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
98Please respect copyright.PENANA09emtvFKUm
目錄
前言98Please respect copyright.PENANAoEYW5ylbBh
登場人物介紹98Please respect copyright.PENANAoxJA7tGrx1
98Please respect copyright.PENANAd6BSaxuoED
第一天 數學的樂趣在哪裡?98Please respect copyright.PENANAFzD90JuB2a
第一課 其實並不可怕的高中數學98Please respect copyright.PENANAUsULfxtczK
好想學真正實用的數學!98Please respect copyright.PENANAzPZygmLgl3
高中數學比國中數學還簡單!?98Please respect copyright.PENANASVMZItVLp1
98Please respect copyright.PENANAcyxCG2OKDH
第二課 超精簡的創新數學課!98Please respect copyright.PENANARmWlIwLQEo
果斷刪去八成教科書內容!98Please respect copyright.PENANArHb9d8AFMm
世界首創!「西成流」數學分類法98Please respect copyright.PENANAciZjW7WVOU
高中數學中最輕鬆的是「代數」98Please respect copyright.PENANArYFVk4rkSj
高中數學的顛峰是「微分積分」98Please respect copyright.PENANAmfKMi2xwnT
超好用的工具「餘弦定理」98Please respect copyright.PENANARLQld81VE9
真正的幾何大魔王是「向量」98Please respect copyright.PENANAuafiw4N1Yl
Column文組無法理解數學的理由98Please respect copyright.PENANAm04Yu7xJDa
98Please respect copyright.PENANAImBEulCFzc
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!98Please respect copyright.PENANAejBNDDRmtf
第一課 速速學會統計學基礎98Please respect copyright.PENANAQRFPE7UdVZ
數據處理的3大必備條件98Please respect copyright.PENANAR3l0kw34mN
為什麼增加個數很好用?98Please respect copyright.PENANAu0BdXneY6Z
「排列組合」是指什麼?98Please respect copyright.PENANAKR62svTYN5
看離散程度的「標準差」98Please respect copyright.PENANAxu84DMwP7j
98Please respect copyright.PENANALgeYxzvQiu
第二課 記住「數列相加」的方法98Please respect copyright.PENANAcjQWc9JK5w
天才高斯少年發現的「倒序相加」98Please respect copyright.PENANA93CKI0iehP
超好用!任何等差數列都能用98Please respect copyright.PENANAZ8sOmSNJfB
嚴禁直接死背公式!98Please respect copyright.PENANAq8YW3k6W3H
導出等差數列和的公式98Please respect copyright.PENANAexpSUEMfk0
豐臣秀吉被擺了一道!數學變黃金的故事98Please respect copyright.PENANAwbWcLWlnxb
等比數列是「相乘後錯位相減」98Please respect copyright.PENANAgTUudFpPoL
導出等比數列和的公式98Please respect copyright.PENANALqGhD0Qs6t
先知道處理數列和的符號!98Please respect copyright.PENANAHQQJLTuQEM
Column把數學記號當作是念魔咒98Please respect copyright.PENANAoXtql5zFZt
98Please respect copyright.PENANAd3aXkLA2RI
第三課 記住「排列組合法」98Please respect copyright.PENANA299nPKU6QX
從賽馬了解「排列」與「組合」98Please respect copyright.PENANAePYSoKzLA5
Step①了解階乘的計算方法98Please respect copyright.PENANA8Bs8AwLyt8
Step②了解排列的計算方法98Please respect copyright.PENANAFgzfLhufuk
Step③了解組合的計算方法98Please respect copyright.PENANAtyksnRegla
了解「排列」與「組合」的式子98Please respect copyright.PENANA9aYvpZ63bs
「排列」和「組合」的符號是「P」和「C」98Please respect copyright.PENANAv5rrW14Wu9
運用「排列」和「組合」排班表98Please respect copyright.PENANAYb5kHPFPer
98Please respect copyright.PENANAOkx9qLzkRu
第四課 搞懂「離散值」和「標準差」98Please respect copyright.PENANAGB5RxSptS7
資訊分析的基礎是找到「數據的規則」98Please respect copyright.PENANA0kNEI0TcxS
兩個步驟找出離散程度98Please respect copyright.PENANAEP738J8ixy
平均、分散、標準差的深~度關係98Please respect copyright.PENANAHHgcyFGGWu
平均、離散、標準差的記號98Please respect copyright.PENANA3aZFzY7cV2
