【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179Please respect copyright.PENANArLq8vJMF3V
登場人物介紹179Please respect copyright.PENANAN6uKwiCQjb
179Please respect copyright.PENANAgfjcU54LqZ
第一天 數學的樂趣在哪裡?179Please respect copyright.PENANA9OoEmLa2EE
第一課 其實並不可怕的高中數學179Please respect copyright.PENANARWQeB7AK9W
好想學真正實用的數學!179Please respect copyright.PENANAA5jpAC3jxL
高中數學比國中數學還簡單!?179Please respect copyright.PENANAfhQ7FtAAxN
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第二課 超精簡的創新數學課!179Please respect copyright.PENANAdYXyZ6sbTd
果斷刪去八成教科書內容!179Please respect copyright.PENANASofeh4xqHz
世界首創!「西成流」數學分類法179Please respect copyright.PENANAzghSudVr1V
高中數學中最輕鬆的是「代數」179Please respect copyright.PENANAwm3MEYrNJ3
高中數學的顛峰是「微分積分」179Please respect copyright.PENANAUKTSyagELH
超好用的工具「餘弦定理」179Please respect copyright.PENANA1oYMsCvP7p
真正的幾何大魔王是「向量」179Please respect copyright.PENANAi66fhxdiQG
Column文組無法理解數學的理由179Please respect copyright.PENANAgHsA9iq1cw
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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!!179Please respect copyright.PENANAbmE57r3DtJ
第一課 速速學會統計學基礎179Please respect copyright.PENANA9QR2lpMh6R
數據處理的3大必備條件179Please respect copyright.PENANAi3opehzkVs
為什麼增加個數很好用?179Please respect copyright.PENANALRhzB0PsbF
「排列組合」是指什麼?179Please respect copyright.PENANAcbOx6drxcA
看離散程度的「標準差」179Please respect copyright.PENANAlPNXoHpsPW
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第二課 記住「數列相加」的方法179Please respect copyright.PENANAPaOevKdtKK
天才高斯少年發現的「倒序相加」179Please respect copyright.PENANAnDQrXBmYP0
超好用!任何等差數列都能用179Please respect copyright.PENANAJ0me2cbQrr
嚴禁直接死背公式!179Please respect copyright.PENANAJw7Xi6icvs
導出等差數列和的公式179Please respect copyright.PENANAuCQhDw9pef
豐臣秀吉被擺了一道!數學變黃金的故事179Please respect copyright.PENANADpzyzUEN5T
等比數列是「相乘後錯位相減」179Please respect copyright.PENANAuv1EIn1MNW
導出等比數列和的公式179Please respect copyright.PENANAhmV7oxXdN4
先知道處理數列和的符號!179Please respect copyright.PENANAZoZZKEOSpP
Column把數學記號當作是念魔咒179Please respect copyright.PENANAtC9DXMSWAF
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第三課 記住「排列組合法」179Please respect copyright.PENANARE447OIS6N
從賽馬了解「排列」與「組合」179Please respect copyright.PENANAYxu3OneLQr
Step①了解階乘的計算方法179Please respect copyright.PENANAhQapJlgpZ8
Step②了解排列的計算方法179Please respect copyright.PENANAApoBmzVS7K
Step③了解組合的計算方法179Please respect copyright.PENANAWnXJUgDE9E
了解「排列」與「組合」的式子179Please respect copyright.PENANAe0OILkiXmI
「排列」和「組合」的符號是「P」和「C」179Please respect copyright.PENANAkVQoMs7Pqv
運用「排列」和「組合」排班表179Please respect copyright.PENANARduCAV3EdC
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第四課 搞懂「離散值」和「標準差」179Please respect copyright.PENANABD60LmsBJ3
資訊分析的基礎是找到「數據的規則」179Please respect copyright.PENANAzUNh3gOEVl
兩個步驟找出離散程度179Please respect copyright.PENANApdNRp0E5kX
平均、分散、標準差的深~度關係179Please respect copyright.PENANAWd7ArERx0S
平均、離散、標準差的記號179Please respect copyright.PENANAwgQCPMiYRT
試著用Excel計算標準差179Please respect copyright.PENANAWvAtJPoj2s
也把「偏差值」的計算公式記起來179Please respect copyright.PENANAr0087FzniB
附註內容①深奧的平均世界179Please respect copyright.PENANAUK95w5hgYd
附註內容②平均值、中位數、眾數179Please respect copyright.PENANAoKRev0E6bp
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第三天 超爽快!掌握高中文組數學的「分析」!179Please respect copyright.PENANAW4lrSKf7wf
第一課 豁然開朗!函數的世界179Please respect copyright.PENANAfJnmuJA77X
函數與方程式的差別?179Please respect copyright.PENANAtw1OYw6n2E
高中數學的4種函數179Please respect copyright.PENANA2vBWatElDX
Column少年西成的理科腦情書179Please respect copyright.PENANAghzgpQNA70
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第二課 來複習二次函數!179Please respect copyright.PENANAcPpvZwuPtG
速速複習!二次方程式179Please respect copyright.PENANAljghxGisdN
畫出二次函數的圖形!179Please respect copyright.PENANAtTIkiHwi8O
Column 物理學家是名偵探179Please respect copyright.PENANAvJts1jBw0U
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第三課 指數函數超好用!179Please respect copyright.PENANAdy4XrC3IRf
記住指數函數的相關用語179Please respect copyright.PENANAy51TiGDKD4
基本規則①乘冪相乘時,指數相加179Please respect copyright.PENANAUUfCO6XvK0
基本規則②乘冪再乘冪時,指數相乘179Please respect copyright.PENANAodODWay829
基本規則③乘冪相除時,指數相減179Please respect copyright.PENANAzudI1rgE4b
指數是負數時會怎樣?179Please respect copyright.PENANAuyYuDNPV1y
