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
91Please respect copyright.PENANAIRrK6AjQIo
目錄
前言91Please respect copyright.PENANAuuT6CyFZ2h
登場人物介紹91Please respect copyright.PENANA1QXYg3dHTl
91Please respect copyright.PENANATxqMWY1dhl
第一天 數學的樂趣在哪裡?91Please respect copyright.PENANAPb3TbgaiNz
第一課 其實並不可怕的高中數學91Please respect copyright.PENANAjCrzpzB3WC
好想學真正實用的數學!91Please respect copyright.PENANACjuNPgR8gq
高中數學比國中數學還簡單!?91Please respect copyright.PENANAFZPJmVUUYw
91Please respect copyright.PENANAcRJ7GgQt71
第二課 超精簡的創新數學課!91Please respect copyright.PENANAQTLtUN5D40
果斷刪去八成教科書內容!91Please respect copyright.PENANAklLgxO9ZDK
世界首創!「西成流」數學分類法91Please respect copyright.PENANAaPdETv2678
高中數學中最輕鬆的是「代數」91Please respect copyright.PENANAn3boclycH4
高中數學的顛峰是「微分積分」91Please respect copyright.PENANArxPS14Uqxt
超好用的工具「餘弦定理」91Please respect copyright.PENANAIePvF8m1ke
真正的幾何大魔王是「向量」91Please respect copyright.PENANAEejbwmryRo
Column文組無法理解數學的理由91Please respect copyright.PENANARCckOHBPR3
91Please respect copyright.PENANAmazowm72O1
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!91Please respect copyright.PENANAWcJmNNbmA1
第一課 速速學會統計學基礎91Please respect copyright.PENANAvogKLCnvaH
數據處理的3大必備條件91Please respect copyright.PENANAfRoeNSvV53
為什麼增加個數很好用?91Please respect copyright.PENANAa883XcUpj9
「排列組合」是指什麼?91Please respect copyright.PENANAyqXu9xqxIj
看離散程度的「標準差」91Please respect copyright.PENANAGl7DhNmERi
91Please respect copyright.PENANAHgBxGd7GB2
第二課 記住「數列相加」的方法91Please respect copyright.PENANAzUxZN6lm1L
天才高斯少年發現的「倒序相加」91Please respect copyright.PENANAHQ4gAGL479
超好用!任何等差數列都能用91Please respect copyright.PENANAb2SNdU9e8f
嚴禁直接死背公式!91Please respect copyright.PENANAA4IZUZaq6w
導出等差數列和的公式91Please respect copyright.PENANAIfDkHL2IN1
豐臣秀吉被擺了一道!數學變黃金的故事91Please respect copyright.PENANAmUUN5cMXUk
等比數列是「相乘後錯位相減」91Please respect copyright.PENANAelSZMBHm7y
導出等比數列和的公式91Please respect copyright.PENANAZSCcUxViLZ
先知道處理數列和的符號!91Please respect copyright.PENANA8NTLs9C7NC
Column把數學記號當作是念魔咒91Please respect copyright.PENANA09hxfZFQxb
91Please respect copyright.PENANAfteEkkNinq
第三課 記住「排列組合法」91Please respect copyright.PENANAAPX84ugeZz
從賽馬了解「排列」與「組合」91Please respect copyright.PENANAMKgaI0eDxD
Step①了解階乘的計算方法91Please respect copyright.PENANAhPrb2Xodon
Step②了解排列的計算方法91Please respect copyright.PENANAQj9HQOuz0K
Step③了解組合的計算方法91Please respect copyright.PENANAgeTmlr7v2N
了解「排列」與「組合」的式子91Please respect copyright.PENANAndx2yTUwii
「排列」和「組合」的符號是「P」和「C」91Please respect copyright.PENANANGCZFGV5p9
運用「排列」和「組合」排班表91Please respect copyright.PENANAsfx5zY9GTI
91Please respect copyright.PENANASq3PNWhoyq
第四課 搞懂「離散值」和「標準差」91Please respect copyright.PENANAq5eIWKHxax
資訊分析的基礎是找到「數據的規則」91Please respect copyright.PENANAWKJs0fCXvA
兩個步驟找出離散程度91Please respect copyright.PENANAgKfWLD1IvR
平均、分散、標準差的深~度關係91Please respect copyright.PENANAXefAxsvFNY
平均、離散、標準差的記號91Please respect copyright.PENANAF4wr156REx
試著用Excel計算標準差91Please respect copyright.PENANAgmTgtAyW2g
