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104Please respect copyright.PENANAVkw7PeiGx5
登場人物介紹104Please respect copyright.PENANAKQ1OXmCtAo
104Please respect copyright.PENANAEgPp9lX41L
第一天 數學的樂趣在哪裡?104Please respect copyright.PENANAK3Byk9Krsi
第一課 其實並不可怕的高中數學104Please respect copyright.PENANAx2nq16iYkV
好想學真正實用的數學!104Please respect copyright.PENANAohoaydMFXM
高中數學比國中數學還簡單!?104Please respect copyright.PENANAMNRtnoeNyd
104Please respect copyright.PENANA7jtWoL193W
第二課 超精簡的創新數學課!104Please respect copyright.PENANADbhVcg4mI6
果斷刪去八成教科書內容!104Please respect copyright.PENANAFGGqMpvIFG
世界首創!「西成流」數學分類法104Please respect copyright.PENANAMyB9ovBFVa
高中數學中最輕鬆的是「代數」104Please respect copyright.PENANA0z4nTSmf1h
高中數學的顛峰是「微分積分」104Please respect copyright.PENANAiHDgwkeckl
超好用的工具「餘弦定理」104Please respect copyright.PENANA9dxhhTmHYr
真正的幾何大魔王是「向量」104Please respect copyright.PENANADqbs9VFgwg
Column文組無法理解數學的理由104Please respect copyright.PENANACloHDQcKWZ
104Please respect copyright.PENANAmapOqe4rVw
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!104Please respect copyright.PENANA7Iv0cluuN8
第一課 速速學會統計學基礎104Please respect copyright.PENANAztu2NAWt0J
數據處理的3大必備條件104Please respect copyright.PENANAIZqZgBbzot
為什麼增加個數很好用?104Please respect copyright.PENANAtn6Htva62C
「排列組合」是指什麼?104Please respect copyright.PENANAggNHMIDFPv
看離散程度的「標準差」104Please respect copyright.PENANASXof4sNmDJ
104Please respect copyright.PENANArdXWCGRetL
第二課 記住「數列相加」的方法104Please respect copyright.PENANAChHEM7JZXh
天才高斯少年發現的「倒序相加」104Please respect copyright.PENANAxDC7e3N7yg
超好用!任何等差數列都能用104Please respect copyright.PENANAB4UN7GyPtH
嚴禁直接死背公式!104Please respect copyright.PENANA48IRsEL5ee
導出等差數列和的公式104Please respect copyright.PENANADawQzYmQ4r
豐臣秀吉被擺了一道!數學變黃金的故事104Please respect copyright.PENANAoUb2gPSXNl
等比數列是「相乘後錯位相減」104Please respect copyright.PENANAxRwc6xZ2Vo
導出等比數列和的公式104Please respect copyright.PENANAmJ76F8VhbE
先知道處理數列和的符號!104Please respect copyright.PENANAf5VciqmnFx
Column把數學記號當作是念魔咒104Please respect copyright.PENANA8IIjqf1Jan
104Please respect copyright.PENANAJN29nPF7xA
第三課 記住「排列組合法」104Please respect copyright.PENANAG2IUt7lglF
從賽馬了解「排列」與「組合」104Please respect copyright.PENANA6fggeg2AWP
Step①了解階乘的計算方法104Please respect copyright.PENANAyhjNAzDhV4
Step②了解排列的計算方法104Please respect copyright.PENANADX4TsZbUjK
Step③了解組合的計算方法104Please respect copyright.PENANAI3S5amtG2m
了解「排列」與「組合」的式子104Please respect copyright.PENANAGRaFS9KMLz
「排列」和「組合」的符號是「P」和「C」104Please respect copyright.PENANA66bdGzhP5S
運用「排列」和「組合」排班表104Please respect copyright.PENANA78CZfGwbQD
104Please respect copyright.PENANAATCR2FmGim
第四課 搞懂「離散值」和「標準差」104Please respect copyright.PENANAdAPrwl1loP
資訊分析的基礎是找到「數據的規則」104Please respect copyright.PENANALFhxD3iczL
兩個步驟找出離散程度104Please respect copyright.PENANA507mt5KGGd
平均、分散、標準差的深~度關係104Please respect copyright.PENANA5lQxiwQglW
