【20 天 (結果變5天) 來 Skim + Scan (03):一頁書心得 (數商)】
https://www.penana.com/article/1649263
210Please respect copyright.PENANAs5XG3JOCrT
210Please respect copyright.PENANAdzUImdmLu3
因為時間關係,我把 20 本縮減為 5 本。
210Please respect copyright.PENANA3UdHyPMOrZ
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。
210Please respect copyright.PENANAR45sB48ENy
from 博客來網路書店・我的電子書櫃「日記創挑書單」
210Please respect copyright.PENANAF4CBjC57x3
210Please respect copyright.PENANAup0Er0Tszm
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
210Please respect copyright.PENANAwtLRUyMKHK
目錄
前言210Please respect copyright.PENANAB5m976nYMe
登場人物介紹210Please respect copyright.PENANALsXKVspkGP
210Please respect copyright.PENANAeUFRCBGvHD
第一天 數學的樂趣在哪裡?210Please respect copyright.PENANAeBE5iescYo
第一課 其實並不可怕的高中數學210Please respect copyright.PENANAsaUGssvoMl
好想學真正實用的數學!210Please respect copyright.PENANALXcnsUePXG
高中數學比國中數學還簡單!?210Please respect copyright.PENANAGoq61XHBle
210Please respect copyright.PENANAx7OP01siFd
第二課 超精簡的創新數學課!210Please respect copyright.PENANAszFP0xCVsx
果斷刪去八成教科書內容!210Please respect copyright.PENANAL0OCQdIqTV
世界首創!「西成流」數學分類法210Please respect copyright.PENANATqoisRls8l
高中數學中最輕鬆的是「代數」210Please respect copyright.PENANAtxCdOLV0yB
高中數學的顛峰是「微分積分」210Please respect copyright.PENANAR4VOEXZk5f
超好用的工具「餘弦定理」210Please respect copyright.PENANAQUrXGVZ3q2
真正的幾何大魔王是「向量」210Please respect copyright.PENANA2XFTSeOG1y
Column文組無法理解數學的理由210Please respect copyright.PENANA410JmCg2Dv
210Please respect copyright.PENANAnRUfW7Gdlr
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!210Please respect copyright.PENANArpCJWY1xML
第一課 速速學會統計學基礎210Please respect copyright.PENANAxddAZS0Dux
數據處理的3大必備條件210Please respect copyright.PENANArGtUuDc38s
為什麼增加個數很好用?210Please respect copyright.PENANAksxHUfneBZ
「排列組合」是指什麼?210Please respect copyright.PENANA7V2TrL7eoY
看離散程度的「標準差」210Please respect copyright.PENANACrkKuZXOqN
210Please respect copyright.PENANA1rSeMpM2zc
第二課 記住「數列相加」的方法210Please respect copyright.PENANAMRMfQOWCYx
天才高斯少年發現的「倒序相加」210Please respect copyright.PENANA4lwhrq8Cjo
超好用!任何等差數列都能用210Please respect copyright.PENANAZ7TIPjAsFR
嚴禁直接死背公式!210Please respect copyright.PENANAzK8Ql8R4Gs
導出等差數列和的公式210Please respect copyright.PENANAdJm5vfjVe5
豐臣秀吉被擺了一道!數學變黃金的故事210Please respect copyright.PENANACCD0z49zMd
等比數列是「相乘後錯位相減」210Please respect copyright.PENANAIArBtEiNN6
導出等比數列和的公式210Please respect copyright.PENANAWZQvqn0Jfr
先知道處理數列和的符號!210Please respect copyright.PENANAIpD0qAd5Jn
Column把數學記號當作是念魔咒210Please respect copyright.PENANAZtrtZLYlzN
210Please respect copyright.PENANAJslS0emz8R
第三課 記住「排列組合法」210Please respect copyright.PENANAMLIGuo2q1Z
從賽馬了解「排列」與「組合」210Please respect copyright.PENANAT9Z5b5UPSt
Step①了解階乘的計算方法210Please respect copyright.PENANAxUPHtgJNj6
Step②了解排列的計算方法210Please respect copyright.PENANAEovsCIGqFR
Step③了解組合的計算方法210Please respect copyright.PENANAuwg85tlat7
了解「排列」與「組合」的式子210Please respect copyright.PENANAq2tk8HMB4a
「排列」和「組合」的符號是「P」和「C」210Please respect copyright.PENANAARGNGe4nGx
運用「排列」和「組合」排班表210Please respect copyright.PENANAWZw6cWcNjE
210Please respect copyright.PENANAmxvXKuFauJ
第四課 搞懂「離散值」和「標準差」210Please respect copyright.PENANAGJkw2dwU9U
資訊分析的基礎是找到「數據的規則」210Please respect copyright.PENANA2QxmdPT7vH
兩個步驟找出離散程度210Please respect copyright.PENANACiNs6aepZp
