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
96Please respect copyright.PENANAYqxfLPK2My
目錄
前言96Please respect copyright.PENANAgWibfGQ5yU
登場人物介紹96Please respect copyright.PENANAo70gWKZQmK
96Please respect copyright.PENANAR94alJ7q2J
第一天 數學的樂趣在哪裡?96Please respect copyright.PENANA4uIm4Kpy6T
第一課 其實並不可怕的高中數學96Please respect copyright.PENANAHvjOaIJKBD
好想學真正實用的數學!96Please respect copyright.PENANAckOYttTOWu
高中數學比國中數學還簡單!?96Please respect copyright.PENANA3dJoKDmS4s
96Please respect copyright.PENANAZH7RwbmXdD
第二課 超精簡的創新數學課!96Please respect copyright.PENANAUZwrW72wCW
果斷刪去八成教科書內容!96Please respect copyright.PENANASOmaf2lMpl
世界首創!「西成流」數學分類法96Please respect copyright.PENANAgXC9Z3P88k
高中數學中最輕鬆的是「代數」96Please respect copyright.PENANAvnq7wzyD4I
高中數學的顛峰是「微分積分」96Please respect copyright.PENANAbfr9Ysppnb
超好用的工具「餘弦定理」96Please respect copyright.PENANAVnFnQ781X2
真正的幾何大魔王是「向量」96Please respect copyright.PENANA2oBUdj4RE9
Column文組無法理解數學的理由96Please respect copyright.PENANAxYqEV6iHWr
96Please respect copyright.PENANAlJIVA2YkD3
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!96Please respect copyright.PENANAGIhEFh6qmt
第一課 速速學會統計學基礎96Please respect copyright.PENANAUIY7Yf83T5
數據處理的3大必備條件96Please respect copyright.PENANAByQNqtkjOG
為什麼增加個數很好用?96Please respect copyright.PENANAPrdr1yc45m
「排列組合」是指什麼?96Please respect copyright.PENANAfTc3uDPqp3
看離散程度的「標準差」96Please respect copyright.PENANAIPk0ZRUdMh
96Please respect copyright.PENANAtTHmJC9OLS
第二課 記住「數列相加」的方法96Please respect copyright.PENANAdLkzWgZ7rm
天才高斯少年發現的「倒序相加」96Please respect copyright.PENANAQv92mEoeE0
超好用!任何等差數列都能用96Please respect copyright.PENANA21PflHJ8By
嚴禁直接死背公式!96Please respect copyright.PENANAyDPkcoxPSu
導出等差數列和的公式96Please respect copyright.PENANAeFiWtSN0kD
豐臣秀吉被擺了一道!數學變黃金的故事96Please respect copyright.PENANAV2UxqvLaKI
等比數列是「相乘後錯位相減」96Please respect copyright.PENANAQKuiL0PS9I
導出等比數列和的公式96Please respect copyright.PENANAXsulDMhWFH
先知道處理數列和的符號!96Please respect copyright.PENANACgewvqiPRQ
Column把數學記號當作是念魔咒96Please respect copyright.PENANAWiO8SwlTZ7
96Please respect copyright.PENANAZiwgz6nvKM
第三課 記住「排列組合法」96Please respect copyright.PENANAKEVbSe76Rk
從賽馬了解「排列」與「組合」96Please respect copyright.PENANAiyBsSPQ4ee
Step①了解階乘的計算方法96Please respect copyright.PENANAMvlF2LmVB9
Step②了解排列的計算方法96Please respect copyright.PENANAPuPFBdIo80
Step③了解組合的計算方法96Please respect copyright.PENANAjl3MeVTCM9
了解「排列」與「組合」的式子96Please respect copyright.PENANAPuCwsZg68b
「排列」和「組合」的符號是「P」和「C」96Please respect copyright.PENANA6XyaLg5A02
運用「排列」和「組合」排班表96Please respect copyright.PENANAwUWAkbYIiU
96Please respect copyright.PENANAzWyZMQB5yw
第四課 搞懂「離散值」和「標準差」96Please respect copyright.PENANA0sdAufQ1hr
資訊分析的基礎是找到「數據的規則」96Please respect copyright.PENANAAh8prqQzny
兩個步驟找出離散程度96Please respect copyright.PENANAhRyxEF0g7b
平均、分散、標準差的深~度關係96Please respect copyright.PENANAS1ZH1W1Zkn
平均、離散、標準差的記號96Please respect copyright.PENANAIonUuUg7I6
