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95Please respect copyright.PENANAYCBRNxbRa6
登場人物介紹95Please respect copyright.PENANAWZbxzFw6R3
95Please respect copyright.PENANAmdrPoQQuMk
第一天 數學的樂趣在哪裡?95Please respect copyright.PENANAs5JRyuLqEZ
第一課 其實並不可怕的高中數學95Please respect copyright.PENANA8qjujzrm1v
好想學真正實用的數學!95Please respect copyright.PENANA8Nhrfl6dyv
高中數學比國中數學還簡單!?95Please respect copyright.PENANAV3NWIwLUP3
95Please respect copyright.PENANAEVhBEjf1rk
第二課 超精簡的創新數學課!95Please respect copyright.PENANApEjLI9SIax
果斷刪去八成教科書內容!95Please respect copyright.PENANAHti69B6Ga4
世界首創!「西成流」數學分類法95Please respect copyright.PENANAETkyVPL4YW
高中數學中最輕鬆的是「代數」95Please respect copyright.PENANAtKnr7RGKOW
高中數學的顛峰是「微分積分」95Please respect copyright.PENANAbrH6DAxQTu
超好用的工具「餘弦定理」95Please respect copyright.PENANATPyib1pbut
真正的幾何大魔王是「向量」95Please respect copyright.PENANAJpk2TP2XQ4
Column文組無法理解數學的理由95Please respect copyright.PENANAFt0z7Hr9o8
95Please respect copyright.PENANAZvjaRrJ15A
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!95Please respect copyright.PENANAzD47kU8694
第一課 速速學會統計學基礎95Please respect copyright.PENANAIIF832M2If
數據處理的3大必備條件95Please respect copyright.PENANAS9MwjsNUAB
為什麼增加個數很好用?95Please respect copyright.PENANAmzjS9iiAmQ
「排列組合」是指什麼?95Please respect copyright.PENANAZbyXeBlrAN
看離散程度的「標準差」95Please respect copyright.PENANAHh6Lb7t9KT
95Please respect copyright.PENANATtwGf9KAzK
第二課 記住「數列相加」的方法95Please respect copyright.PENANAfmL2zCu2dR
天才高斯少年發現的「倒序相加」95Please respect copyright.PENANAbebiIWm35O
超好用!任何等差數列都能用95Please respect copyright.PENANAQu9ruUaHtH
嚴禁直接死背公式!95Please respect copyright.PENANAniCnnH8MXH
導出等差數列和的公式95Please respect copyright.PENANA6593gpX3BU
豐臣秀吉被擺了一道!數學變黃金的故事95Please respect copyright.PENANAbfj1o8lq5d
等比數列是「相乘後錯位相減」95Please respect copyright.PENANANF4QG58yXU
導出等比數列和的公式95Please respect copyright.PENANAIrCjS8rXOc
先知道處理數列和的符號!95Please respect copyright.PENANAuTJ09AJjuh
Column把數學記號當作是念魔咒95Please respect copyright.PENANAs44F5q1dje
95Please respect copyright.PENANA0IjVmX4ix1
第三課 記住「排列組合法」95Please respect copyright.PENANATJ41GDQOQA
從賽馬了解「排列」與「組合」95Please respect copyright.PENANASs7owSL1Yu
Step①了解階乘的計算方法95Please respect copyright.PENANADUlFlRBXn8
Step②了解排列的計算方法95Please respect copyright.PENANAPBaOsAX3Z1
Step③了解組合的計算方法95Please respect copyright.PENANA4RbcA6uiKb
了解「排列」與「組合」的式子95Please respect copyright.PENANA56oemUJ4LV
「排列」和「組合」的符號是「P」和「C」95Please respect copyright.PENANA3YBiyuPE2l
運用「排列」和「組合」排班表95Please respect copyright.PENANAgKkLR5iefE
95Please respect copyright.PENANAqa7wck1awd
第四課 搞懂「離散值」和「標準差」95Please respect copyright.PENANAtXpP0Oo1Jt
資訊分析的基礎是找到「數據的規則」95Please respect copyright.PENANAtIfzWHdTQD
兩個步驟找出離散程度95Please respect copyright.PENANAXPMKtHDTgi
平均、分散、標準差的深~度關係95Please respect copyright.PENANAGIX0PWjAbX
平均、離散、標準差的記號95Please respect copyright.PENANAgAiomze7RY
