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99Please respect copyright.PENANAz1IJGGwUue
登場人物介紹99Please respect copyright.PENANA6voYge69Tt
99Please respect copyright.PENANAXrTGL3Ojpa
第一天 數學的樂趣在哪裡?99Please respect copyright.PENANAgcEPswK6jA
第一課 其實並不可怕的高中數學99Please respect copyright.PENANAw9tO7t7n0U
好想學真正實用的數學!99Please respect copyright.PENANAX4Up96msML
高中數學比國中數學還簡單!?99Please respect copyright.PENANANIn8x5OTP7
99Please respect copyright.PENANAdf7a8tVTYO
第二課 超精簡的創新數學課!99Please respect copyright.PENANAzvG9f2menu
果斷刪去八成教科書內容!99Please respect copyright.PENANA9R5QgxfF9x
世界首創!「西成流」數學分類法99Please respect copyright.PENANAkbEeAVuVau
高中數學中最輕鬆的是「代數」99Please respect copyright.PENANAQtRdT3wMS9
高中數學的顛峰是「微分積分」99Please respect copyright.PENANAxcK6HrXvCu
超好用的工具「餘弦定理」99Please respect copyright.PENANAnnwS9jlBIW
真正的幾何大魔王是「向量」99Please respect copyright.PENANAY15okY9txq
Column文組無法理解數學的理由99Please respect copyright.PENANAPTp9x80OyA
99Please respect copyright.PENANAAbLeIxieE9
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!99Please respect copyright.PENANAJkJJCzxYdE
第一課 速速學會統計學基礎99Please respect copyright.PENANA3wfbGqYuOI
數據處理的3大必備條件99Please respect copyright.PENANABxtZs4bJ9h
為什麼增加個數很好用?99Please respect copyright.PENANARgmfgFCwYu
「排列組合」是指什麼?99Please respect copyright.PENANAQNSTrK7tuM
看離散程度的「標準差」99Please respect copyright.PENANAxNvCZPtqqL
99Please respect copyright.PENANA2DNNRCzCTa
第二課 記住「數列相加」的方法99Please respect copyright.PENANAqQ3tbaytKr
天才高斯少年發現的「倒序相加」99Please respect copyright.PENANA375x8wt215
超好用!任何等差數列都能用99Please respect copyright.PENANA6U1fexrpTm
嚴禁直接死背公式!99Please respect copyright.PENANAhUe8HurmRj
導出等差數列和的公式99Please respect copyright.PENANAQF6If2huj6
豐臣秀吉被擺了一道!數學變黃金的故事99Please respect copyright.PENANAs0V4O2QHAa
等比數列是「相乘後錯位相減」99Please respect copyright.PENANAXUhLUrEjRf
導出等比數列和的公式99Please respect copyright.PENANAvPJPj3Lfkx
先知道處理數列和的符號!99Please respect copyright.PENANAyptcozgjLq
Column把數學記號當作是念魔咒99Please respect copyright.PENANAs8ha2u4olz
99Please respect copyright.PENANAkkAnMS5S2M
第三課 記住「排列組合法」99Please respect copyright.PENANAyG97wEzlzk
從賽馬了解「排列」與「組合」99Please respect copyright.PENANADIdTemspLR
Step①了解階乘的計算方法99Please respect copyright.PENANAuH8Je7T3ps
Step②了解排列的計算方法99Please respect copyright.PENANAepmMKRhJJf
Step③了解組合的計算方法99Please respect copyright.PENANAlfxQkM7ORp
了解「排列」與「組合」的式子99Please respect copyright.PENANAEbXp27kjgy
「排列」和「組合」的符號是「P」和「C」99Please respect copyright.PENANA4I567mQ5t4
運用「排列」和「組合」排班表99Please respect copyright.PENANAFRnfoadBE6
99Please respect copyright.PENANAOUdISDlK5f
第四課 搞懂「離散值」和「標準差」99Please respect copyright.PENANARf5qDgvLS0
資訊分析的基礎是找到「數據的規則」99Please respect copyright.PENANAHBu5bLianI
兩個步驟找出離散程度99Please respect copyright.PENANALU7BxxOLxp
平均、分散、標準差的深~度關係99Please respect copyright.PENANAJhjQNQMBs3