試著用Excel計算標準差96Please respect copyright.PENANA4Mwggy3vZB
也把「偏差值」的計算公式記起來96Please respect copyright.PENANAu5IBBKnAuD
附註內容①深奧的平均世界96Please respect copyright.PENANAnmPP22xWLb
附註內容②平均值、中位數、眾數96Please respect copyright.PENANAg33SwARJrh
96Please respect copyright.PENANAaT79kNvUWu
第三天 超爽快!掌握高中文組數學的「分析」!96Please respect copyright.PENANAafkOopyFsb
第一課 豁然開朗!函數的世界96Please respect copyright.PENANAsxYgnFtlK0
函數與方程式的差別?96Please respect copyright.PENANAxmLNMVMqTo
高中數學的4種函數96Please respect copyright.PENANAgCKjnj5nMQ
Column少年西成的理科腦情書96Please respect copyright.PENANAoSCFYRvrb0
96Please respect copyright.PENANA8uMYbZEc8m
第二課 來複習二次函數!96Please respect copyright.PENANAUxtvU3F0Wg
速速複習!二次方程式96Please respect copyright.PENANAVCBVJEOmp1
畫出二次函數的圖形!96Please respect copyright.PENANACGT6rgDm7q
Column 物理學家是名偵探96Please respect copyright.PENANACREwTOX3pN
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第三課 指數函數超好用!96Please respect copyright.PENANAi9lBik5gbK
記住指數函數的相關用語96Please respect copyright.PENANAKqqO8nj5i3
基本規則①乘冪相乘時,指數相加96Please respect copyright.PENANAXFM9uABpUV
基本規則②乘冪再乘冪時,指數相乘96Please respect copyright.PENANAnLZFSg6eu3
基本規則③乘冪相除時,指數相減96Please respect copyright.PENANAXwMF5j2MUd
指數是負數時會怎樣?96Please respect copyright.PENANALOtc42xQLT
指數是「0」的時候會怎樣?96Please respect copyright.PENANA9oM8Cwp4FM
根號可以轉換成指數運算96Please respect copyright.PENANAKjeljpQH9H
統整指數運算的處理方式96Please respect copyright.PENANAJaptnE3Shl
將指數函數做成圖形看看!96Please respect copyright.PENANASzjp1UpEQE
順便來談談「對數函數」的內容96Please respect copyright.PENANAXVd7iaX9Dc
天文數字也可以處理的對數函數96Please respect copyright.PENANAjFgquPq7AE
指數函數與音樂的深~度關係96Please respect copyright.PENANAPNmfGiXjDD
用iPhone計算指數函數的方法96Please respect copyright.PENANA9XrAd2QYHq
96Please respect copyright.PENANApvNjrhqxmA
第四天 秒懂高中數學的「幾何」精髓!96Please respect copyright.PENANAVZ9hSNxnbs
第一課 不再霧煞煞的「三角比」96Please respect copyright.PENANA6x4jSpNH0b
以餘弦定理搞懂三角形96Please respect copyright.PENANAIaSc740RvG
畫三角形的「西成流」作法96Please respect copyright.PENANAJb4Fvx1JkX
sin、cos、tan是指「邊長比」96Please respect copyright.PENANAfhSTbYRZzq
忘掉tan的存在吧!96Please respect copyright.PENANAGNQJROmeua
直角三角形的定義中必要的θ96Please respect copyright.PENANAALFHTTOSh8
三角比經常出現的陷阱題96Please respect copyright.PENANAs2LhUBplg8
96Please respect copyright.PENANA4EsMjuA9Gx
第二課 俐落導出餘弦定理公式96Please respect copyright.PENANAa3rdxJyFYl
用三角比可以做的事96Please respect copyright.PENANAa2PKikVlYL
導出餘弦定理①事前準備96Please respect copyright.PENANAf5kfPf64uG
導出餘弦定理②成立公式、解開96Please respect copyright.PENANAMn5RYNVVvR
導出餘弦定理③證明sin2θ+ cos2θ= 196Please respect copyright.PENANAFba1mAhmRy
導出餘弦定理④完成96Please respect copyright.PENANAgdWCvDZ2jX
餘弦定理與畢氏定理的關係96Please respect copyright.PENANAFSLrHvOvM0
96Please respect copyright.PENANAsXUbsNPHBU
第三課 學習最後的分析工具「三角函數」!96Please respect copyright.PENANAchNXjGjzf6
三角函數只是將θ與y的關係圖像化96Please respect copyright.PENANAKqdlO5aZau
96Please respect copyright.PENANAXV9kzzHlhA
