【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436Please respect copyright.PENANA9Hmr1Z5yBi
登場人物介紹436Please respect copyright.PENANAk3KkEx1MP8
436Please respect copyright.PENANA9k1NceWAv4
第一天 數學的樂趣在哪裡?436Please respect copyright.PENANAReYtMFl9HJ
第一課 其實並不可怕的高中數學436Please respect copyright.PENANALzfEBfxImM
好想學真正實用的數學!436Please respect copyright.PENANAhc5YbOmNrg
高中數學比國中數學還簡單!?436Please respect copyright.PENANAgwL9dNbXrZ
436Please respect copyright.PENANA2SR2toew4t
第二課 超精簡的創新數學課!436Please respect copyright.PENANAI6FrDJLxIs
果斷刪去八成教科書內容!436Please respect copyright.PENANAOkchsdJFAr
世界首創!「西成流」數學分類法436Please respect copyright.PENANAHTcwTzhkub
高中數學中最輕鬆的是「代數」436Please respect copyright.PENANABIIROQR0iu
高中數學的顛峰是「微分積分」436Please respect copyright.PENANAdWFHJDJCJ4
超好用的工具「餘弦定理」436Please respect copyright.PENANArJjTFEZZTA
真正的幾何大魔王是「向量」436Please respect copyright.PENANAU6FkPLyszP
Column文組無法理解數學的理由436Please respect copyright.PENANAJYGPk2ccQB
436Please respect copyright.PENANAB2DOGTjrjd
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!436Please respect copyright.PENANAqC1I9mpWWt
第一課 速速學會統計學基礎436Please respect copyright.PENANAtOzfxzpgEU
數據處理的3大必備條件436Please respect copyright.PENANAVG3756lBWe
為什麼增加個數很好用?436Please respect copyright.PENANAdcBU3CcsrF
「排列組合」是指什麼?436Please respect copyright.PENANAiOU5wXyCdv
看離散程度的「標準差」436Please respect copyright.PENANAe4eXgmbR17
436Please respect copyright.PENANAsvYhLxqLMW
第二課 記住「數列相加」的方法436Please respect copyright.PENANAgaC4K4UXEU
天才高斯少年發現的「倒序相加」436Please respect copyright.PENANAU2KwZPxOqx
超好用!任何等差數列都能用436Please respect copyright.PENANAynMi1dAfjY
嚴禁直接死背公式!436Please respect copyright.PENANAqA6lr6RP2U
導出等差數列和的公式436Please respect copyright.PENANALDdij2E9Wp
豐臣秀吉被擺了一道!數學變黃金的故事436Please respect copyright.PENANA4FwP0BudQn
等比數列是「相乘後錯位相減」436Please respect copyright.PENANA6cPj9YZNl5
導出等比數列和的公式436Please respect copyright.PENANAqgrZqAjhuZ
先知道處理數列和的符號!436Please respect copyright.PENANAeyAdxz9e67
Column把數學記號當作是念魔咒436Please respect copyright.PENANAXdhorxUaVH
436Please respect copyright.PENANAc2Mkfb2al1
第三課 記住「排列組合法」436Please respect copyright.PENANAIdUGaJ5aX0
從賽馬了解「排列」與「組合」436Please respect copyright.PENANAtQ4b1qVGsH
Step①了解階乘的計算方法436Please respect copyright.PENANAl4wzKPNhLQ
Step②了解排列的計算方法436Please respect copyright.PENANABg71nbRj1J
Step③了解組合的計算方法436Please respect copyright.PENANAQmVqKtWMTh
了解「排列」與「組合」的式子436Please respect copyright.PENANAZedoodkqHF
「排列」和「組合」的符號是「P」和「C」436Please respect copyright.PENANAbOKfIYw42G
運用「排列」和「組合」排班表436Please respect copyright.PENANAuwSPb37lCf
436Please respect copyright.PENANAqtmMo5kEqx
第四課 搞懂「離散值」和「標準差」436Please respect copyright.PENANAMBOxhLsIM5
資訊分析的基礎是找到「數據的規則」436Please respect copyright.PENANA7uruAmZ6LK
兩個步驟找出離散程度436Please respect copyright.PENANAOzZvn1cuxZ