平均、離散、標準差的記號104Please respect copyright.PENANAbtGn5JjgrU
試著用Excel計算標準差104Please respect copyright.PENANAaCcNC7zisR
也把「偏差值」的計算公式記起來104Please respect copyright.PENANAYhASHEAPXy
附註內容①深奧的平均世界104Please respect copyright.PENANAbjq0CNyDmM
附註內容②平均值、中位數、眾數104Please respect copyright.PENANAKwXY11vylW
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第三天 超爽快!掌握高中文組數學的「分析」!104Please respect copyright.PENANAMw4adaEEiW
第一課 豁然開朗!函數的世界104Please respect copyright.PENANAPCOLFswtt1
函數與方程式的差別?104Please respect copyright.PENANAfRq6DzkF6z
高中數學的4種函數104Please respect copyright.PENANADoVAQHNHZH
Column少年西成的理科腦情書104Please respect copyright.PENANAKYetj9Sit9
104Please respect copyright.PENANAPYH2jAbiZG
第二課 來複習二次函數!104Please respect copyright.PENANAza1KcNF7Of
速速複習!二次方程式104Please respect copyright.PENANAaEpYnmhlde
畫出二次函數的圖形!104Please respect copyright.PENANAeYQu6mZmyw
Column 物理學家是名偵探104Please respect copyright.PENANAnLeMH5jXje
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第三課 指數函數超好用!104Please respect copyright.PENANAgG7R37phST
記住指數函數的相關用語104Please respect copyright.PENANArnmDrmiQMP
基本規則①乘冪相乘時,指數相加104Please respect copyright.PENANAbusJ8xZHRK
基本規則②乘冪再乘冪時,指數相乘104Please respect copyright.PENANAuGEIuWmnvr
基本規則③乘冪相除時,指數相減104Please respect copyright.PENANAffxxiQrJ7B
指數是負數時會怎樣?104Please respect copyright.PENANA02MPY3fOjP
指數是「0」的時候會怎樣?104Please respect copyright.PENANA8pylZ6q9Vl
根號可以轉換成指數運算104Please respect copyright.PENANAiGGjLq37Q7
統整指數運算的處理方式104Please respect copyright.PENANAnexofNlR9e
將指數函數做成圖形看看!104Please respect copyright.PENANA7WpoihhDmZ
順便來談談「對數函數」的內容104Please respect copyright.PENANAZ887rPGqPH
天文數字也可以處理的對數函數104Please respect copyright.PENANAhEIpnsSpXk
指數函數與音樂的深~度關係104Please respect copyright.PENANA0SsdjtlAaN
用iPhone計算指數函數的方法104Please respect copyright.PENANAXn60gkv7fG
104Please respect copyright.PENANA633E4aMn6m
第四天 秒懂高中數學的「幾何」精髓!104Please respect copyright.PENANAPlrr8arlOh
第一課 不再霧煞煞的「三角比」104Please respect copyright.PENANANjDwDUpJGG
以餘弦定理搞懂三角形104Please respect copyright.PENANAOlNYf6lK7P
畫三角形的「西成流」作法104Please respect copyright.PENANAKOfRi81WPc
sin、cos、tan是指「邊長比」104Please respect copyright.PENANASZPLtYNJ2Y
忘掉tan的存在吧!104Please respect copyright.PENANAtV0Te7KXHS
直角三角形的定義中必要的θ104Please respect copyright.PENANA7bObkjKggt
三角比經常出現的陷阱題104Please respect copyright.PENANAdgMFKPu1Wy
104Please respect copyright.PENANAk7sCEJESYS
第二課 俐落導出餘弦定理公式104Please respect copyright.PENANAOQVe6jUmDG
用三角比可以做的事104Please respect copyright.PENANARk32axgwL2
導出餘弦定理①事前準備104Please respect copyright.PENANAakzlliJA8X
導出餘弦定理②成立公式、解開104Please respect copyright.PENANAI1jcG1W9mf
導出餘弦定理③證明sin2θ+ cos2θ= 1104Please respect copyright.PENANA7hHIRaBjZR
導出餘弦定理④完成104Please respect copyright.PENANAxmtlsv943g
餘弦定理與畢氏定理的關係104Please respect copyright.PENANACDNwrnvLks
104Please respect copyright.PENANAK9WnSCVdYb
