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
65Please respect copyright.PENANAxv0K4hEhAG
目錄
前言65Please respect copyright.PENANAKEa9aiiaH8
登場人物介紹65Please respect copyright.PENANAMCUfWtFAkV
65Please respect copyright.PENANAfm8DOcCDtS
第一天 數學的樂趣在哪裡?65Please respect copyright.PENANA1kIpgOTBwD
第一課 其實並不可怕的高中數學65Please respect copyright.PENANAlqDia2U7sK
好想學真正實用的數學!65Please respect copyright.PENANAjE3msP6cL4
高中數學比國中數學還簡單!?65Please respect copyright.PENANAqADEd2QxzV
65Please respect copyright.PENANAOVKCwO8T38
第二課 超精簡的創新數學課!65Please respect copyright.PENANAn8PbqlIGvL
果斷刪去八成教科書內容!65Please respect copyright.PENANAMAE83kSHbB
世界首創!「西成流」數學分類法65Please respect copyright.PENANANnyyw1hbHs
高中數學中最輕鬆的是「代數」65Please respect copyright.PENANAff3IERCRXJ
高中數學的顛峰是「微分積分」65Please respect copyright.PENANAaxq0vCqIoJ
超好用的工具「餘弦定理」65Please respect copyright.PENANAwFRzd7thyj
真正的幾何大魔王是「向量」65Please respect copyright.PENANAjrVJZAfYds
Column文組無法理解數學的理由65Please respect copyright.PENANAt4j5iT2lX0
65Please respect copyright.PENANAXonFqT0un0
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!65Please respect copyright.PENANALtkFyL813q
第一課 速速學會統計學基礎65Please respect copyright.PENANAeEmjf3VdkL
數據處理的3大必備條件65Please respect copyright.PENANAjJ5hEsKTqp
為什麼增加個數很好用?65Please respect copyright.PENANAy1CZR2kTBA
「排列組合」是指什麼?65Please respect copyright.PENANAeN0SAms8zn
看離散程度的「標準差」65Please respect copyright.PENANAQj5PIhgaVi
65Please respect copyright.PENANAPHtBpP1rVv
第二課 記住「數列相加」的方法65Please respect copyright.PENANAqN4EXWIYPR
天才高斯少年發現的「倒序相加」65Please respect copyright.PENANABWpDfpXVTC
超好用!任何等差數列都能用65Please respect copyright.PENANA6GafFnwbkD
嚴禁直接死背公式!65Please respect copyright.PENANAbFrqaxQEtt
導出等差數列和的公式65Please respect copyright.PENANAcHqTt8H5t3
豐臣秀吉被擺了一道!數學變黃金的故事65Please respect copyright.PENANA7a2T6QhHUj
等比數列是「相乘後錯位相減」65Please respect copyright.PENANAWPJoM7qy0V
導出等比數列和的公式65Please respect copyright.PENANAk5oeFC5Ngg
先知道處理數列和的符號!65Please respect copyright.PENANArjWlKCaMBV
Column把數學記號當作是念魔咒65Please respect copyright.PENANAjsFBjs3E0h
65Please respect copyright.PENANAgtVd0Cf6Fl
第三課 記住「排列組合法」65Please respect copyright.PENANAmjhq9xqEQy
從賽馬了解「排列」與「組合」65Please respect copyright.PENANA6hITGMOGHy
Step①了解階乘的計算方法65Please respect copyright.PENANApWDrQ9P9oR
Step②了解排列的計算方法65Please respect copyright.PENANAzIvPXXl4DS
Step③了解組合的計算方法65Please respect copyright.PENANAcECqrlrsf6
了解「排列」與「組合」的式子65Please respect copyright.PENANARUCaBaeNdW
「排列」和「組合」的符號是「P」和「C」65Please respect copyright.PENANAy2ZGSdm9P7
運用「排列」和「組合」排班表65Please respect copyright.PENANArRbCUSDQST
65Please respect copyright.PENANAlwntZsy5eN
第四課 搞懂「離散值」和「標準差」65Please respect copyright.PENANA1uAk0gOjCx
資訊分析的基礎是找到「數據的規則」65Please respect copyright.PENANAO9LJU8ckBn
兩個步驟找出離散程度65Please respect copyright.PENANA5B2BEpqopt
平均、分散、標準差的深~度關係65Please respect copyright.PENANAjzq7xg8auy
平均、離散、標準差的記號65Please respect copyright.PENANADLXqGAIety
試著用Excel計算標準差65Please respect copyright.PENANAOuXn6x7IZU