平均、分散、標準差的深~度關係436Please respect copyright.PENANAfQt8r14AQo
平均、離散、標準差的記號436Please respect copyright.PENANAGeiAywg35v
試著用Excel計算標準差436Please respect copyright.PENANAlhy4OVFOgv
也把「偏差值」的計算公式記起來436Please respect copyright.PENANALkZ4DV9ETv
附註內容①深奧的平均世界436Please respect copyright.PENANAl6IKlBm0qP
附註內容②平均值、中位數、眾數436Please respect copyright.PENANAGl1QR5CXYL
436Please respect copyright.PENANAKa4kg01KtT
第三天 超爽快!掌握高中文組數學的「分析」!436Please respect copyright.PENANAgf4gvR7Nkv
第一課 豁然開朗!函數的世界436Please respect copyright.PENANARmzgk94oef
函數與方程式的差別?436Please respect copyright.PENANAJHiTJ3WH2B
高中數學的4種函數436Please respect copyright.PENANApgTERQvcY4
Column少年西成的理科腦情書436Please respect copyright.PENANARvWO5duC80
436Please respect copyright.PENANADNHq6M6obn
第二課 來複習二次函數!436Please respect copyright.PENANANqCgGZM5dh
速速複習!二次方程式436Please respect copyright.PENANAlFJweJrjDk
畫出二次函數的圖形!436Please respect copyright.PENANA1uI2Xa0pTX
Column 物理學家是名偵探436Please respect copyright.PENANAW2gDm4zUAf
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第三課 指數函數超好用!436Please respect copyright.PENANAtqr7TEwvtX
記住指數函數的相關用語436Please respect copyright.PENANAePXq0oEGNS
基本規則①乘冪相乘時,指數相加436Please respect copyright.PENANAm6eDHs7nwQ
基本規則②乘冪再乘冪時,指數相乘436Please respect copyright.PENANAzCaWVjejhk
基本規則③乘冪相除時,指數相減436Please respect copyright.PENANAHQ7r9Wieux
指數是負數時會怎樣?436Please respect copyright.PENANA5bTUlqh3NQ
指數是「0」的時候會怎樣?436Please respect copyright.PENANAL1gBXR12pu
根號可以轉換成指數運算436Please respect copyright.PENANA0MnM6m3nRj
統整指數運算的處理方式436Please respect copyright.PENANAx3q07GEWYC
將指數函數做成圖形看看!436Please respect copyright.PENANAyoSGE9UvfR
順便來談談「對數函數」的內容436Please respect copyright.PENANAukqFmn9Kqp
天文數字也可以處理的對數函數436Please respect copyright.PENANAbrG8cR7EEv
指數函數與音樂的深~度關係436Please respect copyright.PENANAKW6EHTAXat
用iPhone計算指數函數的方法436Please respect copyright.PENANAJCNRB8wdwG
436Please respect copyright.PENANA5ZkLDH0QBl
第四天 秒懂高中數學的「幾何」精髓!436Please respect copyright.PENANA9lBlWpwN6k
第一課 不再霧煞煞的「三角比」436Please respect copyright.PENANAiOiw30lo1A
以餘弦定理搞懂三角形436Please respect copyright.PENANA0dL5QSaGlz
畫三角形的「西成流」作法436Please respect copyright.PENANAla9jnk9bhx
sin、cos、tan是指「邊長比」436Please respect copyright.PENANAVCI94SLaxr
忘掉tan的存在吧!436Please respect copyright.PENANAsZYVnjoOF7
直角三角形的定義中必要的θ436Please respect copyright.PENANA0seKJghN1Y
三角比經常出現的陷阱題436Please respect copyright.PENANA29nBzGuGBY
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第二課 俐落導出餘弦定理公式436Please respect copyright.PENANAvSROSLEBuh
用三角比可以做的事436Please respect copyright.PENANAOHLvxRymNa
導出餘弦定理①事前準備436Please respect copyright.PENANA2zLSUu95hF
導出餘弦定理②成立公式、解開436Please respect copyright.PENANAHxgCaikRST
導出餘弦定理③證明sin2θ+ cos2θ= 1436Please respect copyright.PENANAv1QGlCk9TT
導出餘弦定理④完成436Please respect copyright.PENANAZJP87tK9Nx
