【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150Please respect copyright.PENANAUeYjzcSDZL
登場人物介紹150Please respect copyright.PENANAkzCPr4pmwo
150Please respect copyright.PENANAAJRjfaaWSH
第一天 數學的樂趣在哪裡?150Please respect copyright.PENANA40nermQoSp
第一課 其實並不可怕的高中數學150Please respect copyright.PENANAgyASacP2Y3
好想學真正實用的數學!150Please respect copyright.PENANAp3ZSrD15TM
高中數學比國中數學還簡單!?150Please respect copyright.PENANAG8sum1ntID
150Please respect copyright.PENANAkQLfEH5xCp
第二課 超精簡的創新數學課!150Please respect copyright.PENANAUqP0OQ4ZZp
果斷刪去八成教科書內容!150Please respect copyright.PENANACr8H9FWr6J
世界首創!「西成流」數學分類法150Please respect copyright.PENANAzgQwbYdPgp
高中數學中最輕鬆的是「代數」150Please respect copyright.PENANA75XwAA2tbx
高中數學的顛峰是「微分積分」150Please respect copyright.PENANA0D6m53gdWv
超好用的工具「餘弦定理」150Please respect copyright.PENANAFluFd5Y9ak
真正的幾何大魔王是「向量」150Please respect copyright.PENANA7VweFM3kVn
Column文組無法理解數學的理由150Please respect copyright.PENANAOzoHiiNwkM
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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!!150Please respect copyright.PENANAz5nkN7mJcw
第一課 速速學會統計學基礎150Please respect copyright.PENANAiJ8VoHqbb5
數據處理的3大必備條件150Please respect copyright.PENANA8mG7VM3k1i
為什麼增加個數很好用?150Please respect copyright.PENANAteWq5JyVgm
「排列組合」是指什麼?150Please respect copyright.PENANAYRp89vwpR2
看離散程度的「標準差」150Please respect copyright.PENANAqIT9vAKKor
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第二課 記住「數列相加」的方法150Please respect copyright.PENANAPLh7ImP0vw
天才高斯少年發現的「倒序相加」150Please respect copyright.PENANABNg3BPfYH2
超好用!任何等差數列都能用150Please respect copyright.PENANAB6kUia4F9m
嚴禁直接死背公式!150Please respect copyright.PENANA35NQeXQHKf
導出等差數列和的公式150Please respect copyright.PENANAeuxa9z9Rqq
豐臣秀吉被擺了一道!數學變黃金的故事150Please respect copyright.PENANAkhHW4D9i1k
等比數列是「相乘後錯位相減」150Please respect copyright.PENANA1T890S05LP
導出等比數列和的公式150Please respect copyright.PENANAakLKQMMJYR
先知道處理數列和的符號!150Please respect copyright.PENANArqiK0kBIpZ
Column把數學記號當作是念魔咒150Please respect copyright.PENANAOjKyOnEe6V
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第三課 記住「排列組合法」150Please respect copyright.PENANAzliTO5DWZg
從賽馬了解「排列」與「組合」150Please respect copyright.PENANAAux4Y3UB3D
Step①了解階乘的計算方法150Please respect copyright.PENANAVf6cbROtsO
Step②了解排列的計算方法150Please respect copyright.PENANAoFZx9Bdo9u
Step③了解組合的計算方法150Please respect copyright.PENANAbKG6yICzZg
了解「排列」與「組合」的式子150Please respect copyright.PENANAsA9JU32Qst
「排列」和「組合」的符號是「P」和「C」150Please respect copyright.PENANARgq91kS5jK
運用「排列」和「組合」排班表150Please respect copyright.PENANA1fWwjqisDv
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第四課 搞懂「離散值」和「標準差」150Please respect copyright.PENANAztT67o0vuE
資訊分析的基礎是找到「數據的規則」150Please respect copyright.PENANAdlmZiUjhgZ
兩個步驟找出離散程度150Please respect copyright.PENANAwM7cUwMiz9
