【20 天 (結果變5天) 來 Skim + Scan (03):一頁書心得 (數商)】
https://www.penana.com/article/1649263
237Please respect copyright.PENANAN0CAynDUBR
237Please respect copyright.PENANAPJpJPSKqDy
因為時間關係,我把 20 本縮減為 5 本。
237Please respect copyright.PENANAqczWSfq4sQ
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。
237Please respect copyright.PENANAWjzAnnSgA5
from 博客來網路書店・我的電子書櫃「日記創挑書單」
237Please respect copyright.PENANAObzPMPstof
237Please respect copyright.PENANAHBqtWAIwl9
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
237Please respect copyright.PENANAMpO1Th6FPt
目錄
前言237Please respect copyright.PENANANFcij77qjj
登場人物介紹237Please respect copyright.PENANAUbV0h89kGb
237Please respect copyright.PENANAcZ2gZDDzbl
第一天 數學的樂趣在哪裡?237Please respect copyright.PENANAMv559q5JDx
第一課 其實並不可怕的高中數學237Please respect copyright.PENANAeaWE8ZmvAl
好想學真正實用的數學!237Please respect copyright.PENANAHBNU1BYGoX
高中數學比國中數學還簡單!?237Please respect copyright.PENANAV1NiM9x164
237Please respect copyright.PENANAuugCU8Awuc
第二課 超精簡的創新數學課!237Please respect copyright.PENANAONKeQNQb1z
果斷刪去八成教科書內容!237Please respect copyright.PENANANK51EGmahj
世界首創!「西成流」數學分類法237Please respect copyright.PENANAj4bF5hgTtI
高中數學中最輕鬆的是「代數」237Please respect copyright.PENANAS3geHotw22
高中數學的顛峰是「微分積分」237Please respect copyright.PENANA0exsnRiq0p
超好用的工具「餘弦定理」237Please respect copyright.PENANAaogN0DdLPP
真正的幾何大魔王是「向量」237Please respect copyright.PENANASBiaTWUQ4f
Column文組無法理解數學的理由237Please respect copyright.PENANAWyfLpDoD9m
237Please respect copyright.PENANAkGXhtX7R7i
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!237Please respect copyright.PENANAU7uTjNmSOT
第一課 速速學會統計學基礎237Please respect copyright.PENANA6vCKHNuSEN
數據處理的3大必備條件237Please respect copyright.PENANAEK48X0YfRZ
為什麼增加個數很好用?237Please respect copyright.PENANAS73JRqXpcF
「排列組合」是指什麼?237Please respect copyright.PENANAAdec0g1b5m
看離散程度的「標準差」237Please respect copyright.PENANAzOJWn7uMDc
237Please respect copyright.PENANAQBBYyLNa6B
第二課 記住「數列相加」的方法237Please respect copyright.PENANAx5b9VLYgrs
天才高斯少年發現的「倒序相加」237Please respect copyright.PENANAQEXMKOPBkD
超好用!任何等差數列都能用237Please respect copyright.PENANAxiJiaEcBfU
嚴禁直接死背公式!237Please respect copyright.PENANAC2JtCphSLO
導出等差數列和的公式237Please respect copyright.PENANATUs8IDoVyq
豐臣秀吉被擺了一道!數學變黃金的故事237Please respect copyright.PENANAsyrOJpb8oP
等比數列是「相乘後錯位相減」237Please respect copyright.PENANAxMrGc5qZ80
導出等比數列和的公式237Please respect copyright.PENANAhMh1KMgtJa
先知道處理數列和的符號!237Please respect copyright.PENANAfZUxrj3nbC
Column把數學記號當作是念魔咒237Please respect copyright.PENANADuQO3pPYwn
237Please respect copyright.PENANAASWXnp2a0h
第三課 記住「排列組合法」237Please respect copyright.PENANAM2KRwTQ7cN
從賽馬了解「排列」與「組合」237Please respect copyright.PENANAgD6xDctsiW
Step①了解階乘的計算方法237Please respect copyright.PENANAwBv1Ttq5Co
Step②了解排列的計算方法237Please respect copyright.PENANA0zZ9eO4y4f
Step③了解組合的計算方法237Please respect copyright.PENANAN0GL3WZdje
了解「排列」與「組合」的式子237Please respect copyright.PENANAiD2RMj6yGe
「排列」和「組合」的符號是「P」和「C」237Please respect copyright.PENANADyDX6620qy
運用「排列」和「組合」排班表237Please respect copyright.PENANAi1XmZC95Ow
237Please respect copyright.PENANAWBiSHNpYJO
第四課 搞懂「離散值」和「標準差」237Please respect copyright.PENANAlysPEIY49l
資訊分析的基礎是找到「數據的規則」237Please respect copyright.PENANAROS3nVWnCp
兩個步驟找出離散程度237Please respect copyright.PENANAdlOulOHnkm