第五天 特別課程①:幾何的最終武器「向量」!96Please respect copyright.PENANAEYbWjhst8r
第一課 偉大的「向量」96Please respect copyright.PENANANlnLkHdynW
用代數解幾何問題!?96Please respect copyright.PENANAP5l7HVrhGO
「短短數行」就能證明餘弦定理96Please respect copyright.PENANA2yW9pAFmuf
96Please respect copyright.PENANAkE3Kv7ObvF
第二課 了解「向量」的超嶄新概念96Please respect copyright.PENANAO6YEQ7gLeR
向量是集結兩種資訊的「特殊容器」96Please respect copyright.PENANA4TThpjgq6y
眾所熟知的「純量」96Please respect copyright.PENANA27TA5suNs1
數據時代的主角「張量」96Please respect copyright.PENANAHclKrE7OMJ
為什麼我們需要向量?96Please respect copyright.PENANAJn3NYtdjOU
96Please respect copyright.PENANA2xtrkfHONU
第三課 「向量」是用箭頭當作記號唷96Please respect copyright.PENANAp5uCWOo5pi
向量的書寫規則96Please respect copyright.PENANAvtZ25Zjwj3
張量的畫法96Please respect copyright.PENANAcaTJ9aS5Nl
試著把向量畫成圖96Please respect copyright.PENANAkIziNJSc5N
96Please respect copyright.PENANASKkzYcAjMM
第四課 「向量」的計算超簡單!96Please respect copyright.PENANAjATutKWRVJ
來算算向量的加法吧96Please respect copyright.PENANA9W5QIISIsd
也來算算向量的減法96Please respect copyright.PENANAtcgfKydlTq
試著分解向量吧96Please respect copyright.PENANAlm5QDl6H9c
試著挑戰向量的乘法96Please respect copyright.PENANAxc4myFvAJE
96Please respect copyright.PENANAIZ8wePLWYU
第五課 靠「向量」秒殺餘弦定理!96Please respect copyright.PENANAiKR4qImC3N
用向量瞬間導出餘弦定理!96Please respect copyright.PENANAZGgeOt4Fcg
不論幾次元都能處理的向量96Please respect copyright.PENANAMcDG0WoEXQ
Column少年來了!(前篇)96Please respect copyright.PENANAVYYtgjEG2h
96Please respect copyright.PENANAxul9cguXB7
第6天 特別課程②:用「微積分」預測未來!96Please respect copyright.PENANAQs16p1y55H
第一課 人類的寶物!了解微分積分96Please respect copyright.PENANAr1jwqrxVE0
微分積分與函數的關係96Please respect copyright.PENANAd7aUCaufrb
今天的主題是「三角形面積」96Please respect copyright.PENANAfQqDUZKGG3
牛頓VS萊布尼茲的仁義之戰96Please respect copyright.PENANAbE3dyxQ39F
怎麼區分最合適?96Please respect copyright.PENANAkJpGkf6zJT
用微積分計算三角形的面積!96Please respect copyright.PENANAuvL9jSKOWK
來認識微分積分的符號96Please respect copyright.PENANAryPNoOjUKL
Column少年來了!(後篇)96Please respect copyright.PENANAedW7wm1AXl
96Please respect copyright.PENANAQIoZvfzjDK
第二課 用Excel預測未來!96Please respect copyright.PENANAtZFOQEKYMW
現代人,用Excel就能預測未來96Please respect copyright.PENANAFMNsusYBb7
掌握Excel的使用方法!96Please respect copyright.PENANAtBIxq9u15m
「數學家」、「AI」、「統計學家」的差別96Please respect copyright.PENANAiKdgnOFvyL
96Please respect copyright.PENANA1Xx0aWcUIR
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》
96Please respect copyright.PENANAjpvvA3uJs0
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。
96Please respect copyright.PENANADIqLISRaqn
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。
96Please respect copyright.PENANAEto4rXtFJz
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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96Please respect copyright.PENANAEwxi0JNC1I
【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/165070496Please respect copyright.PENANAqFAUmAwiKQ