平均、分散、標準差的深~度關係150Please respect copyright.PENANANtDJE9M2jh
平均、離散、標準差的記號150Please respect copyright.PENANABWz1bKTkbq
試著用Excel計算標準差150Please respect copyright.PENANAJQgh9WbI8z
也把「偏差值」的計算公式記起來150Please respect copyright.PENANA2VVGTYrAfW
附註內容①深奧的平均世界150Please respect copyright.PENANAN7Swpbez2c
附註內容②平均值、中位數、眾數150Please respect copyright.PENANAbORp9RdOvK
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第三天 超爽快!掌握高中文組數學的「分析」!150Please respect copyright.PENANACPemCnbbKE
第一課 豁然開朗!函數的世界150Please respect copyright.PENANASfqaZyuOoq
函數與方程式的差別?150Please respect copyright.PENANACpkC41k51l
高中數學的4種函數150Please respect copyright.PENANASU3o0GQ5Bg
Column少年西成的理科腦情書150Please respect copyright.PENANASqvmN1oxFr
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第二課 來複習二次函數!150Please respect copyright.PENANAlHCSUq5pwh
速速複習!二次方程式150Please respect copyright.PENANAE7u450dPqR
畫出二次函數的圖形!150Please respect copyright.PENANAH1EFYp0f1r
Column 物理學家是名偵探150Please respect copyright.PENANAeYruNY9sPC
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第三課 指數函數超好用!150Please respect copyright.PENANAcwnxTezR5m
記住指數函數的相關用語150Please respect copyright.PENANA1MSBowtyUX
基本規則①乘冪相乘時,指數相加150Please respect copyright.PENANATRvRcPV3EM
基本規則②乘冪再乘冪時,指數相乘150Please respect copyright.PENANAi3NZtlCsQo
基本規則③乘冪相除時,指數相減150Please respect copyright.PENANAx00bZlshmj
指數是負數時會怎樣?150Please respect copyright.PENANAcs2pbHxPWX
指數是「0」的時候會怎樣?150Please respect copyright.PENANAljKckaWKG9
根號可以轉換成指數運算150Please respect copyright.PENANAZQ7cmxlRlP
統整指數運算的處理方式150Please respect copyright.PENANAENNKZZswrW
將指數函數做成圖形看看!150Please respect copyright.PENANAUVVtpbrH4H
順便來談談「對數函數」的內容150Please respect copyright.PENANAdVrhYl2riR
天文數字也可以處理的對數函數150Please respect copyright.PENANASwSlJt5KSQ
指數函數與音樂的深~度關係150Please respect copyright.PENANAUu1t8fwbZv
用iPhone計算指數函數的方法150Please respect copyright.PENANARKV7JYBnn7
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第四天 秒懂高中數學的「幾何」精髓!150Please respect copyright.PENANAfH4dWXTHzj
第一課 不再霧煞煞的「三角比」150Please respect copyright.PENANA50ap8Xdz2j
以餘弦定理搞懂三角形150Please respect copyright.PENANA7KjL26p2qe
畫三角形的「西成流」作法150Please respect copyright.PENANAUsjvEEPlW8
sin、cos、tan是指「邊長比」150Please respect copyright.PENANADu8k5UwjwY
忘掉tan的存在吧!150Please respect copyright.PENANA6pK52dhYzt
直角三角形的定義中必要的θ150Please respect copyright.PENANArdf2s4kUyQ
三角比經常出現的陷阱題150Please respect copyright.PENANAald5liz4Xo
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第二課 俐落導出餘弦定理公式150Please respect copyright.PENANAwNfNpTTs4q
用三角比可以做的事150Please respect copyright.PENANA9KZCDVno8V
導出餘弦定理①事前準備150Please respect copyright.PENANAxifkleq73W
導出餘弦定理②成立公式、解開150Please respect copyright.PENANAu8sgdWNE5y
導出餘弦定理③證明sin2θ+ cos2θ= 1150Please respect copyright.PENANAYTyH5PI1eI
導出餘弦定理④完成150Please respect copyright.PENANAH02dIoe4wF
