【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206Please respect copyright.PENANAOr3UcNnAtB
登場人物介紹206Please respect copyright.PENANAlREZgmwzzl
206Please respect copyright.PENANAXzOdCoJBLS
第一天 數學的樂趣在哪裡?206Please respect copyright.PENANA6HCFuLLNWt
第一課 其實並不可怕的高中數學206Please respect copyright.PENANADy0HSeAcL2
好想學真正實用的數學!206Please respect copyright.PENANAfCTr1xe1qo
高中數學比國中數學還簡單!?206Please respect copyright.PENANAape6mMwCCS
206Please respect copyright.PENANAqpOYiQyC58
第二課 超精簡的創新數學課!206Please respect copyright.PENANAQkhpfeCcye
果斷刪去八成教科書內容!206Please respect copyright.PENANAHjxl1HRY6x
世界首創!「西成流」數學分類法206Please respect copyright.PENANAU41a8qGIms
高中數學中最輕鬆的是「代數」206Please respect copyright.PENANAPMN2VJvof7
高中數學的顛峰是「微分積分」206Please respect copyright.PENANAtdCBeMYodg
超好用的工具「餘弦定理」206Please respect copyright.PENANA1ZwWwwNixQ
真正的幾何大魔王是「向量」206Please respect copyright.PENANANLCwS1VflV
Column文組無法理解數學的理由206Please respect copyright.PENANAcA7Rcm2jHG
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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!!206Please respect copyright.PENANAIMVp7wsBjF
第一課 速速學會統計學基礎206Please respect copyright.PENANAGJrAbn1JAB
數據處理的3大必備條件206Please respect copyright.PENANAIn5JqZCzG3
為什麼增加個數很好用?206Please respect copyright.PENANAeLl2QdZxae
「排列組合」是指什麼?206Please respect copyright.PENANAFNiQNWPOI3
看離散程度的「標準差」206Please respect copyright.PENANAeyzQdIHqWT
206Please respect copyright.PENANAbvLyL9AIac
第二課 記住「數列相加」的方法206Please respect copyright.PENANAtBeDnd80e0
天才高斯少年發現的「倒序相加」206Please respect copyright.PENANAdEnfd7dimJ
超好用!任何等差數列都能用206Please respect copyright.PENANAO8JSZKLPSe
嚴禁直接死背公式!206Please respect copyright.PENANAekoIdTvCJD
導出等差數列和的公式206Please respect copyright.PENANAEHI5bsTUTi
豐臣秀吉被擺了一道!數學變黃金的故事206Please respect copyright.PENANAdwruLN6f9O
等比數列是「相乘後錯位相減」206Please respect copyright.PENANAtVDEhvbUan
導出等比數列和的公式206Please respect copyright.PENANAk5aV4x7ebz
先知道處理數列和的符號!206Please respect copyright.PENANAaH9I346vYe
Column把數學記號當作是念魔咒206Please respect copyright.PENANAgr40pALHyi
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第三課 記住「排列組合法」206Please respect copyright.PENANAnKPjtxAqxz
從賽馬了解「排列」與「組合」206Please respect copyright.PENANAXJJ8veKbDL
Step①了解階乘的計算方法206Please respect copyright.PENANAFLXS6C6hAj
Step②了解排列的計算方法206Please respect copyright.PENANARuuGJQo3s8
Step③了解組合的計算方法206Please respect copyright.PENANANDnBwO97NO
了解「排列」與「組合」的式子206Please respect copyright.PENANA6xqw8ZSz85
「排列」和「組合」的符號是「P」和「C」206Please respect copyright.PENANA627aUrZ2S7
運用「排列」和「組合」排班表206Please respect copyright.PENANAcED37ub6vi
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第四課 搞懂「離散值」和「標準差」206Please respect copyright.PENANAISx7OP6yWI
資訊分析的基礎是找到「數據的規則」206Please respect copyright.PENANAgbzQMeuodY
兩個步驟找出離散程度206Please respect copyright.PENANAkIPw83ZlvP
