【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136Please respect copyright.PENANAWKVMzYYlCL
登場人物介紹136Please respect copyright.PENANA4iTgwsPdgN
136Please respect copyright.PENANAHomCWfClM1
第一天 數學的樂趣在哪裡?136Please respect copyright.PENANAzNOaYpvNVj
第一課 其實並不可怕的高中數學136Please respect copyright.PENANAKXm5gIUUtu
好想學真正實用的數學!136Please respect copyright.PENANAm7zF8Zdvo6
高中數學比國中數學還簡單!?136Please respect copyright.PENANAD0DMCSU69T
136Please respect copyright.PENANABi8rK5mXL1
第二課 超精簡的創新數學課!136Please respect copyright.PENANAjVDkaHoiim
果斷刪去八成教科書內容!136Please respect copyright.PENANAcekIpruXPT
世界首創!「西成流」數學分類法136Please respect copyright.PENANAx9lgBVbQcT
高中數學中最輕鬆的是「代數」136Please respect copyright.PENANA9ginvH6vel
高中數學的顛峰是「微分積分」136Please respect copyright.PENANARuV19SasD4
超好用的工具「餘弦定理」136Please respect copyright.PENANApzAsNVVgpL
真正的幾何大魔王是「向量」136Please respect copyright.PENANAxFaFjqnLnZ
Column文組無法理解數學的理由136Please respect copyright.PENANAjcYPUEvBzE
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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!!136Please respect copyright.PENANA08pvwvUklA
第一課 速速學會統計學基礎136Please respect copyright.PENANACnqiVXUrii
數據處理的3大必備條件136Please respect copyright.PENANAnegYqU8gto
為什麼增加個數很好用?136Please respect copyright.PENANABuUCdHzw9C
「排列組合」是指什麼?136Please respect copyright.PENANAL8Ix10ykuF
看離散程度的「標準差」136Please respect copyright.PENANAH6qx68Kk2G
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第二課 記住「數列相加」的方法136Please respect copyright.PENANAF71DGHMlvj
天才高斯少年發現的「倒序相加」136Please respect copyright.PENANAXIcBfKTfBC
超好用!任何等差數列都能用136Please respect copyright.PENANAGeBshndDFH
嚴禁直接死背公式!136Please respect copyright.PENANACHEDwPfLaX
導出等差數列和的公式136Please respect copyright.PENANAvCBQOCEc3m
豐臣秀吉被擺了一道!數學變黃金的故事136Please respect copyright.PENANAixIOukaPY8
等比數列是「相乘後錯位相減」136Please respect copyright.PENANAf1HsEULyrs
導出等比數列和的公式136Please respect copyright.PENANAvKfkpzku4G
先知道處理數列和的符號!136Please respect copyright.PENANAXo2ECXaPfh
Column把數學記號當作是念魔咒136Please respect copyright.PENANAkSdBa1VSUa
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第三課 記住「排列組合法」136Please respect copyright.PENANAVNEWPs7XZE
從賽馬了解「排列」與「組合」136Please respect copyright.PENANAL7bwT2HGsg
Step①了解階乘的計算方法136Please respect copyright.PENANAv1qmiABUua
Step②了解排列的計算方法136Please respect copyright.PENANAJIBQZWOzLe
Step③了解組合的計算方法136Please respect copyright.PENANAp1VWA2rHzA
了解「排列」與「組合」的式子136Please respect copyright.PENANAo3fCdrdQBb
「排列」和「組合」的符號是「P」和「C」136Please respect copyright.PENANAgOp5VgjVXJ
運用「排列」和「組合」排班表136Please respect copyright.PENANA2B801OLaDI
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第四課 搞懂「離散值」和「標準差」136Please respect copyright.PENANADhlJ6QFlBP
資訊分析的基礎是找到「數據的規則」136Please respect copyright.PENANAroZUdiPHOL
兩個步驟找出離散程度136Please respect copyright.PENANAsp2dXRLx1K
