【20 天 (結果變5天) 來 Skim + Scan (03):一頁書心得 (數商)】
https://www.penana.com/article/1649263
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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
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目錄
前言176Please respect copyright.PENANASpj2DjT7RP
登場人物介紹176Please respect copyright.PENANAgwEM1tuxYU
176Please respect copyright.PENANAySbn0qIYV6
第一天 數學的樂趣在哪裡?176Please respect copyright.PENANA4xrZUGMSz5
第一課 其實並不可怕的高中數學176Please respect copyright.PENANAcVpD5zdMF6
好想學真正實用的數學!176Please respect copyright.PENANA2J7vIiKZzd
高中數學比國中數學還簡單!?176Please respect copyright.PENANAnDf9ETFvgq
176Please respect copyright.PENANACuJeuzObF1
第二課 超精簡的創新數學課!176Please respect copyright.PENANASQ8TgNI2RP
果斷刪去八成教科書內容!176Please respect copyright.PENANAntpDfrH8p1
世界首創!「西成流」數學分類法176Please respect copyright.PENANAIpmiRuiwW9
高中數學中最輕鬆的是「代數」176Please respect copyright.PENANAMu32fPQdHf
高中數學的顛峰是「微分積分」176Please respect copyright.PENANA1Malm6C3W0
超好用的工具「餘弦定理」176Please respect copyright.PENANAJMIrp8lqy6
真正的幾何大魔王是「向量」176Please respect copyright.PENANAOJ0mYMfCXg
Column文組無法理解數學的理由176Please respect copyright.PENANAV2q8dQOgzl
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第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!176Please respect copyright.PENANANszQ0WV5Ay
第一課 速速學會統計學基礎176Please respect copyright.PENANAowGi5WwAYY
數據處理的3大必備條件176Please respect copyright.PENANAANmymrav3Z
為什麼增加個數很好用?176Please respect copyright.PENANARh1qlkGhAH
「排列組合」是指什麼?176Please respect copyright.PENANANCS5U3Uvfd
看離散程度的「標準差」176Please respect copyright.PENANAqofcSNDrpg
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第二課 記住「數列相加」的方法176Please respect copyright.PENANAgx5OSbiSsK
天才高斯少年發現的「倒序相加」176Please respect copyright.PENANAinKGeTNNM7
超好用!任何等差數列都能用176Please respect copyright.PENANAimWQ3vKWNO
嚴禁直接死背公式!176Please respect copyright.PENANAfDPgC6d4bU
導出等差數列和的公式176Please respect copyright.PENANAL8MBoIbi8e
豐臣秀吉被擺了一道!數學變黃金的故事176Please respect copyright.PENANAzDf4SpN8TY
等比數列是「相乘後錯位相減」176Please respect copyright.PENANAGIaBI07Wot
導出等比數列和的公式176Please respect copyright.PENANAPHBdSld6T4
先知道處理數列和的符號!176Please respect copyright.PENANATL5U4di5Lk
Column把數學記號當作是念魔咒176Please respect copyright.PENANAJWRfDc36JM
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第三課 記住「排列組合法」176Please respect copyright.PENANAJJnvBb9xq9
從賽馬了解「排列」與「組合」176Please respect copyright.PENANAC6n7mSGMXE
Step①了解階乘的計算方法176Please respect copyright.PENANAoA5IBlOtwT
Step②了解排列的計算方法176Please respect copyright.PENANA3ToDwU3ttB
Step③了解組合的計算方法176Please respect copyright.PENANAyyGlJx1NYO
了解「排列」與「組合」的式子176Please respect copyright.PENANAeol5rzEC4w
「排列」和「組合」的符號是「P」和「C」176Please respect copyright.PENANAa0dwUyrl4H
運用「排列」和「組合」排班表176Please respect copyright.PENANAT8OHgIYzVj
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第四課 搞懂「離散值」和「標準差」176Please respect copyright.PENANA6ywtro6NIw
資訊分析的基礎是找到「數據的規則」176Please respect copyright.PENANA9b3rT5cvLU
兩個步驟找出離散程度176Please respect copyright.PENANAEXvQu1ORON
