【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92Please respect copyright.PENANAMQjye8ANON
登場人物介紹92Please respect copyright.PENANA20UKRGPimY
92Please respect copyright.PENANAEn2tMsncR4
第一天 數學的樂趣在哪裡?92Please respect copyright.PENANA8omFsVIIAV
第一課 其實並不可怕的高中數學92Please respect copyright.PENANAzNGTnTnNDf
好想學真正實用的數學!92Please respect copyright.PENANA80qqjmNii4
高中數學比國中數學還簡單!?92Please respect copyright.PENANAb8QWxw6w88
92Please respect copyright.PENANAdncxpF0wXZ
第二課 超精簡的創新數學課!92Please respect copyright.PENANAavksWqIKAs
果斷刪去八成教科書內容!92Please respect copyright.PENANAIiB7tpvacs
世界首創!「西成流」數學分類法92Please respect copyright.PENANAxwKm9baMUd
高中數學中最輕鬆的是「代數」92Please respect copyright.PENANAIfQBbZQGzV
高中數學的顛峰是「微分積分」92Please respect copyright.PENANAVTmTYRrzOc
超好用的工具「餘弦定理」92Please respect copyright.PENANAv6NML7nm45
真正的幾何大魔王是「向量」92Please respect copyright.PENANAWMiy6ppD5Y
Column文組無法理解數學的理由92Please respect copyright.PENANALgbBtzE1xs
92Please respect copyright.PENANACiz5kd4gyR
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!92Please respect copyright.PENANAY1vsPDBo4q
第一課 速速學會統計學基礎92Please respect copyright.PENANALWCK8adNEk
數據處理的3大必備條件92Please respect copyright.PENANAHT7flf2imQ
為什麼增加個數很好用?92Please respect copyright.PENANA6TxcB1hgUe
「排列組合」是指什麼?92Please respect copyright.PENANAAstwG3a5gl
看離散程度的「標準差」92Please respect copyright.PENANAz6emvnwsaK
92Please respect copyright.PENANAjF3XYNK37Y
第二課 記住「數列相加」的方法92Please respect copyright.PENANANP4knCmlXd
天才高斯少年發現的「倒序相加」92Please respect copyright.PENANA4olr9U7zsO
超好用!任何等差數列都能用92Please respect copyright.PENANA0PCY5ar4x4
嚴禁直接死背公式!92Please respect copyright.PENANAvV2XrbYCyt
導出等差數列和的公式92Please respect copyright.PENANAFSkPkQe3oP
豐臣秀吉被擺了一道!數學變黃金的故事92Please respect copyright.PENANAot07kwbyAj
等比數列是「相乘後錯位相減」92Please respect copyright.PENANAM94sCDZVNE
導出等比數列和的公式92Please respect copyright.PENANArbFssDKz6W
先知道處理數列和的符號!92Please respect copyright.PENANAZCkwR8suUD
Column把數學記號當作是念魔咒92Please respect copyright.PENANAnODUEbSurL
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第三課 記住「排列組合法」92Please respect copyright.PENANAkI59l2yo6n
從賽馬了解「排列」與「組合」92Please respect copyright.PENANAMWZuJAKfID
Step①了解階乘的計算方法92Please respect copyright.PENANA51ap9RECgy
Step②了解排列的計算方法92Please respect copyright.PENANAVJVH8JPxAz
Step③了解組合的計算方法92Please respect copyright.PENANAMdzx7WfNtR
了解「排列」與「組合」的式子92Please respect copyright.PENANAA6IgDVSmkP
「排列」和「組合」的符號是「P」和「C」92Please respect copyright.PENANAGW5VynWpjU
運用「排列」和「組合」排班表92Please respect copyright.PENANA6UCMU54llV
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第四課 搞懂「離散值」和「標準差」92Please respect copyright.PENANAcfAnUw71uf
資訊分析的基礎是找到「數據的規則」92Please respect copyright.PENANAWKwox3VJId
兩個步驟找出離散程度92Please respect copyright.PENANAdwxoDaNW5M