指數是「0」的時候會怎樣?179Please respect copyright.PENANAV7lL1PjJwR
根號可以轉換成指數運算179Please respect copyright.PENANAejL9lek6Wi
統整指數運算的處理方式179Please respect copyright.PENANAXFNqAYN1IW
將指數函數做成圖形看看!179Please respect copyright.PENANAxWsiSU942k
順便來談談「對數函數」的內容179Please respect copyright.PENANARuW7ge6BUw
天文數字也可以處理的對數函數179Please respect copyright.PENANA7nacwj3sgp
指數函數與音樂的深~度關係179Please respect copyright.PENANAqDxqqfZ8UB
用iPhone計算指數函數的方法179Please respect copyright.PENANAGlg0eSMugY
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第四天 秒懂高中數學的「幾何」精髓!179Please respect copyright.PENANAgCd27sCMrR
第一課 不再霧煞煞的「三角比」179Please respect copyright.PENANAHjX3yk1gu5
以餘弦定理搞懂三角形179Please respect copyright.PENANAM5LdBfiMeo
畫三角形的「西成流」作法179Please respect copyright.PENANAUmEyO2JEaF
sin、cos、tan是指「邊長比」179Please respect copyright.PENANATuBAQ7VLor
忘掉tan的存在吧!179Please respect copyright.PENANA4WVPOAIPSg
直角三角形的定義中必要的θ179Please respect copyright.PENANA2goXQp0V0R
三角比經常出現的陷阱題179Please respect copyright.PENANAQKbuFzp1jU
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第二課 俐落導出餘弦定理公式179Please respect copyright.PENANAJ7H2dWUkAY
用三角比可以做的事179Please respect copyright.PENANAIIZiHJI2Su
導出餘弦定理①事前準備179Please respect copyright.PENANAwto5ThufZu
導出餘弦定理②成立公式、解開179Please respect copyright.PENANAc3XWQKBBrX
導出餘弦定理③證明sin2θ+ cos2θ= 1179Please respect copyright.PENANAYcLmOxX4Vc
導出餘弦定理④完成179Please respect copyright.PENANA8XwQ7HTaGv
餘弦定理與畢氏定理的關係179Please respect copyright.PENANAfnO99q3YiK
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第三課 學習最後的分析工具「三角函數」!179Please respect copyright.PENANAjemwJGffAA
三角函數只是將θ與y的關係圖像化179Please respect copyright.PENANA4NTSBEMgyv
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第五天 特別課程①:幾何的最終武器「向量」!179Please respect copyright.PENANA6jmAXl4js5
第一課 偉大的「向量」179Please respect copyright.PENANAQknKlOdDBT
用代數解幾何問題!?179Please respect copyright.PENANA3RAN1Qj8Fg
「短短數行」就能證明餘弦定理179Please respect copyright.PENANAHARvBBUNuM
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第二課 了解「向量」的超嶄新概念179Please respect copyright.PENANAVvwFLulixt
向量是集結兩種資訊的「特殊容器」179Please respect copyright.PENANAU2fFJuVYYc
眾所熟知的「純量」179Please respect copyright.PENANAbO0sE6BLdF
數據時代的主角「張量」179Please respect copyright.PENANAIUZVSZDXzl
為什麼我們需要向量?179Please respect copyright.PENANAuHyew6ovAz
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第三課 「向量」是用箭頭當作記號唷179Please respect copyright.PENANASt9hklDKZM
向量的書寫規則179Please respect copyright.PENANADFOR5WlT86
張量的畫法179Please respect copyright.PENANAA9mRwzmBno
試著把向量畫成圖179Please respect copyright.PENANAL7GPoRIjXm
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第四課 「向量」的計算超簡單!179Please respect copyright.PENANA2DpoDzz0cf
來算算向量的加法吧179Please respect copyright.PENANAdQITU2R9EH
也來算算向量的減法179Please respect copyright.PENANAZcahYZ9KFz
試著分解向量吧179Please respect copyright.PENANAWGQGhxbs1d
試著挑戰向量的乘法179Please respect copyright.PENANAFvF4jOqzHE
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第五課 靠「向量」秒殺餘弦定理!179Please respect copyright.PENANABRs3UUl4Mb
用向量瞬間導出餘弦定理!179Please respect copyright.PENANAQqv2OYnGKG
不論幾次元都能處理的向量179Please respect copyright.PENANAAusuGfBehA
Column少年來了!(前篇)179Please respect copyright.PENANA7pVzevGFJz
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第6天 特別課程②:用「微積分」預測未來!179Please respect copyright.PENANA2vcs0X2tKy
第一課 人類的寶物!了解微分積分179Please respect copyright.PENANAlxGYop1MG7
微分積分與函數的關係179Please respect copyright.PENANAhqCXXvpSow
今天的主題是「三角形面積」179Please respect copyright.PENANAPloJpOHV3z
牛頓VS萊布尼茲的仁義之戰179Please respect copyright.PENANAGKxeB1CrgP
怎麼區分最合適?179Please respect copyright.PENANAV4x3JXeor4
用微積分計算三角形的面積!179Please respect copyright.PENANAc5VZwmPPyx
來認識微分積分的符號179Please respect copyright.PENANA7yNqs41qoK
Column少年來了!(後篇)179Please respect copyright.PENANApaLUDi4EFu
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第二課 用Excel預測未來!179Please respect copyright.PENANAZQh1MTQbcI
現代人,用Excel就能預測未來179Please respect copyright.PENANAFB8hdVBbmO
掌握Excel的使用方法!179Please respect copyright.PENANAS5wQwppOlS
「數學家」、「AI」、「統計學家」的差別179Please respect copyright.PENANA8RASM0lCZM
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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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