平均、分散、標準差的深~度關係210Please respect copyright.PENANAkeGM2sGnju
平均、離散、標準差的記號210Please respect copyright.PENANAAFI60Yd5zz
試著用Excel計算標準差210Please respect copyright.PENANA7qKTJJTjGi
也把「偏差值」的計算公式記起來210Please respect copyright.PENANAFwuqb68HV0
附註內容①深奧的平均世界210Please respect copyright.PENANAqNnGhrbCsZ
附註內容②平均值、中位數、眾數210Please respect copyright.PENANAQk8Lkvo5Wk
210Please respect copyright.PENANAXmWdY0fXH7
第三天 超爽快!掌握高中文組數學的「分析」!210Please respect copyright.PENANAcLuSu3ZMal
第一課 豁然開朗!函數的世界210Please respect copyright.PENANAI3gqvdn5M8
函數與方程式的差別?210Please respect copyright.PENANA9hxaEu9CAv
高中數學的4種函數210Please respect copyright.PENANASFan8wXH5Q
Column少年西成的理科腦情書210Please respect copyright.PENANAyILo934lLN
210Please respect copyright.PENANAZUHhGLoKU3
第二課 來複習二次函數!210Please respect copyright.PENANAIBdryANH3Z
速速複習!二次方程式210Please respect copyright.PENANAW194u8qKxJ
畫出二次函數的圖形!210Please respect copyright.PENANAbwerhD5Sqz
Column 物理學家是名偵探210Please respect copyright.PENANArtX8cpsx8q
210Please respect copyright.PENANA9VwNUlByjb
第三課 指數函數超好用!210Please respect copyright.PENANAvfVJk7Qak5
記住指數函數的相關用語210Please respect copyright.PENANARNB08D3lVj
基本規則①乘冪相乘時,指數相加210Please respect copyright.PENANAOaWE90ioWb
基本規則②乘冪再乘冪時,指數相乘210Please respect copyright.PENANAgDJM11VYE2
基本規則③乘冪相除時,指數相減210Please respect copyright.PENANAt19qNZSxwr
指數是負數時會怎樣?210Please respect copyright.PENANA8aRTa4i38l
指數是「0」的時候會怎樣?210Please respect copyright.PENANAVIv1SghTo3
根號可以轉換成指數運算210Please respect copyright.PENANArcGHcPdwCQ
統整指數運算的處理方式210Please respect copyright.PENANAxE2Fi5jm32
將指數函數做成圖形看看!210Please respect copyright.PENANAVF2QyMJ5OS
順便來談談「對數函數」的內容210Please respect copyright.PENANAKx1Ox4sSt1
天文數字也可以處理的對數函數210Please respect copyright.PENANA8qyAMwSx4e
指數函數與音樂的深~度關係210Please respect copyright.PENANAnN0mHgZ7EB
用iPhone計算指數函數的方法210Please respect copyright.PENANAx9htlx6eea
210Please respect copyright.PENANAkG3XOKCOnR
第四天 秒懂高中數學的「幾何」精髓!210Please respect copyright.PENANAfeSIyFlTcZ
第一課 不再霧煞煞的「三角比」210Please respect copyright.PENANATbNj1O086o
以餘弦定理搞懂三角形210Please respect copyright.PENANA1jnEXz7hmb
畫三角形的「西成流」作法210Please respect copyright.PENANAN0BgtEZZH3
sin、cos、tan是指「邊長比」210Please respect copyright.PENANAseIhstFojs
忘掉tan的存在吧!210Please respect copyright.PENANA9wDmtiHKmg
直角三角形的定義中必要的θ210Please respect copyright.PENANAjJa2mZzWWC
三角比經常出現的陷阱題210Please respect copyright.PENANAL1Ob4k0Ll3
210Please respect copyright.PENANARXTQvgbL4e
第二課 俐落導出餘弦定理公式210Please respect copyright.PENANAD2WaQcMdsf
用三角比可以做的事210Please respect copyright.PENANAvOM59HzkgY
導出餘弦定理①事前準備210Please respect copyright.PENANA0D1xhnaLeK
導出餘弦定理②成立公式、解開210Please respect copyright.PENANAfpPTjObZv6
導出餘弦定理③證明sin2θ+ cos2θ= 1210Please respect copyright.PENANAPyBNPLbO3k
導出餘弦定理④完成210Please respect copyright.PENANAaENBIwXR0M
餘弦定理與畢氏定理的關係210Please respect copyright.PENANAC88zsDV7ra
210Please respect copyright.PENANATRmNpttDty
第三課 學習最後的分析工具「三角函數」!210Please respect copyright.PENANA3EGXUtcuVl
三角函數只是將θ與y的關係圖像化210Please respect copyright.PENANAOO4M74pfca
210Please respect copyright.PENANA3igvW7BQIM
第五天 特別課程①:幾何的最終武器「向量」!210Please respect copyright.PENANASMeCAvv3DU
第一課 偉大的「向量」210Please respect copyright.PENANAYO69KtrgLu
用代數解幾何問題!?210Please respect copyright.PENANAUN1cn5Cowy
「短短數行」就能證明餘弦定理210Please respect copyright.PENANAUFp1t8qr5X