平均、離散、標準差的記號99Please respect copyright.PENANAxnHyZKrYl4
試著用Excel計算標準差99Please respect copyright.PENANAIF8OTKQzkX
也把「偏差值」的計算公式記起來99Please respect copyright.PENANAXM6KprwcCP
附註內容①深奧的平均世界99Please respect copyright.PENANAm2AcNGco1K
附註內容②平均值、中位數、眾數99Please respect copyright.PENANAxMVfmofgQM
99Please respect copyright.PENANAoqIZNeD1Tf
第三天 超爽快!掌握高中文組數學的「分析」!99Please respect copyright.PENANAhDQhP9ZISh
第一課 豁然開朗!函數的世界99Please respect copyright.PENANAREhxTcUYZ0
函數與方程式的差別?99Please respect copyright.PENANACafE4UkX1d
高中數學的4種函數99Please respect copyright.PENANAMr6tFBiNej
Column少年西成的理科腦情書99Please respect copyright.PENANAWQ1YDVsRCd
99Please respect copyright.PENANADY0O7lRfpg
第二課 來複習二次函數!99Please respect copyright.PENANAMVyyeDaFzW
速速複習!二次方程式99Please respect copyright.PENANAjsv9RIXeCh
畫出二次函數的圖形!99Please respect copyright.PENANAAaKU0DLKuK
Column 物理學家是名偵探99Please respect copyright.PENANAi0xo3rSMAR
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第三課 指數函數超好用!99Please respect copyright.PENANAfvq5P9jDH4
記住指數函數的相關用語99Please respect copyright.PENANAjTmx5BuNaI
基本規則①乘冪相乘時,指數相加99Please respect copyright.PENANA70eY73Fxka
基本規則②乘冪再乘冪時,指數相乘99Please respect copyright.PENANAC7T3gvYa2P
基本規則③乘冪相除時,指數相減99Please respect copyright.PENANAYjYD8N5Wo0
指數是負數時會怎樣?99Please respect copyright.PENANAt9dcwVQku2
指數是「0」的時候會怎樣?99Please respect copyright.PENANANIZDEqhiiT
根號可以轉換成指數運算99Please respect copyright.PENANAERufLO0djA
統整指數運算的處理方式99Please respect copyright.PENANAkir4xsnKFG
將指數函數做成圖形看看!99Please respect copyright.PENANAnSrs8Unvmu
順便來談談「對數函數」的內容99Please respect copyright.PENANAweA30VogfM
天文數字也可以處理的對數函數99Please respect copyright.PENANAQqnySEK084
指數函數與音樂的深~度關係99Please respect copyright.PENANAbwmSKRXE2E
用iPhone計算指數函數的方法99Please respect copyright.PENANAxKm7lmrjTl
99Please respect copyright.PENANAYJTgIioNKv
第四天 秒懂高中數學的「幾何」精髓!99Please respect copyright.PENANAJNl9gFG4x8
第一課 不再霧煞煞的「三角比」99Please respect copyright.PENANAyqywjad3DH
以餘弦定理搞懂三角形99Please respect copyright.PENANAyZloNNaVMX
畫三角形的「西成流」作法99Please respect copyright.PENANAwQ3i1974VO
sin、cos、tan是指「邊長比」99Please respect copyright.PENANAG9iyubEabK
忘掉tan的存在吧!99Please respect copyright.PENANAMZH3OkyIyi
直角三角形的定義中必要的θ99Please respect copyright.PENANAkCJoq5IBxK
三角比經常出現的陷阱題99Please respect copyright.PENANAhp1VmdOssG
99Please respect copyright.PENANAN3HW0Yfeh0
第二課 俐落導出餘弦定理公式99Please respect copyright.PENANAv3uPxAUCtY
用三角比可以做的事99Please respect copyright.PENANAejmqlkq2Ct
導出餘弦定理①事前準備99Please respect copyright.PENANAddzTjbvmpL
導出餘弦定理②成立公式、解開99Please respect copyright.PENANAn2rw32lK2O
導出餘弦定理③證明sin2θ+ cos2θ= 199Please respect copyright.PENANApYSjTj5n7o
導出餘弦定理④完成99Please respect copyright.PENANAh07MpXMEHH
餘弦定理與畢氏定理的關係99Please respect copyright.PENANAGw0rP2IgMM
99Please respect copyright.PENANAnAdh7HaqVS