試著用Excel計算標準差98Please respect copyright.PENANA7hXpopiB9i
也把「偏差值」的計算公式記起來98Please respect copyright.PENANAur3hatmlI4
附註內容①深奧的平均世界98Please respect copyright.PENANAMTNmbx1mgQ
附註內容②平均值、中位數、眾數98Please respect copyright.PENANAQ8b0zNxghO
98Please respect copyright.PENANAs6twciwJRL
第三天 超爽快!掌握高中文組數學的「分析」!98Please respect copyright.PENANALuIK9nmst6
第一課 豁然開朗!函數的世界98Please respect copyright.PENANAgZZcb8Agoy
函數與方程式的差別?98Please respect copyright.PENANAeJlPu2vEt1
高中數學的4種函數98Please respect copyright.PENANAbxTwHgzWwD
Column少年西成的理科腦情書98Please respect copyright.PENANANqC88oVSc4
98Please respect copyright.PENANAei0Q37mJoC
第二課 來複習二次函數!98Please respect copyright.PENANA4q1pJvBwtx
速速複習!二次方程式98Please respect copyright.PENANALeAaRLBSQM
畫出二次函數的圖形!98Please respect copyright.PENANABfQDZEIPJ0
Column 物理學家是名偵探98Please respect copyright.PENANAPKGH4ltCXF
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第三課 指數函數超好用!98Please respect copyright.PENANAH94iEH9ETF
記住指數函數的相關用語98Please respect copyright.PENANAGPhvkNWcOs
基本規則①乘冪相乘時,指數相加98Please respect copyright.PENANAsIVSb0GkuY
基本規則②乘冪再乘冪時,指數相乘98Please respect copyright.PENANAlCeevmVlpA
基本規則③乘冪相除時,指數相減98Please respect copyright.PENANAUOtDH0QWif
指數是負數時會怎樣?98Please respect copyright.PENANAuIs7TX1FL9
指數是「0」的時候會怎樣?98Please respect copyright.PENANAH99wkfhYoP
根號可以轉換成指數運算98Please respect copyright.PENANA4g3XcOg0AV
統整指數運算的處理方式98Please respect copyright.PENANAOY5C8DqBBX
將指數函數做成圖形看看!98Please respect copyright.PENANAfF8y7nUqTK
順便來談談「對數函數」的內容98Please respect copyright.PENANAVGkysMsuSR
天文數字也可以處理的對數函數98Please respect copyright.PENANA4MkSciSOx3
指數函數與音樂的深~度關係98Please respect copyright.PENANAHpyokA0yWU
用iPhone計算指數函數的方法98Please respect copyright.PENANARwVgJ3RC3E
98Please respect copyright.PENANATNL0zKRZRk
第四天 秒懂高中數學的「幾何」精髓!98Please respect copyright.PENANA8x0UZbaCtp
第一課 不再霧煞煞的「三角比」98Please respect copyright.PENANAefj4ls73Gs
以餘弦定理搞懂三角形98Please respect copyright.PENANA0vtZUlighE
畫三角形的「西成流」作法98Please respect copyright.PENANAzXjv5AUQoh
sin、cos、tan是指「邊長比」98Please respect copyright.PENANA507MG9RE3T
忘掉tan的存在吧!98Please respect copyright.PENANApED29oMkc4
直角三角形的定義中必要的θ98Please respect copyright.PENANAMXo0H6WsH3
三角比經常出現的陷阱題98Please respect copyright.PENANAaqytXrWlUl
98Please respect copyright.PENANAU35yVMPvMC
第二課 俐落導出餘弦定理公式98Please respect copyright.PENANAT2spZDPLJd
用三角比可以做的事98Please respect copyright.PENANAT3FjIjNAbb
導出餘弦定理①事前準備98Please respect copyright.PENANAXar3MsPBwC
導出餘弦定理②成立公式、解開98Please respect copyright.PENANAcRZaZ0JSNH
導出餘弦定理③證明sin2θ+ cos2θ= 198Please respect copyright.PENANAAcxMG5uZCN
導出餘弦定理④完成98Please respect copyright.PENANAqy8GkulEl3
餘弦定理與畢氏定理的關係98Please respect copyright.PENANAKvp6oxO71Q
98Please respect copyright.PENANAZ2SbG8l0bC
第三課 學習最後的分析工具「三角函數」!98Please respect copyright.PENANAzf7pFgKqd0
三角函數只是將θ與y的關係圖像化98Please respect copyright.PENANAwodO1PC0Lo
98Please respect copyright.PENANAmrCMwu8XzD