平均、分散、標準差的深~度關係206Please respect copyright.PENANAktona9oToy
平均、離散、標準差的記號206Please respect copyright.PENANAd0SlDJbIYL
試著用Excel計算標準差206Please respect copyright.PENANAUQS31dgFIt
也把「偏差值」的計算公式記起來206Please respect copyright.PENANAzNz0Xc5avC
附註內容①深奧的平均世界206Please respect copyright.PENANAQyQPY6EDLe
附註內容②平均值、中位數、眾數206Please respect copyright.PENANAepTtz1Duq5
206Please respect copyright.PENANARR3Cl0YtIJ
第三天 超爽快!掌握高中文組數學的「分析」!206Please respect copyright.PENANA0gxexdvHmP
第一課 豁然開朗!函數的世界206Please respect copyright.PENANAYYt351Xm9C
函數與方程式的差別?206Please respect copyright.PENANARZzoqam2Vy
高中數學的4種函數206Please respect copyright.PENANAMmRx0n4N3k
Column少年西成的理科腦情書206Please respect copyright.PENANAnbwh27Xu0V
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第二課 來複習二次函數!206Please respect copyright.PENANAuPPmAkLgd1
速速複習!二次方程式206Please respect copyright.PENANAlyOW0o6KK2
畫出二次函數的圖形!206Please respect copyright.PENANAMxmaafWwQO
Column 物理學家是名偵探206Please respect copyright.PENANAWqA1S8HSIW
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第三課 指數函數超好用!206Please respect copyright.PENANADE3z5oKzci
記住指數函數的相關用語206Please respect copyright.PENANA7ByGCeMhpB
基本規則①乘冪相乘時,指數相加206Please respect copyright.PENANARyNnAfDwwn
基本規則②乘冪再乘冪時,指數相乘206Please respect copyright.PENANAcYNDfdtDMN
基本規則③乘冪相除時,指數相減206Please respect copyright.PENANAIYwhwpwPfx
指數是負數時會怎樣?206Please respect copyright.PENANAE4n5036Key
指數是「0」的時候會怎樣?206Please respect copyright.PENANArTdXwp8UaQ
根號可以轉換成指數運算206Please respect copyright.PENANAQ9K2VHlnQ7
統整指數運算的處理方式206Please respect copyright.PENANARUmJpba1tt
將指數函數做成圖形看看!206Please respect copyright.PENANAVHFoHnIjeS
順便來談談「對數函數」的內容206Please respect copyright.PENANAZWyUl4oXYA
天文數字也可以處理的對數函數206Please respect copyright.PENANArAzlf8YJrN
指數函數與音樂的深~度關係206Please respect copyright.PENANAD2AwvCkOE5
用iPhone計算指數函數的方法206Please respect copyright.PENANA43OOLDzR8b
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第四天 秒懂高中數學的「幾何」精髓!206Please respect copyright.PENANAA7RecQEsbP
第一課 不再霧煞煞的「三角比」206Please respect copyright.PENANAOfL6zBdtdA
以餘弦定理搞懂三角形206Please respect copyright.PENANA8lbBpTKJti
畫三角形的「西成流」作法206Please respect copyright.PENANApMocE8fR3O
sin、cos、tan是指「邊長比」206Please respect copyright.PENANAyKz0xwppe1
忘掉tan的存在吧!206Please respect copyright.PENANALXnnbCGl1b
直角三角形的定義中必要的θ206Please respect copyright.PENANAnV87ITb6VN
三角比經常出現的陷阱題206Please respect copyright.PENANAaHRfxLMMU1
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第二課 俐落導出餘弦定理公式206Please respect copyright.PENANAOVsaKaMS8v
用三角比可以做的事206Please respect copyright.PENANASqxGPe14uj
導出餘弦定理①事前準備206Please respect copyright.PENANAWTX9ZWwgYj
導出餘弦定理②成立公式、解開206Please respect copyright.PENANAo4Km9XBYQT
導出餘弦定理③證明sin2θ+ cos2θ= 1206Please respect copyright.PENANAJA60J4W8XS
導出餘弦定理④完成206Please respect copyright.PENANAgOLIlBhUuR