餘弦定理與畢氏定理的關係436Please respect copyright.PENANALtv9BGg9jB
436Please respect copyright.PENANA5f4dBQQJVc
第三課 學習最後的分析工具「三角函數」!436Please respect copyright.PENANATTVkmPT9re
三角函數只是將θ與y的關係圖像化436Please respect copyright.PENANAUjcf72vNTS
436Please respect copyright.PENANACXxlPgBv9M
第五天 特別課程①:幾何的最終武器「向量」!436Please respect copyright.PENANAt1CSmZCmmw
第一課 偉大的「向量」436Please respect copyright.PENANAxyiLO7Zd9V
用代數解幾何問題!?436Please respect copyright.PENANAq3XEJcGwFY
「短短數行」就能證明餘弦定理436Please respect copyright.PENANAx3NxTaw5Q0
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第二課 了解「向量」的超嶄新概念436Please respect copyright.PENANAi1o6ZKT3nq
向量是集結兩種資訊的「特殊容器」436Please respect copyright.PENANA5eaPPRVAQf
眾所熟知的「純量」436Please respect copyright.PENANAnaob2Y5RAZ
數據時代的主角「張量」436Please respect copyright.PENANACibFRAbMfR
為什麼我們需要向量?436Please respect copyright.PENANA0zhkhEBwtp
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第三課 「向量」是用箭頭當作記號唷436Please respect copyright.PENANARfQVooQr4q
向量的書寫規則436Please respect copyright.PENANA5nAcq4mBAp
張量的畫法436Please respect copyright.PENANAZJAUwungEe
試著把向量畫成圖436Please respect copyright.PENANAdg0Le0wBII
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第四課 「向量」的計算超簡單!436Please respect copyright.PENANARjDqtnzIKP
來算算向量的加法吧436Please respect copyright.PENANAifXBbTRr2g
也來算算向量的減法436Please respect copyright.PENANAw2OmTBypuu
試著分解向量吧436Please respect copyright.PENANA0cJeKUf5EH
試著挑戰向量的乘法436Please respect copyright.PENANAfCAy2vLbav
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第五課 靠「向量」秒殺餘弦定理!436Please respect copyright.PENANAz1MquxFHT4
用向量瞬間導出餘弦定理!436Please respect copyright.PENANAVo3JqCxoAL
不論幾次元都能處理的向量436Please respect copyright.PENANAqMQTALfSID
Column少年來了!(前篇)436Please respect copyright.PENANAhaEcfaMHIR
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第6天 特別課程②:用「微積分」預測未來!436Please respect copyright.PENANAcexUk2SZRI
第一課 人類的寶物!了解微分積分436Please respect copyright.PENANAhJw9lQRMRw
微分積分與函數的關係436Please respect copyright.PENANAXQwi5uj7Ci
今天的主題是「三角形面積」436Please respect copyright.PENANAbLd6Ib9uvy
牛頓VS萊布尼茲的仁義之戰436Please respect copyright.PENANAfZsqhImSEI
怎麼區分最合適?436Please respect copyright.PENANAHpYxiu6X06
用微積分計算三角形的面積!436Please respect copyright.PENANApRa41S7omw
來認識微分積分的符號436Please respect copyright.PENANAxoqiEiZ1zS
Column少年來了!(後篇)436Please respect copyright.PENANALa5QAYCePI
436Please respect copyright.PENANAvtAVwRCR1K
第二課 用Excel預測未來!436Please respect copyright.PENANAHWHEZGCOtS
現代人,用Excel就能預測未來436Please respect copyright.PENANAsNn0lHfRdT
掌握Excel的使用方法!436Please respect copyright.PENANAGxtjIFzGjX
「數學家」、「AI」、「統計學家」的差別436Please respect copyright.PENANAyVPwpfuKJf
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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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