也把「偏差值」的計算公式記起來91Please respect copyright.PENANAa0fNAkhBaS
附註內容①深奧的平均世界91Please respect copyright.PENANANduqTbbdcq
附註內容②平均值、中位數、眾數91Please respect copyright.PENANA7hA5XjgL2X
91Please respect copyright.PENANAfdxZYnGqRv
第三天 超爽快!掌握高中文組數學的「分析」!91Please respect copyright.PENANAE5Mub3qfBY
第一課 豁然開朗!函數的世界91Please respect copyright.PENANAGiszA7Letu
函數與方程式的差別?91Please respect copyright.PENANAWb15YeJP4d
高中數學的4種函數91Please respect copyright.PENANARV4orXEUdz
Column少年西成的理科腦情書91Please respect copyright.PENANAII8mhDUJ2Z
91Please respect copyright.PENANAM5A5XwngSx
第二課 來複習二次函數!91Please respect copyright.PENANAMh2e3QICGr
速速複習!二次方程式91Please respect copyright.PENANAccIFNlq5g6
畫出二次函數的圖形!91Please respect copyright.PENANAW6eg6Qblop
Column 物理學家是名偵探91Please respect copyright.PENANAw4nHzTQ7qb
91Please respect copyright.PENANAmImTrdgx15
第三課 指數函數超好用!91Please respect copyright.PENANAKtJ5yvEnuU
記住指數函數的相關用語91Please respect copyright.PENANAXh1LXPF8AA
基本規則①乘冪相乘時,指數相加91Please respect copyright.PENANA8Ua4KdxcXs
基本規則②乘冪再乘冪時,指數相乘91Please respect copyright.PENANALbl1E6fTG1
基本規則③乘冪相除時,指數相減91Please respect copyright.PENANAt89sNlE35C
指數是負數時會怎樣?91Please respect copyright.PENANAJO6ZEXhOPa
指數是「0」的時候會怎樣?91Please respect copyright.PENANA6gBtOkdmLI
根號可以轉換成指數運算91Please respect copyright.PENANAuaF9b1mffF
統整指數運算的處理方式91Please respect copyright.PENANAdZx7DdCipd
將指數函數做成圖形看看!91Please respect copyright.PENANAYhD4hKpuJo
順便來談談「對數函數」的內容91Please respect copyright.PENANA1ak1Jbb7ZV
天文數字也可以處理的對數函數91Please respect copyright.PENANAprIUVzOzLb
指數函數與音樂的深~度關係91Please respect copyright.PENANAnBOFOXk6LW
用iPhone計算指數函數的方法91Please respect copyright.PENANAUhWq3pBuFX
91Please respect copyright.PENANAOTUnRnsLZN
第四天 秒懂高中數學的「幾何」精髓!91Please respect copyright.PENANAoqMY0GNmLv
第一課 不再霧煞煞的「三角比」91Please respect copyright.PENANAVQL7Z0bErD
以餘弦定理搞懂三角形91Please respect copyright.PENANAmuh9WqIXGI
畫三角形的「西成流」作法91Please respect copyright.PENANAd2rxRm9oUm
sin、cos、tan是指「邊長比」91Please respect copyright.PENANAPCu784Bupv
忘掉tan的存在吧!91Please respect copyright.PENANANRwtbJXsmu
直角三角形的定義中必要的θ91Please respect copyright.PENANAeys5PNFlqO
三角比經常出現的陷阱題91Please respect copyright.PENANAtjl4MUDwtp
91Please respect copyright.PENANApxUgb6h65L
第二課 俐落導出餘弦定理公式91Please respect copyright.PENANA4Rp69v5vX9
用三角比可以做的事91Please respect copyright.PENANAvpEbVtEoBZ
導出餘弦定理①事前準備91Please respect copyright.PENANAc7D2qAJzdK
導出餘弦定理②成立公式、解開91Please respect copyright.PENANA4USNbZX8F1
導出餘弦定理③證明sin2θ+ cos2θ= 191Please respect copyright.PENANA3ni4xsU9p1
導出餘弦定理④完成91Please respect copyright.PENANA1GY3YdORay
餘弦定理與畢氏定理的關係91Please respect copyright.PENANAe6VtoYY2E9
91Please respect copyright.PENANAjRbJrD4Doo
第三課 學習最後的分析工具「三角函數」!91Please respect copyright.PENANAAptShyEEKm
三角函數只是將θ與y的關係圖像化91Please respect copyright.PENANAMp4rhB9Z5o
91Please respect copyright.PENANAstqaMkcFWa
第五天 特別課程①:幾何的最終武器「向量」!91Please respect copyright.PENANA9pfu8BXNpH
第一課 偉大的「向量」91Please respect copyright.PENANAuBGhryrtry