平均、分散、標準差的深~度關係176Please respect copyright.PENANAomOkgSuQnl
平均、離散、標準差的記號176Please respect copyright.PENANAW9scAiQEO5
試著用Excel計算標準差176Please respect copyright.PENANAF7x1mypETP
也把「偏差值」的計算公式記起來176Please respect copyright.PENANAU44PmjOaip
附註內容①深奧的平均世界176Please respect copyright.PENANAug8K5HycoE
附註內容②平均值、中位數、眾數176Please respect copyright.PENANAtwcyw9lgh2
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第三天 超爽快!掌握高中文組數學的「分析」!176Please respect copyright.PENANAZDHHxObBGe
第一課 豁然開朗!函數的世界176Please respect copyright.PENANAVEfNDTmBaS
函數與方程式的差別?176Please respect copyright.PENANAR0aTMvtTYL
高中數學的4種函數176Please respect copyright.PENANAMZTEMZkDOW
Column少年西成的理科腦情書176Please respect copyright.PENANAxVNVvmeXZB
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第二課 來複習二次函數!176Please respect copyright.PENANA5Lh2GvULLo
速速複習!二次方程式176Please respect copyright.PENANA65OXyNEGhM
畫出二次函數的圖形!176Please respect copyright.PENANA7NJHoO6PEp
Column 物理學家是名偵探176Please respect copyright.PENANAVGEKxYdkt2
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第三課 指數函數超好用!176Please respect copyright.PENANA2keTtVcvvS
記住指數函數的相關用語176Please respect copyright.PENANADMrZMwqb66
基本規則①乘冪相乘時,指數相加176Please respect copyright.PENANA8ROMPoIiJa
基本規則②乘冪再乘冪時,指數相乘176Please respect copyright.PENANAr0uH2qTuxi
基本規則③乘冪相除時,指數相減176Please respect copyright.PENANApdIGjSQyL0
指數是負數時會怎樣?176Please respect copyright.PENANAGm5ZIfwa46
指數是「0」的時候會怎樣?176Please respect copyright.PENANAy2PURQV74j
根號可以轉換成指數運算176Please respect copyright.PENANAuzDPPV1Wwy
統整指數運算的處理方式176Please respect copyright.PENANASq1O9Oktk1
將指數函數做成圖形看看!176Please respect copyright.PENANADKPDnya9qi
順便來談談「對數函數」的內容176Please respect copyright.PENANAviD584oIqf
天文數字也可以處理的對數函數176Please respect copyright.PENANAhSDyJsichx
指數函數與音樂的深~度關係176Please respect copyright.PENANAUfDAdIFEqX
用iPhone計算指數函數的方法176Please respect copyright.PENANAKxnQbtR5eT
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第四天 秒懂高中數學的「幾何」精髓!176Please respect copyright.PENANAOscfY7hHCp
第一課 不再霧煞煞的「三角比」176Please respect copyright.PENANAiFDMiEYik2
以餘弦定理搞懂三角形176Please respect copyright.PENANApVCiv4utPM
畫三角形的「西成流」作法176Please respect copyright.PENANA9X5UuwihsD
sin、cos、tan是指「邊長比」176Please respect copyright.PENANAZUSujqWzIP
忘掉tan的存在吧!176Please respect copyright.PENANAifDCyQCywo
直角三角形的定義中必要的θ176Please respect copyright.PENANAzfInZQcSfu
三角比經常出現的陷阱題176Please respect copyright.PENANAejsun9R7VP
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第二課 俐落導出餘弦定理公式176Please respect copyright.PENANAqpOPrHvMuH
用三角比可以做的事176Please respect copyright.PENANAQjIlyqv6y3
導出餘弦定理①事前準備176Please respect copyright.PENANAFdgwRAB7ln
導出餘弦定理②成立公式、解開176Please respect copyright.PENANAm7QKiwJiGZ
導出餘弦定理③證明sin2θ+ cos2θ= 1176Please respect copyright.PENANAqxOyXAvqXj
導出餘弦定理④完成176Please respect copyright.PENANAIB3kvH05tk
餘弦定理與畢氏定理的關係176Please respect copyright.PENANAiPMlCpedZE
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第三課 學習最後的分析工具「三角函數」!176Please respect copyright.PENANAu5MAFUv3by