試著用Excel計算標準差95Please respect copyright.PENANAx9SvcRkSVH
也把「偏差值」的計算公式記起來95Please respect copyright.PENANADTlZ2pDWor
附註內容①深奧的平均世界95Please respect copyright.PENANAeBe3RMB10u
附註內容②平均值、中位數、眾數95Please respect copyright.PENANAuYXFQ8kBSg
95Please respect copyright.PENANAC1ski6cjxa
第三天 超爽快!掌握高中文組數學的「分析」!95Please respect copyright.PENANAzoONNcKVb4
第一課 豁然開朗!函數的世界95Please respect copyright.PENANAQ116lNkaZp
函數與方程式的差別?95Please respect copyright.PENANATeZ3sXe17L
高中數學的4種函數95Please respect copyright.PENANAEFb18uBaD8
Column少年西成的理科腦情書95Please respect copyright.PENANAf2y7xW9ZJw
95Please respect copyright.PENANAQybs3nMWlU
第二課 來複習二次函數!95Please respect copyright.PENANAshcdw2SQae
速速複習!二次方程式95Please respect copyright.PENANA26dhFsmZGw
畫出二次函數的圖形!95Please respect copyright.PENANAxWqI4UV1kv
Column 物理學家是名偵探95Please respect copyright.PENANAjkG0qRNKv1
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第三課 指數函數超好用!95Please respect copyright.PENANAfHR78PWl48
記住指數函數的相關用語95Please respect copyright.PENANApW8DYv7e1S
基本規則①乘冪相乘時,指數相加95Please respect copyright.PENANAjqz1IKPmFW
基本規則②乘冪再乘冪時,指數相乘95Please respect copyright.PENANA2MO69c5kke
基本規則③乘冪相除時,指數相減95Please respect copyright.PENANACT7b7GnuzR
指數是負數時會怎樣?95Please respect copyright.PENANAUkmljZq8Wn
指數是「0」的時候會怎樣?95Please respect copyright.PENANA9DomTwvCz2
根號可以轉換成指數運算95Please respect copyright.PENANA4hFOqxzaPN
統整指數運算的處理方式95Please respect copyright.PENANAVnotKaEiW8
將指數函數做成圖形看看!95Please respect copyright.PENANAxwjuu2TSVD
順便來談談「對數函數」的內容95Please respect copyright.PENANAd99ClmAvgU
天文數字也可以處理的對數函數95Please respect copyright.PENANAKhn7P2ypTJ
指數函數與音樂的深~度關係95Please respect copyright.PENANAUlVsKKXBcA
用iPhone計算指數函數的方法95Please respect copyright.PENANAlf9QKbCTOq
95Please respect copyright.PENANAuMPBptH9yI
第四天 秒懂高中數學的「幾何」精髓!95Please respect copyright.PENANAQ0vgcmve2s
第一課 不再霧煞煞的「三角比」95Please respect copyright.PENANASiLxwwSshw
以餘弦定理搞懂三角形95Please respect copyright.PENANADHmyBed0xf
畫三角形的「西成流」作法95Please respect copyright.PENANAZXCzjM7MTu
sin、cos、tan是指「邊長比」95Please respect copyright.PENANAfcBep1BbAL
忘掉tan的存在吧!95Please respect copyright.PENANACSXvkx1ikM
直角三角形的定義中必要的θ95Please respect copyright.PENANAjmMQgP3gQu
三角比經常出現的陷阱題95Please respect copyright.PENANAbrwhhT4t5V
95Please respect copyright.PENANA1DOjwvmssd
第二課 俐落導出餘弦定理公式95Please respect copyright.PENANA28dZ4Pj0Yk
用三角比可以做的事95Please respect copyright.PENANA07M7Hsokqh
導出餘弦定理①事前準備95Please respect copyright.PENANAnBrF0ZlAS3
導出餘弦定理②成立公式、解開95Please respect copyright.PENANAtgn2UMHaVW
導出餘弦定理③證明sin2θ+ cos2θ= 195Please respect copyright.PENANA8HJmD36IKS
導出餘弦定理④完成95Please respect copyright.PENANAtVJbb12BWh
餘弦定理與畢氏定理的關係95Please respect copyright.PENANALchlMTFP8b
95Please respect copyright.PENANACBetX4VcCD
第三課 學習最後的分析工具「三角函數」!95Please respect copyright.PENANAy94xUAys81