平均、分散、標準差的深~度關係237Please respect copyright.PENANAoYUFdquSI3
平均、離散、標準差的記號237Please respect copyright.PENANApK0u49ZYCy
試著用Excel計算標準差237Please respect copyright.PENANAutxYQHHQ4l
也把「偏差值」的計算公式記起來237Please respect copyright.PENANAnKom6hvMo7
附註內容①深奧的平均世界237Please respect copyright.PENANANeK3vC22dr
附註內容②平均值、中位數、眾數237Please respect copyright.PENANApHwGvSQzk8
237Please respect copyright.PENANAn6CVkfa2P5
第三天 超爽快!掌握高中文組數學的「分析」!237Please respect copyright.PENANA1uVmuMboy1
第一課 豁然開朗!函數的世界237Please respect copyright.PENANAzv43LyGzAJ
函數與方程式的差別?237Please respect copyright.PENANAJqp9X0KTvV
高中數學的4種函數237Please respect copyright.PENANA9odIqCPg40
Column少年西成的理科腦情書237Please respect copyright.PENANAwC4sxYayw7
237Please respect copyright.PENANAlVIiOr9h9o
第二課 來複習二次函數!237Please respect copyright.PENANAuULFjujPHb
速速複習!二次方程式237Please respect copyright.PENANAHUKnQgevRc
畫出二次函數的圖形!237Please respect copyright.PENANAnM38z4Z2tD
Column 物理學家是名偵探237Please respect copyright.PENANACQwzqk1CMA
237Please respect copyright.PENANAOqEycevmT4
第三課 指數函數超好用!237Please respect copyright.PENANAXG898A48VF
記住指數函數的相關用語237Please respect copyright.PENANAJOCmoRiNHF
基本規則①乘冪相乘時,指數相加237Please respect copyright.PENANA8cWvkofmOI
基本規則②乘冪再乘冪時,指數相乘237Please respect copyright.PENANAO0Smt4nfpJ
基本規則③乘冪相除時,指數相減237Please respect copyright.PENANAo5N7BoSlq4
指數是負數時會怎樣?237Please respect copyright.PENANAnesMPOcUyw
指數是「0」的時候會怎樣?237Please respect copyright.PENANAaaA0eEll1n
根號可以轉換成指數運算237Please respect copyright.PENANALmUlAikWiQ
統整指數運算的處理方式237Please respect copyright.PENANAaSbaghy4zu
將指數函數做成圖形看看!237Please respect copyright.PENANAETDUjRAMk9
順便來談談「對數函數」的內容237Please respect copyright.PENANA6fb6K3Asy1
天文數字也可以處理的對數函數237Please respect copyright.PENANAJu0IaPmVq2
指數函數與音樂的深~度關係237Please respect copyright.PENANAuUkBIpmxSv
用iPhone計算指數函數的方法237Please respect copyright.PENANAYVpqJ40r0H
237Please respect copyright.PENANAqojXGqGCmz
第四天 秒懂高中數學的「幾何」精髓!237Please respect copyright.PENANAEJEvwkqiWe
第一課 不再霧煞煞的「三角比」237Please respect copyright.PENANATcgTzZ9gMD
以餘弦定理搞懂三角形237Please respect copyright.PENANANAi9idbdfO
畫三角形的「西成流」作法237Please respect copyright.PENANAkCIPEUTCF0
sin、cos、tan是指「邊長比」237Please respect copyright.PENANA7wS86ipkZO
忘掉tan的存在吧!237Please respect copyright.PENANAs1vFMHoOtN
直角三角形的定義中必要的θ237Please respect copyright.PENANAzGmtwF1Ws0
三角比經常出現的陷阱題237Please respect copyright.PENANALUjROzsfPM
237Please respect copyright.PENANAfTdpCEm241
第二課 俐落導出餘弦定理公式237Please respect copyright.PENANA8xAfjj94nT
用三角比可以做的事237Please respect copyright.PENANAwq05SaynAI
導出餘弦定理①事前準備237Please respect copyright.PENANAqqr5vlK8hB
導出餘弦定理②成立公式、解開237Please respect copyright.PENANAvPcnrWly90
導出餘弦定理③證明sin2θ+ cos2θ= 1237Please respect copyright.PENANAvRKp1wmqDB
導出餘弦定理④完成237Please respect copyright.PENANASkiZKZfAOQ
餘弦定理與畢氏定理的關係237Please respect copyright.PENANAKE49wWvI0L
237Please respect copyright.PENANAHdhXSRR9IT
第三課 學習最後的分析工具「三角函數」!237Please respect copyright.PENANArsxC94BdNs
三角函數只是將θ與y的關係圖像化237Please respect copyright.PENANAWtWfFSM7eJ
237Please respect copyright.PENANAuGj2hUW4At
第五天 特別課程①:幾何的最終武器「向量」!237Please respect copyright.PENANAjGSpzfbHK4
第一課 偉大的「向量」237Please respect copyright.PENANAqtsW181mCJ
用代數解幾何問題!?237Please respect copyright.PENANAv8gnoF4bWW
「短短數行」就能證明餘弦定理237Please respect copyright.PENANAls3vfIg9Qi