210Please respect copyright.PENANATCbtZV6G77
第二課 了解「向量」的超嶄新概念210Please respect copyright.PENANApVzukYvnoW
向量是集結兩種資訊的「特殊容器」210Please respect copyright.PENANA6niSlOiuao
眾所熟知的「純量」210Please respect copyright.PENANAcUZlGsqYH6
數據時代的主角「張量」210Please respect copyright.PENANAOINhqOT974
為什麼我們需要向量?210Please respect copyright.PENANAmdX4VIct7A
210Please respect copyright.PENANAeNDwZMRrMg
第三課 「向量」是用箭頭當作記號唷210Please respect copyright.PENANAknm7CXR9WZ
向量的書寫規則210Please respect copyright.PENANAaoGmzxeup9
張量的畫法210Please respect copyright.PENANAnBH1l3cIfC
試著把向量畫成圖210Please respect copyright.PENANArXmF9doZjs
210Please respect copyright.PENANAm9yoCFEzIS
第四課 「向量」的計算超簡單!210Please respect copyright.PENANAkcKHNx742u
來算算向量的加法吧210Please respect copyright.PENANACof50LLCEW
也來算算向量的減法210Please respect copyright.PENANAseIaOzyra7
試著分解向量吧210Please respect copyright.PENANAuPxruS6QNt
試著挑戰向量的乘法210Please respect copyright.PENANAjfzE5uYERY
210Please respect copyright.PENANA4MdY2K2D7T
第五課 靠「向量」秒殺餘弦定理!210Please respect copyright.PENANAHbnCxszOVY
用向量瞬間導出餘弦定理!210Please respect copyright.PENANApyKL5RIueJ
不論幾次元都能處理的向量210Please respect copyright.PENANABrHcf7jLdv
Column少年來了!(前篇)210Please respect copyright.PENANAn0wiJNsE7l
210Please respect copyright.PENANA8Ll8ZmmyVs
第6天 特別課程②:用「微積分」預測未來!210Please respect copyright.PENANAErW5ifgSFC
第一課 人類的寶物!了解微分積分210Please respect copyright.PENANAK3auHHE6Fj
微分積分與函數的關係210Please respect copyright.PENANAGwPl1woEMp
今天的主題是「三角形面積」210Please respect copyright.PENANAvZsFgITSRq
牛頓VS萊布尼茲的仁義之戰210Please respect copyright.PENANAIiSUfg0YGZ
怎麼區分最合適?210Please respect copyright.PENANAErarBXbbln
用微積分計算三角形的面積!210Please respect copyright.PENANAb7ugngbKQB
來認識微分積分的符號210Please respect copyright.PENANASO95gZ1R1s
Column少年來了!(後篇)210Please respect copyright.PENANAE8TS277vff
210Please respect copyright.PENANALMOIoxHJTB
第二課 用Excel預測未來!210Please respect copyright.PENANAkYx1I04Wd8
現代人,用Excel就能預測未來210Please respect copyright.PENANAw3HGEOzEmL
掌握Excel的使用方法!210Please respect copyright.PENANA8Rbd760pcr
「數學家」、「AI」、「統計學家」的差別210Please respect copyright.PENANANcT5w5lIVY
210Please respect copyright.PENANAzWK6ej8Tex
後記
210Please respect copyright.PENANAZHyFt9popw
210Please respect copyright.PENANAz0j5ZT1RQX
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》
210Please respect copyright.PENANAfqbvZDe3Nf
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。
210Please respect copyright.PENANAUgainKNDsa
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。
210Please respect copyright.PENANA1y5kbHMd3w
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。
210Please respect copyright.PENANALuk1FPgSSk
210Please respect copyright.PENANAt3hq9BwGGB
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。
210Please respect copyright.PENANAqD3B2KnFIF
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
210Please respect copyright.PENANA84tZ3elAP7
210Please respect copyright.PENANA7Q3k6FeXLH
【十二年國教課程綱要:數學領域 (節錄)】
210Please respect copyright.PENANAxjXdMvLzze
210Please respect copyright.PENANAKkXzz6b2Io
210Please respect copyright.PENANAATwNTbVpCa
【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
210Please respect copyright.PENANAl9iIAC4rzJ
210Please respect copyright.PENANAmEtdRRj45p
今天到此為止,我們明天見!!
ns216.73.217.11da2