餘弦定理與畢氏定理的關係206Please respect copyright.PENANAhc1nMHFbYY
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第三課 學習最後的分析工具「三角函數」!206Please respect copyright.PENANAU9iMRoqsgm
三角函數只是將θ與y的關係圖像化206Please respect copyright.PENANAuGfOz2L0Sa
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第五天 特別課程①:幾何的最終武器「向量」!206Please respect copyright.PENANAa657O8eBk6
第一課 偉大的「向量」206Please respect copyright.PENANAzh7iUrTsBg
用代數解幾何問題!?206Please respect copyright.PENANAtH44od5ZSE
「短短數行」就能證明餘弦定理206Please respect copyright.PENANAVzTqrdaFsM
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第二課 了解「向量」的超嶄新概念206Please respect copyright.PENANAD8dm2jOvzO
向量是集結兩種資訊的「特殊容器」206Please respect copyright.PENANALHBFNBwAYH
眾所熟知的「純量」206Please respect copyright.PENANAPWyQDfSW8j
數據時代的主角「張量」206Please respect copyright.PENANAdKa0MygQxt
為什麼我們需要向量?206Please respect copyright.PENANAHxdrOFkwc4
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第三課 「向量」是用箭頭當作記號唷206Please respect copyright.PENANAefd9IK0DYY
向量的書寫規則206Please respect copyright.PENANAC2r3jOC5HZ
張量的畫法206Please respect copyright.PENANAYvasL8xFIU
試著把向量畫成圖206Please respect copyright.PENANAC98JoFOQki
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第四課 「向量」的計算超簡單!206Please respect copyright.PENANAyzoELqPPIL
來算算向量的加法吧206Please respect copyright.PENANATA3MKUg3eI
也來算算向量的減法206Please respect copyright.PENANAX9sarn2uOE
試著分解向量吧206Please respect copyright.PENANA8U1R2zvEWD
試著挑戰向量的乘法206Please respect copyright.PENANAbkVYpNSw4k
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第五課 靠「向量」秒殺餘弦定理!206Please respect copyright.PENANAGOdVPb3thn
用向量瞬間導出餘弦定理!206Please respect copyright.PENANAI8cAWIzbJP
不論幾次元都能處理的向量206Please respect copyright.PENANAuy0zfSbfND
Column少年來了!(前篇)206Please respect copyright.PENANAuWnQFWTlCl
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第6天 特別課程②:用「微積分」預測未來!206Please respect copyright.PENANAV3xHEgRaeL
第一課 人類的寶物!了解微分積分206Please respect copyright.PENANAX5yt3rtn4J
微分積分與函數的關係206Please respect copyright.PENANAuaWnxnco4N
今天的主題是「三角形面積」206Please respect copyright.PENANANHTd2eraEs
牛頓VS萊布尼茲的仁義之戰206Please respect copyright.PENANAjVMtPX6AiF
怎麼區分最合適?206Please respect copyright.PENANAM0Il23Rqa2
用微積分計算三角形的面積!206Please respect copyright.PENANAQbYYI95wEl
來認識微分積分的符號206Please respect copyright.PENANAdrvfFxbK4W
Column少年來了!(後篇)206Please respect copyright.PENANAKjAvKrm3ll
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第二課 用Excel預測未來!206Please respect copyright.PENANAxRV3376y4d
現代人,用Excel就能預測未來206Please respect copyright.PENANAnyovJyZsRT
掌握Excel的使用方法!206Please respect copyright.PENANAEcsdRfcPGy
「數學家」、「AI」、「統計學家」的差別206Please respect copyright.PENANATfCpKGK7p9
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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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