也把「偏差值」的計算公式記起來65Please respect copyright.PENANAGxJjFQPdj1
附註內容①深奧的平均世界65Please respect copyright.PENANAxSmHCpWVcq
附註內容②平均值、中位數、眾數65Please respect copyright.PENANA4qNbWLSUss
65Please respect copyright.PENANAav05BTPcYl
第三天 超爽快!掌握高中文組數學的「分析」!65Please respect copyright.PENANA8HtUaNrR9M
第一課 豁然開朗!函數的世界65Please respect copyright.PENANAtSGmTkyzMe
函數與方程式的差別?65Please respect copyright.PENANAR1jRtqxEbx
高中數學的4種函數65Please respect copyright.PENANAUvd18mbvlZ
Column少年西成的理科腦情書65Please respect copyright.PENANAbWg25O52q1
65Please respect copyright.PENANArBHg4XZDRF
第二課 來複習二次函數!65Please respect copyright.PENANAdewT8ESB4S
速速複習!二次方程式65Please respect copyright.PENANAxvlb7lbdkF
畫出二次函數的圖形!65Please respect copyright.PENANAG95eT56Pds
Column 物理學家是名偵探65Please respect copyright.PENANAzlolwAeyhL
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第三課 指數函數超好用!65Please respect copyright.PENANA1FnLNoXJhv
記住指數函數的相關用語65Please respect copyright.PENANAi2WwPdb0cR
基本規則①乘冪相乘時,指數相加65Please respect copyright.PENANAFuFWkksAIv
基本規則②乘冪再乘冪時,指數相乘65Please respect copyright.PENANACZ6WMhpVde
基本規則③乘冪相除時,指數相減65Please respect copyright.PENANAAnW9wv6liS
指數是負數時會怎樣?65Please respect copyright.PENANAMNaBsauUIe
指數是「0」的時候會怎樣?65Please respect copyright.PENANAjBFoxDPP5i
根號可以轉換成指數運算65Please respect copyright.PENANA3FvuMoZKh2
統整指數運算的處理方式65Please respect copyright.PENANA0xKVtqDEti
將指數函數做成圖形看看!65Please respect copyright.PENANAPHzLRZqCpq
順便來談談「對數函數」的內容65Please respect copyright.PENANAiFLaEdrdFc
天文數字也可以處理的對數函數65Please respect copyright.PENANAwMK2hbvqDI
指數函數與音樂的深~度關係65Please respect copyright.PENANAifSh0H8Npv
用iPhone計算指數函數的方法65Please respect copyright.PENANAHcL7kkk9pk
65Please respect copyright.PENANAtlEbTxpbpc
第四天 秒懂高中數學的「幾何」精髓!65Please respect copyright.PENANAzXn2BdrjkX
第一課 不再霧煞煞的「三角比」65Please respect copyright.PENANARF07dii7B3
以餘弦定理搞懂三角形65Please respect copyright.PENANAF2IC0230rf
畫三角形的「西成流」作法65Please respect copyright.PENANAlwzjgVq4A9
sin、cos、tan是指「邊長比」65Please respect copyright.PENANAlcMN7iQJO3
忘掉tan的存在吧!65Please respect copyright.PENANAfrUkoaBdLg
直角三角形的定義中必要的θ65Please respect copyright.PENANAu64mHqItD5
三角比經常出現的陷阱題65Please respect copyright.PENANARNBFd4peqz
65Please respect copyright.PENANAANWy66irsd
第二課 俐落導出餘弦定理公式65Please respect copyright.PENANANXfXTB2qtu
用三角比可以做的事65Please respect copyright.PENANAbWQRT9HvJJ
導出餘弦定理①事前準備65Please respect copyright.PENANAeuA9540tmR
導出餘弦定理②成立公式、解開65Please respect copyright.PENANAEsbFg4PECX
導出餘弦定理③證明sin2θ+ cos2θ= 165Please respect copyright.PENANAkZeFg5uOBd
導出餘弦定理④完成65Please respect copyright.PENANAIbS9RIqTqd
餘弦定理與畢氏定理的關係65Please respect copyright.PENANAxqnffIjZ4c
65Please respect copyright.PENANAdP1lCVtN8v
第三課 學習最後的分析工具「三角函數」!65Please respect copyright.PENANA8SuVLdeu8t
三角函數只是將θ與y的關係圖像化65Please respect copyright.PENANAOzu9R87sSE
65Please respect copyright.PENANAAZp2R42fa8
第五天 特別課程①:幾何的最終武器「向量」!65Please respect copyright.PENANAla22XD3VgV
第一課 偉大的「向量」65Please respect copyright.PENANAWtwUpVCFbO
用代數解幾何問題!?65Please respect copyright.PENANA6RZLqiehZC