237Please respect copyright.PENANA94vNBQ8j65
第二課 了解「向量」的超嶄新概念237Please respect copyright.PENANA52bXMStmIm
向量是集結兩種資訊的「特殊容器」237Please respect copyright.PENANAEg0nBmxIme
眾所熟知的「純量」237Please respect copyright.PENANArhibxVDioN
數據時代的主角「張量」237Please respect copyright.PENANAvEEckxf2Tv
為什麼我們需要向量?237Please respect copyright.PENANATyJpKKV24F
237Please respect copyright.PENANAMCXA5HqbOq
第三課 「向量」是用箭頭當作記號唷237Please respect copyright.PENANARPjQc8jezU
向量的書寫規則237Please respect copyright.PENANAiVp7CLkbTN
張量的畫法237Please respect copyright.PENANAoYDzw6YcJ2
試著把向量畫成圖237Please respect copyright.PENANA3U3YdYrSyA
237Please respect copyright.PENANA35m56sSk5n
第四課 「向量」的計算超簡單!237Please respect copyright.PENANAhXhMYqPgDV
來算算向量的加法吧237Please respect copyright.PENANAnnEIObXAYg
也來算算向量的減法237Please respect copyright.PENANA8JoO8osCPW
試著分解向量吧237Please respect copyright.PENANA4rDXNiVTxd
試著挑戰向量的乘法237Please respect copyright.PENANATwZ7G0k1UX
237Please respect copyright.PENANALcHR8h8MEW
第五課 靠「向量」秒殺餘弦定理!237Please respect copyright.PENANAXZ2iJlcUeq
用向量瞬間導出餘弦定理!237Please respect copyright.PENANA7RsBYjulbQ
不論幾次元都能處理的向量237Please respect copyright.PENANA16MXXOFj0e
Column少年來了!(前篇)237Please respect copyright.PENANAcChQQtxX9I
237Please respect copyright.PENANAs1GRlJFBIT
第6天 特別課程②:用「微積分」預測未來!237Please respect copyright.PENANAmlTJVSBnsv
第一課 人類的寶物!了解微分積分237Please respect copyright.PENANA9YCy9iLZEx
微分積分與函數的關係237Please respect copyright.PENANAn85Wxe5L8B
今天的主題是「三角形面積」237Please respect copyright.PENANACN9bHdjrdx
牛頓VS萊布尼茲的仁義之戰237Please respect copyright.PENANACysALLwR6Z
怎麼區分最合適?237Please respect copyright.PENANABB0bE4rbm3
用微積分計算三角形的面積!237Please respect copyright.PENANAnHyOsyBK2t
來認識微分積分的符號237Please respect copyright.PENANAvPU9e38A8A
Column少年來了!(後篇)237Please respect copyright.PENANARB6bA6X8tD
237Please respect copyright.PENANAuOHtf2mFCu
第二課 用Excel預測未來!237Please respect copyright.PENANA6jrbrElZLf
現代人,用Excel就能預測未來237Please respect copyright.PENANA78mJiSFq4C
掌握Excel的使用方法!237Please respect copyright.PENANAdH6TtvAfJJ
「數學家」、「AI」、「統計學家」的差別237Please respect copyright.PENANAu4ZpqxMN7U
237Please respect copyright.PENANA6cqlRiRR3z
後記
237Please respect copyright.PENANAYXBwCmXxlj
237Please respect copyright.PENANAnXFpI2V0CE
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》
237Please respect copyright.PENANApOyrEax2fH
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。
237Please respect copyright.PENANAmtPU0tdz2q
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。
237Please respect copyright.PENANAVKOOGRPUTC
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。
237Please respect copyright.PENANA7IXba1r3ht
237Please respect copyright.PENANAlDiWEVUmol
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。
237Please respect copyright.PENANAkVC7zRIlvp
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
237Please respect copyright.PENANAIRgk0I0SP1
237Please respect copyright.PENANAnefivZfLXp
【十二年國教課程綱要:數學領域 (節錄)】
237Please respect copyright.PENANArqvDUVDqra
237Please respect copyright.PENANALnD7qzDYVv
237Please respect copyright.PENANAP76Gdy2cYx
【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
237Please respect copyright.PENANAlNTMlgm092
237Please respect copyright.PENANAsoC0EHZeCP
今天到此為止,我們明天見!!
ns216.73.216.82da2