第五天 特別課程①:幾何的最終武器「向量」!98Please respect copyright.PENANA1R5kv714N5
第一課 偉大的「向量」98Please respect copyright.PENANASZqJZMeYaI
用代數解幾何問題!?98Please respect copyright.PENANAyvLQO8wyLr
「短短數行」就能證明餘弦定理98Please respect copyright.PENANAlRZNO1mqKD
98Please respect copyright.PENANAWMeXMmRdsG
第二課 了解「向量」的超嶄新概念98Please respect copyright.PENANA860H7rWtyh
向量是集結兩種資訊的「特殊容器」98Please respect copyright.PENANANQ2rPEqb9e
眾所熟知的「純量」98Please respect copyright.PENANAH4MSkVpuvw
數據時代的主角「張量」98Please respect copyright.PENANAEMbwdkyFI2
為什麼我們需要向量?98Please respect copyright.PENANAMRfLp15F6K
98Please respect copyright.PENANAwNl3UiBTJq
第三課 「向量」是用箭頭當作記號唷98Please respect copyright.PENANAtyI0b0Xm5a
向量的書寫規則98Please respect copyright.PENANACMzTOhGZ68
張量的畫法98Please respect copyright.PENANAlBHJUQPcHa
試著把向量畫成圖98Please respect copyright.PENANAGpEb4T2YM3
98Please respect copyright.PENANA2xCr7tyLcB
第四課 「向量」的計算超簡單!98Please respect copyright.PENANAehX7bhdhOy
來算算向量的加法吧98Please respect copyright.PENANA8r0yf0Q3aE
也來算算向量的減法98Please respect copyright.PENANAYMxUVwwvkl
試著分解向量吧98Please respect copyright.PENANA5XqhjQOFhO
試著挑戰向量的乘法98Please respect copyright.PENANAjNcSPGKeVD
98Please respect copyright.PENANAcHmzuRX3DB
第五課 靠「向量」秒殺餘弦定理!98Please respect copyright.PENANANRKHRR7irA
用向量瞬間導出餘弦定理!98Please respect copyright.PENANAki6hqLRrgf
不論幾次元都能處理的向量98Please respect copyright.PENANAkpMA1lJcT7
Column少年來了!(前篇)98Please respect copyright.PENANAu051Y3T1Kf
98Please respect copyright.PENANACJnyzpkxQ4
第6天 特別課程②:用「微積分」預測未來!98Please respect copyright.PENANA7PdgNwDtYa
第一課 人類的寶物!了解微分積分98Please respect copyright.PENANANCp86KC8RE
微分積分與函數的關係98Please respect copyright.PENANAqdwmR8FAuA
今天的主題是「三角形面積」98Please respect copyright.PENANA4eeaXGIIMC
牛頓VS萊布尼茲的仁義之戰98Please respect copyright.PENANAkUfDVaqVSg
怎麼區分最合適?98Please respect copyright.PENANAUcHbdA4aMV
用微積分計算三角形的面積!98Please respect copyright.PENANA0GO7HhRI5Y
來認識微分積分的符號98Please respect copyright.PENANAW86JNAsFMe
Column少年來了!(後篇)98Please respect copyright.PENANA6cPxBxpLyG
98Please respect copyright.PENANAZDIa4p5TZX
第二課 用Excel預測未來!98Please respect copyright.PENANAoekfahOh5d
現代人,用Excel就能預測未來98Please respect copyright.PENANADLTCQG5wiS
掌握Excel的使用方法!98Please respect copyright.PENANAzEKmQughuf
「數學家」、「AI」、「統計學家」的差別98Please respect copyright.PENANAqBjJ9OSwIS
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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》
98Please respect copyright.PENANAFzH0TDERWV
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。
98Please respect copyright.PENANAls0UGhUYiS
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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98Please respect copyright.PENANA9nTKRdgS2k
【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!!
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【創挑出處】
https://www.penana.com/article/165070498Please respect copyright.PENANA4NAUicANTu