「短短數行」就能證明餘弦定理65Please respect copyright.PENANAGu8m6HI9Pb
65Please respect copyright.PENANAvpxXESMTBK
第二課 了解「向量」的超嶄新概念65Please respect copyright.PENANAVR1rghJR9U
向量是集結兩種資訊的「特殊容器」65Please respect copyright.PENANATSsRGMcAns
眾所熟知的「純量」65Please respect copyright.PENANA3tNVrnTSN7
數據時代的主角「張量」65Please respect copyright.PENANABvzDh5R8Ti
為什麼我們需要向量?65Please respect copyright.PENANAr5vs3Mf5d0
65Please respect copyright.PENANAqfRFOjxiqj
第三課 「向量」是用箭頭當作記號唷65Please respect copyright.PENANA0xkIKbUNWt
向量的書寫規則65Please respect copyright.PENANAnwHMLhgark
張量的畫法65Please respect copyright.PENANAzcQww3p3bH
試著把向量畫成圖65Please respect copyright.PENANAOKMRoIyv8b
65Please respect copyright.PENANA04MO5jYTBQ
第四課 「向量」的計算超簡單!65Please respect copyright.PENANAWKs9WzpUQO
來算算向量的加法吧65Please respect copyright.PENANA50B8BdH2Mq
也來算算向量的減法65Please respect copyright.PENANAEFjy4Q8DyS
試著分解向量吧65Please respect copyright.PENANArs5tDTcpQn
試著挑戰向量的乘法65Please respect copyright.PENANAvSkeFSOjjW
65Please respect copyright.PENANADalJBbiLaE
第五課 靠「向量」秒殺餘弦定理!65Please respect copyright.PENANAse8jLYkWcX
用向量瞬間導出餘弦定理!65Please respect copyright.PENANAZpUOfozUoc
不論幾次元都能處理的向量65Please respect copyright.PENANApLzvnvV975
Column少年來了!(前篇)65Please respect copyright.PENANA0F6uCkbWPx
65Please respect copyright.PENANAW9OeKUNBjz
第6天 特別課程②:用「微積分」預測未來!65Please respect copyright.PENANAKcurdISoKU
第一課 人類的寶物!了解微分積分65Please respect copyright.PENANAZiZZnic7Ti
微分積分與函數的關係65Please respect copyright.PENANA78ECrWxwtf
今天的主題是「三角形面積」65Please respect copyright.PENANASaoAXf2rYe
牛頓VS萊布尼茲的仁義之戰65Please respect copyright.PENANAUqcawCCSCH
怎麼區分最合適?65Please respect copyright.PENANAtCU7S2Z2hU
用微積分計算三角形的面積!65Please respect copyright.PENANARbZN80YCcK
來認識微分積分的符號65Please respect copyright.PENANAsQzVix6qC3
Column少年來了!(後篇)65Please respect copyright.PENANAcxmOJlRu3p
65Please respect copyright.PENANA0EXrSfM9js
第二課 用Excel預測未來!65Please respect copyright.PENANAKr7Raup7EN
現代人,用Excel就能預測未來65Please respect copyright.PENANAVPJ1y2mOxS
掌握Excel的使用方法!65Please respect copyright.PENANAMU3HV3tJgM
「數學家」、「AI」、「統計學家」的差別65Please respect copyright.PENANASicUwT3wsD
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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》
65Please respect copyright.PENANAq8jQUCr3cw
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。
65Please respect copyright.PENANA0pVJ19WTto
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。
65Please respect copyright.PENANAyMgFZ737zR
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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65Please respect copyright.PENANAq3HU8AXWgC
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。
65Please respect copyright.PENANApsjXArIOWn
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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65Please respect copyright.PENANAbtfSYH4ISF
【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/165070465Please respect copyright.PENANA05VmPgzUqQ