平均、分散、標準差的深~度關係136Please respect copyright.PENANAXWupVKlzD5
平均、離散、標準差的記號136Please respect copyright.PENANASSq6XbMhE9
試著用Excel計算標準差136Please respect copyright.PENANA1BlMHYTEye
也把「偏差值」的計算公式記起來136Please respect copyright.PENANAS2vny3cXwp
附註內容①深奧的平均世界136Please respect copyright.PENANArKXEOMBR8V
附註內容②平均值、中位數、眾數136Please respect copyright.PENANAAlnUCGBc6Z
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第三天 超爽快!掌握高中文組數學的「分析」!136Please respect copyright.PENANAMd8F8Oaz3R
第一課 豁然開朗!函數的世界136Please respect copyright.PENANAGpEfVuUICI
函數與方程式的差別?136Please respect copyright.PENANAVPYN7z7QaD
高中數學的4種函數136Please respect copyright.PENANAEq8R1ksthv
Column少年西成的理科腦情書136Please respect copyright.PENANAH7LMDCYUQy
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第二課 來複習二次函數!136Please respect copyright.PENANA8X92ZBzL1X
速速複習!二次方程式136Please respect copyright.PENANAChKjZeFRuy
畫出二次函數的圖形!136Please respect copyright.PENANABGbSbcAf45
Column 物理學家是名偵探136Please respect copyright.PENANAWV3DvUDpcR
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第三課 指數函數超好用!136Please respect copyright.PENANAL7LFKQ9rM5
記住指數函數的相關用語136Please respect copyright.PENANAhA1xzjVk0m
基本規則①乘冪相乘時,指數相加136Please respect copyright.PENANAP27oU5virz
基本規則②乘冪再乘冪時,指數相乘136Please respect copyright.PENANAxTVd2Qlf8o
基本規則③乘冪相除時,指數相減136Please respect copyright.PENANAISIfBUyLnZ
指數是負數時會怎樣?136Please respect copyright.PENANAyiN78YqSek
指數是「0」的時候會怎樣?136Please respect copyright.PENANAFTYqYTr6Pw
根號可以轉換成指數運算136Please respect copyright.PENANAK7V1aUWcFS
統整指數運算的處理方式136Please respect copyright.PENANAai3LeHKdG5
將指數函數做成圖形看看!136Please respect copyright.PENANAXzOqjILJGU
順便來談談「對數函數」的內容136Please respect copyright.PENANA58vyyih3mD
天文數字也可以處理的對數函數136Please respect copyright.PENANAiS8gU21WNB
指數函數與音樂的深~度關係136Please respect copyright.PENANApi2KsnxIx9
用iPhone計算指數函數的方法136Please respect copyright.PENANAnaXUefLIzB
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第四天 秒懂高中數學的「幾何」精髓!136Please respect copyright.PENANAlArgLSkidH
第一課 不再霧煞煞的「三角比」136Please respect copyright.PENANAdNMXDFOd7Z
以餘弦定理搞懂三角形136Please respect copyright.PENANA4a5IaSoFpW
畫三角形的「西成流」作法136Please respect copyright.PENANAWwZowf21mC
sin、cos、tan是指「邊長比」136Please respect copyright.PENANAegeoIKEfrG
忘掉tan的存在吧!136Please respect copyright.PENANAeVJEgjxPqQ
直角三角形的定義中必要的θ136Please respect copyright.PENANAoiJlKnpUuw
三角比經常出現的陷阱題136Please respect copyright.PENANAagftvzAdvM
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第二課 俐落導出餘弦定理公式136Please respect copyright.PENANAccPucqjEH3
用三角比可以做的事136Please respect copyright.PENANAebmKFHdJd6
導出餘弦定理①事前準備136Please respect copyright.PENANAwEh9Beh1x1
導出餘弦定理②成立公式、解開136Please respect copyright.PENANABROrraUVpf
導出餘弦定理③證明sin2θ+ cos2θ= 1136Please respect copyright.PENANAkLl2S6uCJw
導出餘弦定理④完成136Please respect copyright.PENANASjB8XIPiaD
