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152Please respect copyright.PENANADKQMavqMxC
登場人物介紹152Please respect copyright.PENANAvpcN0rBxT8
152Please respect copyright.PENANAmJOHk54kRN
第一天 數學的樂趣在哪裡?152Please respect copyright.PENANAfQfqgcdBsg
第一課 其實並不可怕的高中數學152Please respect copyright.PENANArWeP9BL5P3
好想學真正實用的數學!152Please respect copyright.PENANAWHt9BaTbKf
高中數學比國中數學還簡單!?152Please respect copyright.PENANAo3JJe6gO30
152Please respect copyright.PENANAMbK6zmMJI6
第二課 超精簡的創新數學課!152Please respect copyright.PENANAQVtctd0dmO
果斷刪去八成教科書內容!152Please respect copyright.PENANAToO6BSU9Ag
世界首創!「西成流」數學分類法152Please respect copyright.PENANAJPEEjcXR6E
高中數學中最輕鬆的是「代數」152Please respect copyright.PENANAxtwqDFHxsO
高中數學的顛峰是「微分積分」152Please respect copyright.PENANAIdgJMddWOQ
超好用的工具「餘弦定理」152Please respect copyright.PENANANxDtjuCQlf
真正的幾何大魔王是「向量」152Please respect copyright.PENANAaKPHyINgQj
Column文組無法理解數學的理由152Please respect copyright.PENANApUPGYGIDEk
152Please respect copyright.PENANAJQlHfBwJaW
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!152Please respect copyright.PENANAv3pUxaGZaD
第一課 速速學會統計學基礎152Please respect copyright.PENANAAEHvSol4MQ
數據處理的3大必備條件152Please respect copyright.PENANAZAAwnPcB3B
為什麼增加個數很好用?152Please respect copyright.PENANAz8oVN05YI4
「排列組合」是指什麼?152Please respect copyright.PENANALlnxvDxvUL
看離散程度的「標準差」152Please respect copyright.PENANABWgKw2pw2d
152Please respect copyright.PENANAA0jxxz9F0C
第二課 記住「數列相加」的方法152Please respect copyright.PENANAcFMgEqk3cB
天才高斯少年發現的「倒序相加」152Please respect copyright.PENANAuR9L8Qec4B
超好用!任何等差數列都能用152Please respect copyright.PENANA2NzRjpyEvr
嚴禁直接死背公式!152Please respect copyright.PENANA7yXtq8TbmG
導出等差數列和的公式152Please respect copyright.PENANABCHTn9SoP1
豐臣秀吉被擺了一道!數學變黃金的故事152Please respect copyright.PENANACzc1xeJbr6
等比數列是「相乘後錯位相減」152Please respect copyright.PENANAy39e7mZO6V
導出等比數列和的公式152Please respect copyright.PENANAVR01HCZq1C
先知道處理數列和的符號!152Please respect copyright.PENANAZ14vOdfOXH
Column把數學記號當作是念魔咒152Please respect copyright.PENANAKonj8mJ8IH
152Please respect copyright.PENANAOWSM7qWvcs
第三課 記住「排列組合法」152Please respect copyright.PENANAdeyZBcPskm
從賽馬了解「排列」與「組合」152Please respect copyright.PENANAdG8dTJdzxM
Step①了解階乘的計算方法152Please respect copyright.PENANATgMt0Y1oqj
Step②了解排列的計算方法152Please respect copyright.PENANALFz9qpbxVD
Step③了解組合的計算方法152Please respect copyright.PENANABBl7nYJ6k1
了解「排列」與「組合」的式子152Please respect copyright.PENANAvETAc2nsS3
「排列」和「組合」的符號是「P」和「C」152Please respect copyright.PENANAAlD4RBG4ak
運用「排列」和「組合」排班表152Please respect copyright.PENANAjIB3WIxQzS
152Please respect copyright.PENANAB4ktTYOYSn
第四課 搞懂「離散值」和「標準差」152Please respect copyright.PENANAKAcAmXSzYw
資訊分析的基礎是找到「數據的規則」152Please respect copyright.PENANAUqUq9hfTJQ
兩個步驟找出離散程度152Please respect copyright.PENANAEpJFJkjvi3
平均、分散、標準差的深~度關係152Please respect copyright.PENANAUJOi8VVtE2
平均、離散、標準差的記號152Please respect copyright.PENANARccFqU64wD