三角函數只是將θ與y的關係圖像化176Please respect copyright.PENANAKaQn19Aol1
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第五天 特別課程①:幾何的最終武器「向量」!176Please respect copyright.PENANAZWOroPkAci
第一課 偉大的「向量」176Please respect copyright.PENANAeIl6jvv5t6
用代數解幾何問題!?176Please respect copyright.PENANAs9TfnYO2O5
「短短數行」就能證明餘弦定理176Please respect copyright.PENANAcYGu43y1pn
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第二課 了解「向量」的超嶄新概念176Please respect copyright.PENANAFThj21SwQn
向量是集結兩種資訊的「特殊容器」176Please respect copyright.PENANAA1psaobPUQ
眾所熟知的「純量」176Please respect copyright.PENANAbtdDjECOYB
數據時代的主角「張量」176Please respect copyright.PENANAIopJtdhc8Q
為什麼我們需要向量?176Please respect copyright.PENANALIas5rmWHR
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第三課 「向量」是用箭頭當作記號唷176Please respect copyright.PENANADEH1cqqp8Y
向量的書寫規則176Please respect copyright.PENANAkYpYQgCzGF
張量的畫法176Please respect copyright.PENANArVaYPPhZYN
試著把向量畫成圖176Please respect copyright.PENANA3tULc0MQVW
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第四課 「向量」的計算超簡單!176Please respect copyright.PENANAjA6JaiFxq3
來算算向量的加法吧176Please respect copyright.PENANAq67aKbdiSZ
也來算算向量的減法176Please respect copyright.PENANAODNl633kwH
試著分解向量吧176Please respect copyright.PENANAjc1DOBaWS3
試著挑戰向量的乘法176Please respect copyright.PENANAuk6S1ldyzX
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第五課 靠「向量」秒殺餘弦定理!176Please respect copyright.PENANAateUsi6eIQ
用向量瞬間導出餘弦定理!176Please respect copyright.PENANARr83JnLpm8
不論幾次元都能處理的向量176Please respect copyright.PENANADDSslbW6Ga
Column少年來了!(前篇)176Please respect copyright.PENANAOJuDtcxV4P
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第6天 特別課程②:用「微積分」預測未來!176Please respect copyright.PENANA15d22rg4er
第一課 人類的寶物!了解微分積分176Please respect copyright.PENANAQLyUFYPuZY
微分積分與函數的關係176Please respect copyright.PENANA98xzZemiTZ
今天的主題是「三角形面積」176Please respect copyright.PENANAfrRuMOhh2X
牛頓VS萊布尼茲的仁義之戰176Please respect copyright.PENANAmv7Gfhkrku
怎麼區分最合適?176Please respect copyright.PENANAiaTgZf4C0l
用微積分計算三角形的面積!176Please respect copyright.PENANAI9tKiYPXS9
來認識微分積分的符號176Please respect copyright.PENANARAWKrQfDY8
Column少年來了!(後篇)176Please respect copyright.PENANARsUTFxwv4H
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第二課 用Excel預測未來!176Please respect copyright.PENANANFkHNQp1oO
現代人,用Excel就能預測未來176Please respect copyright.PENANAMVxX7ypM0G
掌握Excel的使用方法!176Please respect copyright.PENANA24yGxXTYSu
「數學家」、「AI」、「統計學家」的差別176Please respect copyright.PENANAWV52u4iYSw
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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》
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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。
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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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【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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