餘弦定理與畢氏定理的關係136Please respect copyright.PENANAP2wB1kzdrr
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第三課 學習最後的分析工具「三角函數」!136Please respect copyright.PENANA85CURk94ui
三角函數只是將θ與y的關係圖像化136Please respect copyright.PENANArVoRZn9K9z
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第五天 特別課程①:幾何的最終武器「向量」!136Please respect copyright.PENANAECGPktjec6
第一課 偉大的「向量」136Please respect copyright.PENANAeC8hO01FgT
用代數解幾何問題!?136Please respect copyright.PENANAN41yvrSjwR
「短短數行」就能證明餘弦定理136Please respect copyright.PENANATf2l8PkbzN
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第二課 了解「向量」的超嶄新概念136Please respect copyright.PENANAAE0zYFTNPR
向量是集結兩種資訊的「特殊容器」136Please respect copyright.PENANA4dvLpPzsot
眾所熟知的「純量」136Please respect copyright.PENANALNn716nkvP
數據時代的主角「張量」136Please respect copyright.PENANAv6IuBXGd7b
為什麼我們需要向量?136Please respect copyright.PENANAvj8UgFmzcM
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第三課 「向量」是用箭頭當作記號唷136Please respect copyright.PENANAGSiPTgWxHF
向量的書寫規則136Please respect copyright.PENANAtaP8nIAHK6
張量的畫法136Please respect copyright.PENANAvTZ1iduE8p
試著把向量畫成圖136Please respect copyright.PENANAvvtwMyC3Sv
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第四課 「向量」的計算超簡單!136Please respect copyright.PENANA9IeoCCHhtJ
來算算向量的加法吧136Please respect copyright.PENANAV370oBT4DM
也來算算向量的減法136Please respect copyright.PENANA529GHVpxTW
試著分解向量吧136Please respect copyright.PENANAY9ckDsn4ac
試著挑戰向量的乘法136Please respect copyright.PENANAsn6RvtSpUP
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第五課 靠「向量」秒殺餘弦定理!136Please respect copyright.PENANAzl8qCg3TOS
用向量瞬間導出餘弦定理!136Please respect copyright.PENANAT6Laqq0ixd
不論幾次元都能處理的向量136Please respect copyright.PENANAycPcyyI6AC
Column少年來了!(前篇)136Please respect copyright.PENANARaukoq1M6B
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第6天 特別課程②:用「微積分」預測未來!136Please respect copyright.PENANAcJR6KgKOGh
第一課 人類的寶物!了解微分積分136Please respect copyright.PENANAzdQWxDGvdM
微分積分與函數的關係136Please respect copyright.PENANANtaP5lLddA
今天的主題是「三角形面積」136Please respect copyright.PENANAjdyISOm27Y
牛頓VS萊布尼茲的仁義之戰136Please respect copyright.PENANApDWBkTWgq8
怎麼區分最合適?136Please respect copyright.PENANAiNLkketVnU
用微積分計算三角形的面積!136Please respect copyright.PENANAaA78shyJc1
來認識微分積分的符號136Please respect copyright.PENANAU2Ka9REtTz
Column少年來了!(後篇)136Please respect copyright.PENANA0mNaGkHvVz
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第二課 用Excel預測未來!136Please respect copyright.PENANA3nSksHhjZr
現代人,用Excel就能預測未來136Please respect copyright.PENANAYVv7VbQ1W8
掌握Excel的使用方法!136Please respect copyright.PENANArWGe0rXpLN
「數學家」、「AI」、「統計學家」的差別136Please respect copyright.PENANAdhbpqJzBTP
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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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