平均、分散、標準差的深~度關係92Please respect copyright.PENANA8Hl3f1ExFp
平均、離散、標準差的記號92Please respect copyright.PENANAUAvXqLf857
試著用Excel計算標準差92Please respect copyright.PENANAlPYAYrQs7q
也把「偏差值」的計算公式記起來92Please respect copyright.PENANA4tMniQljBB
附註內容①深奧的平均世界92Please respect copyright.PENANA2fvqkTcn3k
附註內容②平均值、中位數、眾數92Please respect copyright.PENANAgwL29ZJjih
92Please respect copyright.PENANAHfyt1L3P08
第三天 超爽快!掌握高中文組數學的「分析」!92Please respect copyright.PENANAWZ3hAEp2Pl
第一課 豁然開朗!函數的世界92Please respect copyright.PENANA09sIBpkFHG
函數與方程式的差別?92Please respect copyright.PENANADOTCGPElw1
高中數學的4種函數92Please respect copyright.PENANAVWNXY8oW2Y
Column少年西成的理科腦情書92Please respect copyright.PENANAVSqhBayfWx
92Please respect copyright.PENANA1dehEcKYmn
第二課 來複習二次函數!92Please respect copyright.PENANAm75y0bgOMX
速速複習!二次方程式92Please respect copyright.PENANAW8JKd614Yv
畫出二次函數的圖形!92Please respect copyright.PENANAGvvKPXVZo5
Column 物理學家是名偵探92Please respect copyright.PENANA6G4YURBVGj
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第三課 指數函數超好用!92Please respect copyright.PENANAqkjVsVB74i
記住指數函數的相關用語92Please respect copyright.PENANAfAjZRENdOf
基本規則①乘冪相乘時,指數相加92Please respect copyright.PENANAvawJSeBQBn
基本規則②乘冪再乘冪時,指數相乘92Please respect copyright.PENANA3KUTCoWKFl
基本規則③乘冪相除時,指數相減92Please respect copyright.PENANAG37qxfwHhs
指數是負數時會怎樣?92Please respect copyright.PENANAQKhzun8oMC
指數是「0」的時候會怎樣?92Please respect copyright.PENANAWsqyAryNrV
根號可以轉換成指數運算92Please respect copyright.PENANABuOog5DZOR
統整指數運算的處理方式92Please respect copyright.PENANAazhgfLuRJm
將指數函數做成圖形看看!92Please respect copyright.PENANAugQnBLoTuu
順便來談談「對數函數」的內容92Please respect copyright.PENANA7wVgttqQVh
天文數字也可以處理的對數函數92Please respect copyright.PENANAKmyyE28xFA
指數函數與音樂的深~度關係92Please respect copyright.PENANAGyVykjLRHc
用iPhone計算指數函數的方法92Please respect copyright.PENANA2BSWGBcHdz
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第四天 秒懂高中數學的「幾何」精髓!92Please respect copyright.PENANAVapxZYPv5J
第一課 不再霧煞煞的「三角比」92Please respect copyright.PENANA87Z5ZCrIMF
以餘弦定理搞懂三角形92Please respect copyright.PENANA3099RBEcCV
畫三角形的「西成流」作法92Please respect copyright.PENANABtNVxyJape
sin、cos、tan是指「邊長比」92Please respect copyright.PENANANtuSdGpaev
忘掉tan的存在吧!92Please respect copyright.PENANAMJ6HLRsXmZ
直角三角形的定義中必要的θ92Please respect copyright.PENANAo4XsEj3ggk
三角比經常出現的陷阱題92Please respect copyright.PENANAcriUkgYqqK
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第二課 俐落導出餘弦定理公式92Please respect copyright.PENANAv26w8AqkAw
用三角比可以做的事92Please respect copyright.PENANANm7sKFd3Ra
導出餘弦定理①事前準備92Please respect copyright.PENANAL9t31nPvPW
導出餘弦定理②成立公式、解開92Please respect copyright.PENANA5BxFKzl6YY
導出餘弦定理③證明sin2θ+ cos2θ= 192Please respect copyright.PENANA1PftJ7unoo
導出餘弦定理④完成92Please respect copyright.PENANAgsWNTfxhQT