試著用Excel計算標準差152Please respect copyright.PENANARkQ0m355Xe
也把「偏差值」的計算公式記起來152Please respect copyright.PENANA1faKzX4bQU
附註內容①深奧的平均世界152Please respect copyright.PENANAc5p9Nct5K9
附註內容②平均值、中位數、眾數152Please respect copyright.PENANAhWnOsfKXW7
152Please respect copyright.PENANAFMRcjuhpG0
第三天 超爽快!掌握高中文組數學的「分析」!152Please respect copyright.PENANAyltM1HEPsD
第一課 豁然開朗!函數的世界152Please respect copyright.PENANAkq31ULr6Dx
函數與方程式的差別?152Please respect copyright.PENANADtFXXn3Whh
高中數學的4種函數152Please respect copyright.PENANA4TzNbGwuzv
Column少年西成的理科腦情書152Please respect copyright.PENANA91ENJz4sEi
152Please respect copyright.PENANAyCkXE8tqzB
第二課 來複習二次函數!152Please respect copyright.PENANAQb3boiwfa0
速速複習!二次方程式152Please respect copyright.PENANAkGLhodWcoL
畫出二次函數的圖形!152Please respect copyright.PENANAbto0MlLegH
Column 物理學家是名偵探152Please respect copyright.PENANAoaSzwfoNVk
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第三課 指數函數超好用!152Please respect copyright.PENANAv2Z2SYqJ2k
記住指數函數的相關用語152Please respect copyright.PENANARAorWkk7x5
基本規則①乘冪相乘時,指數相加152Please respect copyright.PENANAI7V6omgU0k
基本規則②乘冪再乘冪時,指數相乘152Please respect copyright.PENANAzW6KWiRaTO
基本規則③乘冪相除時,指數相減152Please respect copyright.PENANA0zP73aTIWx
指數是負數時會怎樣?152Please respect copyright.PENANAyiQtsilVNz
指數是「0」的時候會怎樣?152Please respect copyright.PENANAt15xYyr3uc
根號可以轉換成指數運算152Please respect copyright.PENANARMBbq84Iwh
統整指數運算的處理方式152Please respect copyright.PENANAiPdIQ1SFJL
將指數函數做成圖形看看!152Please respect copyright.PENANA698KTmTZmF
順便來談談「對數函數」的內容152Please respect copyright.PENANA7dR6jrR0Y4
天文數字也可以處理的對數函數152Please respect copyright.PENANAubXoN4SFXv
指數函數與音樂的深~度關係152Please respect copyright.PENANA0q2TEXWE8O
用iPhone計算指數函數的方法152Please respect copyright.PENANAsKpe2nyWPO
152Please respect copyright.PENANAT5FrFMuy0i
第四天 秒懂高中數學的「幾何」精髓!152Please respect copyright.PENANAKAxhA4uour
第一課 不再霧煞煞的「三角比」152Please respect copyright.PENANAkemFUT91H1
以餘弦定理搞懂三角形152Please respect copyright.PENANAOMZMnoMxWH
畫三角形的「西成流」作法152Please respect copyright.PENANAo6XGjYkDms
sin、cos、tan是指「邊長比」152Please respect copyright.PENANAESahu7Ubi7
忘掉tan的存在吧!152Please respect copyright.PENANAdpADG02QYl
直角三角形的定義中必要的θ152Please respect copyright.PENANAEm4b16Z5j7
三角比經常出現的陷阱題152Please respect copyright.PENANA2PSQgVfQMB
152Please respect copyright.PENANAAmIJFc1Kq5
第二課 俐落導出餘弦定理公式152Please respect copyright.PENANAKnnrZ8Zalw
用三角比可以做的事152Please respect copyright.PENANAMguhFapg6L
導出餘弦定理①事前準備152Please respect copyright.PENANArnjSQELTed
導出餘弦定理②成立公式、解開152Please respect copyright.PENANASoNDQdcrlM
導出餘弦定理③證明sin2θ+ cos2θ= 1152Please respect copyright.PENANAlsRaU908Uk
導出餘弦定理④完成152Please respect copyright.PENANAzwihEZXlPC
餘弦定理與畢氏定理的關係152Please respect copyright.PENANAkylMqbLXz3
152Please respect copyright.PENANADdd3iWQGxZ
第三課 學習最後的分析工具「三角函數」!152Please respect copyright.PENANAy2SzNQzaWZ
三角函數只是將θ與y的關係圖像化152Please respect copyright.PENANAUEPKRSa5nQ