第三課 學習最後的分析工具「三角函數」!104Please respect copyright.PENANAYfiBfGftqR
三角函數只是將θ與y的關係圖像化104Please respect copyright.PENANAEeI5rd2mdg
104Please respect copyright.PENANAuBIdlt0Se9
第五天 特別課程①:幾何的最終武器「向量」!104Please respect copyright.PENANApGHLPpdevV
第一課 偉大的「向量」104Please respect copyright.PENANAwuOx8FyaLD
用代數解幾何問題!?104Please respect copyright.PENANAhilthAfzjV
「短短數行」就能證明餘弦定理104Please respect copyright.PENANA85snU0Kyvg
104Please respect copyright.PENANAjH8sNBcpQF
第二課 了解「向量」的超嶄新概念104Please respect copyright.PENANAJtTJrfZ8xk
向量是集結兩種資訊的「特殊容器」104Please respect copyright.PENANA7MvZcpn0E5
眾所熟知的「純量」104Please respect copyright.PENANAHRaj2ZrCD9
數據時代的主角「張量」104Please respect copyright.PENANAzOsLC6S93B
為什麼我們需要向量?104Please respect copyright.PENANAIDwCczcOVI
104Please respect copyright.PENANABjB9glL8LJ
第三課 「向量」是用箭頭當作記號唷104Please respect copyright.PENANASmyUaueH2i
向量的書寫規則104Please respect copyright.PENANA9wxKVepSYo
張量的畫法104Please respect copyright.PENANAdz5U5jXAOO
試著把向量畫成圖104Please respect copyright.PENANA39WzEVIXhW
104Please respect copyright.PENANAHAcHieVmi4
第四課 「向量」的計算超簡單!104Please respect copyright.PENANAZvHLKFKMbK
來算算向量的加法吧104Please respect copyright.PENANAWvtG9JHUMs
也來算算向量的減法104Please respect copyright.PENANAm0dnETlQ0O
試著分解向量吧104Please respect copyright.PENANAfwY2ZLy7ev
試著挑戰向量的乘法104Please respect copyright.PENANAsbVKHW3DqA
104Please respect copyright.PENANAx4vtFv4KNS
第五課 靠「向量」秒殺餘弦定理!104Please respect copyright.PENANAk3TktcFqNo
用向量瞬間導出餘弦定理!104Please respect copyright.PENANAG8oZcQ3gZk
不論幾次元都能處理的向量104Please respect copyright.PENANAGIl5dtBZDJ
Column少年來了!(前篇)104Please respect copyright.PENANAEA858D8oV8
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第6天 特別課程②:用「微積分」預測未來!104Please respect copyright.PENANAN3jtp9Djw7
第一課 人類的寶物!了解微分積分104Please respect copyright.PENANA2bp8C2LGhe
微分積分與函數的關係104Please respect copyright.PENANAfoUb3qPvjw
今天的主題是「三角形面積」104Please respect copyright.PENANAGINCEbtqtX
牛頓VS萊布尼茲的仁義之戰104Please respect copyright.PENANAhqNzWAtjPp
怎麼區分最合適?104Please respect copyright.PENANAP88RAGTwvu
用微積分計算三角形的面積!104Please respect copyright.PENANAardKB3ZbCK
來認識微分積分的符號104Please respect copyright.PENANAoCuL4ewL83
Column少年來了!(後篇)104Please respect copyright.PENANAuLqXZCVq0w
104Please respect copyright.PENANAwrxv4BfQVj
第二課 用Excel預測未來!104Please respect copyright.PENANA8VUIrGfhkC
現代人,用Excel就能預測未來104Please respect copyright.PENANAi2Tr3ZzJo5
掌握Excel的使用方法!104Please respect copyright.PENANAQuGmEfSBKO
「數學家」、「AI」、「統計學家」的差別104Please respect copyright.PENANAqjmFVdoLqY
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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》
104Please respect copyright.PENANAEe0cDJrOoE
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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【創挑出處】
https://www.penana.com/article/1650704104Please respect copyright.PENANAMBo5fRVhNQ