用代數解幾何問題!?91Please respect copyright.PENANABMvFXStbc4
「短短數行」就能證明餘弦定理91Please respect copyright.PENANAevyh0oxEJE
91Please respect copyright.PENANAlONHyTot4O
第二課 了解「向量」的超嶄新概念91Please respect copyright.PENANAZrIVl4ytkM
向量是集結兩種資訊的「特殊容器」91Please respect copyright.PENANADW10M6xe0W
眾所熟知的「純量」91Please respect copyright.PENANAIHPWjzkqEv
數據時代的主角「張量」91Please respect copyright.PENANAuug76iqZgR
為什麼我們需要向量?91Please respect copyright.PENANAeRPN9MiRxr
91Please respect copyright.PENANAF1MlmWz1j6
第三課 「向量」是用箭頭當作記號唷91Please respect copyright.PENANAhH96kC2rYn
向量的書寫規則91Please respect copyright.PENANAQwqsqQDjC4
張量的畫法91Please respect copyright.PENANA63Ipu6257B
試著把向量畫成圖91Please respect copyright.PENANAuMv3pKp2UD
91Please respect copyright.PENANAsYgHlK7eEz
第四課 「向量」的計算超簡單!91Please respect copyright.PENANA4DeNQIrl17
來算算向量的加法吧91Please respect copyright.PENANA4I8NzwRoOw
也來算算向量的減法91Please respect copyright.PENANA0XDbKJwIoF
試著分解向量吧91Please respect copyright.PENANAwAsAyvq9vi
試著挑戰向量的乘法91Please respect copyright.PENANA9SPNaVNZiy
91Please respect copyright.PENANALEi8HPcdZu
第五課 靠「向量」秒殺餘弦定理!91Please respect copyright.PENANAD0b9wkYZVx
用向量瞬間導出餘弦定理!91Please respect copyright.PENANALL8t0MRe1D
不論幾次元都能處理的向量91Please respect copyright.PENANAbYkyIykkqd
Column少年來了!(前篇)91Please respect copyright.PENANA16MVbcGlrr
91Please respect copyright.PENANAAYeLJPPjFf
第6天 特別課程②:用「微積分」預測未來!91Please respect copyright.PENANAGKSFkrPe32
第一課 人類的寶物!了解微分積分91Please respect copyright.PENANAy4lCu8GtYl
微分積分與函數的關係91Please respect copyright.PENANAhmqA84501f
今天的主題是「三角形面積」91Please respect copyright.PENANAXDM1cDAMOC
牛頓VS萊布尼茲的仁義之戰91Please respect copyright.PENANAXZTCshqYOg
怎麼區分最合適?91Please respect copyright.PENANAFqmiujQRGl
用微積分計算三角形的面積!91Please respect copyright.PENANAbyQccEPqsI
來認識微分積分的符號91Please respect copyright.PENANAFDB6EmWDGM
Column少年來了!(後篇)91Please respect copyright.PENANAF3Oiz8iDjy
91Please respect copyright.PENANAllWuXXm8iK
第二課 用Excel預測未來!91Please respect copyright.PENANA4x4cy6cyYG
現代人,用Excel就能預測未來91Please respect copyright.PENANA1u2BpKDNxx
掌握Excel的使用方法!91Please respect copyright.PENANAjE5PGoEJYK
「數學家」、「AI」、「統計學家」的差別91Please respect copyright.PENANApMMm6XwDCd
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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》
91Please respect copyright.PENANA1ML6CI98Ox
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。
91Please respect copyright.PENANAZ5NGU6hwE8
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。
91Please respect copyright.PENANAjyYoUJz5FM
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。
91Please respect copyright.PENANAYiOJnPID7a
91Please respect copyright.PENANA0vCuJXffyh
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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91Please respect copyright.PENANArrP71cTY05
【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/165070491Please respect copyright.PENANAfrSY1UYTTM