第三課 學習最後的分析工具「三角函數」!99Please respect copyright.PENANAmPWh0TmClZ
三角函數只是將θ與y的關係圖像化99Please respect copyright.PENANAsw8i9RmxJY
99Please respect copyright.PENANAAzn30LWmxu
第五天 特別課程①:幾何的最終武器「向量」!99Please respect copyright.PENANAunVrwGuh8W
第一課 偉大的「向量」99Please respect copyright.PENANAHzsgM7Zcl7
用代數解幾何問題!?99Please respect copyright.PENANAZbHRRQD0JE
「短短數行」就能證明餘弦定理99Please respect copyright.PENANAjDf12szc6u
99Please respect copyright.PENANA1SZT8KeZ5t
第二課 了解「向量」的超嶄新概念99Please respect copyright.PENANADOKTE2kwGH
向量是集結兩種資訊的「特殊容器」99Please respect copyright.PENANAGqy5GwOY0Q
眾所熟知的「純量」99Please respect copyright.PENANAr6gsLOiDHL
數據時代的主角「張量」99Please respect copyright.PENANAJRK4X7tcwJ
為什麼我們需要向量?99Please respect copyright.PENANAv72fVL3yKN
99Please respect copyright.PENANAeslPshW2GA
第三課 「向量」是用箭頭當作記號唷99Please respect copyright.PENANAL7qaVgA12S
向量的書寫規則99Please respect copyright.PENANAGoVtW5srHL
張量的畫法99Please respect copyright.PENANA4HEkVXOEsU
試著把向量畫成圖99Please respect copyright.PENANAFTaJG7TgVO
99Please respect copyright.PENANA6wrEBOO9VO
第四課 「向量」的計算超簡單!99Please respect copyright.PENANAmLlCR9p9xz
來算算向量的加法吧99Please respect copyright.PENANAjUFh4pYaBa
也來算算向量的減法99Please respect copyright.PENANA7WjBafgXjP
試著分解向量吧99Please respect copyright.PENANASw3TaYY5es
試著挑戰向量的乘法99Please respect copyright.PENANAuBb3AAWwSx
99Please respect copyright.PENANA8pHsSs12mU
第五課 靠「向量」秒殺餘弦定理!99Please respect copyright.PENANAPeez4mwiRf
用向量瞬間導出餘弦定理!99Please respect copyright.PENANAhc17xiBHXK
不論幾次元都能處理的向量99Please respect copyright.PENANAIpGgobsAAW
Column少年來了!(前篇)99Please respect copyright.PENANAaMgRybhWlT
99Please respect copyright.PENANAuzyeu5e4wf
第6天 特別課程②:用「微積分」預測未來!99Please respect copyright.PENANAhUg7DHOzgh
第一課 人類的寶物!了解微分積分99Please respect copyright.PENANAtBo9UfyQi5
微分積分與函數的關係99Please respect copyright.PENANAvMmsbQGRUL
今天的主題是「三角形面積」99Please respect copyright.PENANAB7ut4KJXi1
牛頓VS萊布尼茲的仁義之戰99Please respect copyright.PENANA4ZUjpnJTux
怎麼區分最合適?99Please respect copyright.PENANAOL5LBWqr22
用微積分計算三角形的面積!99Please respect copyright.PENANAc7FBUZL2S1
來認識微分積分的符號99Please respect copyright.PENANAMRqafFEbrE
Column少年來了!(後篇)99Please respect copyright.PENANAMELtfA5Kvl
99Please respect copyright.PENANAf3mcMo30zy
第二課 用Excel預測未來!99Please respect copyright.PENANA1RuKuWkZ3B
現代人,用Excel就能預測未來99Please respect copyright.PENANA3iuWJqesVA
掌握Excel的使用方法!99Please respect copyright.PENANABWhbhiLXSd
「數學家」、「AI」、「統計學家」的差別99Please respect copyright.PENANAai11LfNDvF
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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》
99Please respect copyright.PENANAqRW6riRiv7
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。
99Please respect copyright.PENANAkn0wR2ZrD1
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/165070499Please respect copyright.PENANARfGQz54Cqu