餘弦定理與畢氏定理的關係92Please respect copyright.PENANAGKLGFhumBf
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第三課 學習最後的分析工具「三角函數」!92Please respect copyright.PENANAvPnugrldxQ
三角函數只是將θ與y的關係圖像化92Please respect copyright.PENANAnCpnqOngqK
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第五天 特別課程①:幾何的最終武器「向量」!92Please respect copyright.PENANATq5ln7M3ml
第一課 偉大的「向量」92Please respect copyright.PENANAv5Ew8o3qRx
用代數解幾何問題!?92Please respect copyright.PENANAWhuF6P8ba1
「短短數行」就能證明餘弦定理92Please respect copyright.PENANA7mO8Sotl6C
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第二課 了解「向量」的超嶄新概念92Please respect copyright.PENANA8Y15h1Rd2x
向量是集結兩種資訊的「特殊容器」92Please respect copyright.PENANA0MTxEUY1ET
眾所熟知的「純量」92Please respect copyright.PENANAcXxy8G40Vx
數據時代的主角「張量」92Please respect copyright.PENANAatkM7pfeSO
為什麼我們需要向量?92Please respect copyright.PENANA6rOln2t5jj
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第三課 「向量」是用箭頭當作記號唷92Please respect copyright.PENANARPlTMZLyPJ
向量的書寫規則92Please respect copyright.PENANAl3yMOpPP76
張量的畫法92Please respect copyright.PENANANUiGWNx768
試著把向量畫成圖92Please respect copyright.PENANAlOTNXTy5gH
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第四課 「向量」的計算超簡單!92Please respect copyright.PENANAtKetSWrUSg
來算算向量的加法吧92Please respect copyright.PENANAlc0dJM2h9t
也來算算向量的減法92Please respect copyright.PENANA6QzCn3EP15
試著分解向量吧92Please respect copyright.PENANApbCrKXP9fp
試著挑戰向量的乘法92Please respect copyright.PENANACGrk3RETy0
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第五課 靠「向量」秒殺餘弦定理!92Please respect copyright.PENANAuJ90MSgqhk
用向量瞬間導出餘弦定理!92Please respect copyright.PENANACOs6tIvbVt
不論幾次元都能處理的向量92Please respect copyright.PENANA5moiNAYX5o
Column少年來了!(前篇)92Please respect copyright.PENANAyJ5mLFcLMz
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第6天 特別課程②:用「微積分」預測未來!92Please respect copyright.PENANATQd2kRZ0Hz
第一課 人類的寶物!了解微分積分92Please respect copyright.PENANAUPLvxioSe3
微分積分與函數的關係92Please respect copyright.PENANAg99duvdFXm
今天的主題是「三角形面積」92Please respect copyright.PENANAKSnUrrEa2x
牛頓VS萊布尼茲的仁義之戰92Please respect copyright.PENANA76f9vryW1K
怎麼區分最合適?92Please respect copyright.PENANAQGAq9UE7f9
用微積分計算三角形的面積!92Please respect copyright.PENANAAbCm4KUoKA
來認識微分積分的符號92Please respect copyright.PENANAEgxnBZjaij
Column少年來了!(後篇)92Please respect copyright.PENANARPL5CZ2wFf
92Please respect copyright.PENANAIHMqzRmdds
第二課 用Excel預測未來!92Please respect copyright.PENANAAu6mEEE8lw
現代人,用Excel就能預測未來92Please respect copyright.PENANAANTkb1nZ97
掌握Excel的使用方法!92Please respect copyright.PENANAvtnVVK9Dyq
「數學家」、「AI」、「統計學家」的差別92Please respect copyright.PENANAvYk24OfZOU
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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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