餘弦定理與畢氏定理的關係150Please respect copyright.PENANAv4jSuaHE87
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第三課 學習最後的分析工具「三角函數」!150Please respect copyright.PENANACoFk75JHRe
三角函數只是將θ與y的關係圖像化150Please respect copyright.PENANAnEqQqNCktk
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第五天 特別課程①:幾何的最終武器「向量」!150Please respect copyright.PENANAPqbroL1DV2
第一課 偉大的「向量」150Please respect copyright.PENANAvu7RRezYtf
用代數解幾何問題!?150Please respect copyright.PENANAt0RViEGF05
「短短數行」就能證明餘弦定理150Please respect copyright.PENANAAZoRxxncMi
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第二課 了解「向量」的超嶄新概念150Please respect copyright.PENANAPqq7VTTeCV
向量是集結兩種資訊的「特殊容器」150Please respect copyright.PENANAE0U9HARbLJ
眾所熟知的「純量」150Please respect copyright.PENANAg387Pbtepy
數據時代的主角「張量」150Please respect copyright.PENANALimXD3FFxw
為什麼我們需要向量?150Please respect copyright.PENANAIZ69udlL6P
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第三課 「向量」是用箭頭當作記號唷150Please respect copyright.PENANAuS5pHGBAIV
向量的書寫規則150Please respect copyright.PENANAxpXxtIqHiX
張量的畫法150Please respect copyright.PENANAQ5gKO0ePd0
試著把向量畫成圖150Please respect copyright.PENANACOaf5IF5GW
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第四課 「向量」的計算超簡單!150Please respect copyright.PENANAfIr0wkK5At
來算算向量的加法吧150Please respect copyright.PENANAbXc91djHKw
也來算算向量的減法150Please respect copyright.PENANAkBea7FXT7H
試著分解向量吧150Please respect copyright.PENANAfXPinHSosP
試著挑戰向量的乘法150Please respect copyright.PENANAiR2do6UGuo
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第五課 靠「向量」秒殺餘弦定理!150Please respect copyright.PENANAOjG37lbzKi
用向量瞬間導出餘弦定理!150Please respect copyright.PENANAAxKd9DBYX7
不論幾次元都能處理的向量150Please respect copyright.PENANAKJ0m26afYt
Column少年來了!(前篇)150Please respect copyright.PENANAJHWX2hXqKY
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第6天 特別課程②:用「微積分」預測未來!150Please respect copyright.PENANAgG5EjBzzcq
第一課 人類的寶物!了解微分積分150Please respect copyright.PENANA7Bt8WOko2c
微分積分與函數的關係150Please respect copyright.PENANAKQcJgsA96b
今天的主題是「三角形面積」150Please respect copyright.PENANAjUxp2esecI
牛頓VS萊布尼茲的仁義之戰150Please respect copyright.PENANAMYbtYCgQSN
怎麼區分最合適?150Please respect copyright.PENANADBWmzMqI1E
用微積分計算三角形的面積!150Please respect copyright.PENANABKLqShDpwA
來認識微分積分的符號150Please respect copyright.PENANA8lkxVKEbYy
Column少年來了!(後篇)150Please respect copyright.PENANA9oAib3Gket
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第二課 用Excel預測未來!150Please respect copyright.PENANAiYx1bR2m0E
現代人,用Excel就能預測未來150Please respect copyright.PENANANFUX3Yc8CM
掌握Excel的使用方法!150Please respect copyright.PENANAFXymugcK7p
「數學家」、「AI」、「統計學家」的差別150Please respect copyright.PENANARON6D9F1Ws
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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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