
Column少年來了!(後篇)180Please respect copyright.PENANAQplxI4Lp3F
180Please respect copyright.PENANAfw1lxgrWKD
第二課 用Excel預測未來!180Please respect copyright.PENANAxDakbAtLrb
現代人,用Excel就能預測未來180Please respect copyright.PENANAm1ByVHTDD9
掌握Excel的使用方法!180Please respect copyright.PENANAITIrHmQgd7
「數學家」、「AI」、「統計學家」的差別180Please respect copyright.PENANA8Gy05d0FbH
180Please respect copyright.PENANAXtR8kadcOK
後記
180Please respect copyright.PENANANykPLPvaWU
180Please respect copyright.PENANAGWhjd0k8Ix
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》
180Please respect copyright.PENANAVpeBvH1LFZ
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。
180Please respect copyright.PENANAmQ5D9RKEyK
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。
180Please respect copyright.PENANA3pThQ8mSVP
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。
180Please respect copyright.PENANAOGOjMpCO8n
180Please respect copyright.PENANAmI60ojfzf1
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。
180Please respect copyright.PENANAohwbMgzjlk
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
180Please respect copyright.PENANAbahqKCjqJX
180Please respect copyright.PENANAsl4RG3fpQT
【十二年國教課程綱要:數學領域 (節錄)】
180Please respect copyright.PENANA7jLfwFTboS
180Please respect copyright.PENANAnGg000oTBW
180Please respect copyright.PENANArYdO7lGvHC
【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
180Please respect copyright.PENANAVw0K6Dtl3b
180Please respect copyright.PENANAPTv4pyV8mL
今天到此為止,我們明天見!!
ns216.73.216.100da2