三角函數只是將θ與y的關係圖像化95Please respect copyright.PENANAuO0lO91CIB
95Please respect copyright.PENANAYoG9t1eABj
第五天 特別課程①:幾何的最終武器「向量」!95Please respect copyright.PENANAJaV3xXFypd
第一課 偉大的「向量」95Please respect copyright.PENANAKWzmdQmgWv
用代數解幾何問題!?95Please respect copyright.PENANAJ0YrYSAKit
「短短數行」就能證明餘弦定理95Please respect copyright.PENANAD1vM8o38Pt
95Please respect copyright.PENANALQE5pJDDDx
第二課 了解「向量」的超嶄新概念95Please respect copyright.PENANA73Q3rlbG4j
向量是集結兩種資訊的「特殊容器」95Please respect copyright.PENANAUbPoAmne4Z
眾所熟知的「純量」95Please respect copyright.PENANAhqIZJAGM3b
數據時代的主角「張量」95Please respect copyright.PENANAMEINHB1c0Y
為什麼我們需要向量?95Please respect copyright.PENANAPRJt37SvNx
95Please respect copyright.PENANAuoa6zfbOXc
第三課 「向量」是用箭頭當作記號唷95Please respect copyright.PENANAoBGsU9fJ86
向量的書寫規則95Please respect copyright.PENANAO3M1euQQX7
張量的畫法95Please respect copyright.PENANAqJcZfHnrrx
試著把向量畫成圖95Please respect copyright.PENANA0mX47NDKst
95Please respect copyright.PENANA1wQx83D4s6
第四課 「向量」的計算超簡單!95Please respect copyright.PENANAxoFrl1EHmg
來算算向量的加法吧95Please respect copyright.PENANABufJi2AJMe
也來算算向量的減法95Please respect copyright.PENANAAwTnYGKgBe
試著分解向量吧95Please respect copyright.PENANAXH0XdESspH
試著挑戰向量的乘法95Please respect copyright.PENANALGWGbAQTzi
95Please respect copyright.PENANACpQz2DZJGL
第五課 靠「向量」秒殺餘弦定理!95Please respect copyright.PENANAQOgLwhBXfE
用向量瞬間導出餘弦定理!95Please respect copyright.PENANAtb5g6dGSZE
不論幾次元都能處理的向量95Please respect copyright.PENANANfjPWCoI3O
Column少年來了!(前篇)95Please respect copyright.PENANAPbkUU7qZgd
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第6天 特別課程②:用「微積分」預測未來!95Please respect copyright.PENANAUSWFl7Cc0n
第一課 人類的寶物!了解微分積分95Please respect copyright.PENANAwF1UzGiTZv
微分積分與函數的關係95Please respect copyright.PENANAi03RmJEjpW
今天的主題是「三角形面積」95Please respect copyright.PENANAGitB6sUVdL
牛頓VS萊布尼茲的仁義之戰95Please respect copyright.PENANAa6OQ8KHzus
怎麼區分最合適?95Please respect copyright.PENANApsoIyWO6jI
用微積分計算三角形的面積!95Please respect copyright.PENANAzmIBv8X3CI
來認識微分積分的符號95Please respect copyright.PENANAULpEUkB2PA
Column少年來了!(後篇)95Please respect copyright.PENANAnPvzlddmzZ
95Please respect copyright.PENANAc9eWOYDMoK
第二課 用Excel預測未來!95Please respect copyright.PENANAc97j74bwi7
現代人,用Excel就能預測未來95Please respect copyright.PENANAARbdH6pdTw
掌握Excel的使用方法!95Please respect copyright.PENANAZ5CpcL0And
「數學家」、「AI」、「統計學家」的差別95Please respect copyright.PENANAG1pa3Yg56L
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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》
95Please respect copyright.PENANAMOQIKCSO3o
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。
95Please respect copyright.PENANAW7ewUyxUNd
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。
95Please respect copyright.PENANAcyLrISczyT
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/165070495Please respect copyright.PENANAi3m8iA3OTP