152Please respect copyright.PENANArkAN1DgRta
第五天 特別課程①:幾何的最終武器「向量」!152Please respect copyright.PENANADEJVk7zkKH
第一課 偉大的「向量」152Please respect copyright.PENANAAKSZYGcvmg
用代數解幾何問題!?152Please respect copyright.PENANA0eE3oK22b5
「短短數行」就能證明餘弦定理152Please respect copyright.PENANAbplVYzsmVn
152Please respect copyright.PENANAzuA1xHVsIs
第二課 了解「向量」的超嶄新概念152Please respect copyright.PENANA8NL44w7L6F
向量是集結兩種資訊的「特殊容器」152Please respect copyright.PENANApofhRn4PQw
眾所熟知的「純量」152Please respect copyright.PENANA8SiJSNhCKB
數據時代的主角「張量」152Please respect copyright.PENANAObJeNOh9hA
為什麼我們需要向量?152Please respect copyright.PENANAk8c3RUbgZP
152Please respect copyright.PENANAeF06SiOCfR
第三課 「向量」是用箭頭當作記號唷152Please respect copyright.PENANAlAE7q0avye
向量的書寫規則152Please respect copyright.PENANAGgGn4nGDIn
張量的畫法152Please respect copyright.PENANA4TZMzRNSoW
試著把向量畫成圖152Please respect copyright.PENANApB1gYUtq4Q
152Please respect copyright.PENANAxbEvTLEmX4
第四課 「向量」的計算超簡單!152Please respect copyright.PENANAyTBzVX4lTE
來算算向量的加法吧152Please respect copyright.PENANAEwMsfA3IOr
也來算算向量的減法152Please respect copyright.PENANAnKROhNGkGc
試著分解向量吧152Please respect copyright.PENANA9FzWfm2Lfb
試著挑戰向量的乘法152Please respect copyright.PENANAc0INsJI7ZK
152Please respect copyright.PENANAWvTlz0Fmyt
第五課 靠「向量」秒殺餘弦定理!152Please respect copyright.PENANA1h9Qt4tVoZ
用向量瞬間導出餘弦定理!152Please respect copyright.PENANAy83580bRHp
不論幾次元都能處理的向量152Please respect copyright.PENANAgXMUzfAHtu
Column少年來了!(前篇)152Please respect copyright.PENANA31w6cxBHr3
152Please respect copyright.PENANAnBRRSQY4Hy
第6天 特別課程②:用「微積分」預測未來!152Please respect copyright.PENANAntl7McD38h
第一課 人類的寶物!了解微分積分152Please respect copyright.PENANAIjopyckXmr
微分積分與函數的關係152Please respect copyright.PENANAGmVCZIiHAx
今天的主題是「三角形面積」152Please respect copyright.PENANA1bfNUPPBO9
牛頓VS萊布尼茲的仁義之戰152Please respect copyright.PENANAQYABSdesFj
怎麼區分最合適?152Please respect copyright.PENANAFoEaVWt4ZU
用微積分計算三角形的面積!152Please respect copyright.PENANA9Wj29ZLRSB
來認識微分積分的符號152Please respect copyright.PENANAbM6kwWi0ga
Column少年來了!(後篇)152Please respect copyright.PENANA9GoNBlDeKZ
152Please respect copyright.PENANAkf1T9JIZIV
第二課 用Excel預測未來!152Please respect copyright.PENANAv30nFQ5GgZ
現代人,用Excel就能預測未來152Please respect copyright.PENANAwG7F1CvWih
掌握Excel的使用方法!152Please respect copyright.PENANA9qxwPT3Vda
「數學家」、「AI」、「統計學家」的差別152Please respect copyright.PENANAFKRG3qcsK7
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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》
152Please respect copyright.PENANAWSyLnFFfte
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。
152Please respect copyright.PENANAYyYJrUsuLH
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。
152Please respect copyright.PENANAQ2dyTZ8hXm
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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【創挑出處】
https://www.penana.com/article/1650704152Please respect copyright.PENANAbHLqgmZSoO