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作者 emptie 在 PTT [ Math ] 看板的留言(推文), 共270則

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[幾何] 共線證明

[ Math ]9 留言, 推噓總分: +1

作者: airpig - 發表於 2022/02/07 23:17(2年前)

1^F推emptie: 先證明三角形AGB 三角形ACE全等02/08 00:40

2^F→emptie: 兩者為固定A點旋轉90度的關係，故GB垂直CE於H點02/08 00:40

3^F→emptie: HCG為直角三角形，故AHCFG五點共圓02/08 00:40

4^F→emptie: 因AF為直徑，故AH垂直HF。02/08 00:40

5^F→emptie: 同理可得AHBDE五點共圓，且AH垂直HD02/08 00:40

6^F→emptie: 因為AH同時垂直HF與HD，DHF三點共線02/08 00:40

7^F→emptie: https://i.imgur.com/tGiRb0X.jpg02/08 00:41

8^F→emptie: 示意圖02/08 00:41

[中學] 圓與切線的求半徑問題

[ Math ]10 留言, 推噓總分: +2

作者: choun - 發表於 2022/01/30 01:06(2年前)

4^F推emptie: 做一條垂線還是可以不用海龍公式啦01/30 10:44

[小學] 一題數學

[ Math ]3 留言, 推噓總分: +1

作者: kuagun - 發表於 2022/01/17 21:33(2年前)

1^F推emptie: 三位數中是完全立方數的也只有 5個窮舉就有答案了01/17 21:39

2^F→emptie: 答案是72901/17 21:39

[中學] 請問一題空間向量

[ Math ]2 留言, 推噓總分: +1

作者: ssuin - 發表於 2022/01/11 20:31(2年前)

1^F推emptie: https://i.imgur.com/2wEojWj.jpg01/11 22:51

[中學] 請教ㄧ題國中數學

[ Math ]5 留言, 推噓總分: +1

作者: math365 - 發表於 2022/01/11 10:27(2年前)

1^F推emptie: https://math.stackexchange.com/questions/23009001/11 10:51

2^F→emptie: 9/01/11 10:51

3^F→emptie: https://bit.ly/3zK7jlP 縮01/11 10:51

[微積] 求極值

[ Math ]2 留言, 推噓總分: +1

作者: attack2000 - 發表於 2021/12/31 16:32(2年前)

1^F推emptie: cos(2t) = 1-2(sin(t))^212/31 16:40

2^F→emptie: 另外 sin(2t) 對t微分的話應該是2 cos(2t)12/31 16:43

[中學] 機率（數的加總）

[ Math ]8 留言, 推噓總分: +2

作者: waterbear963 - 發表於 2021/12/16 14:22(2年前)

1^F推emptie: 上面那個是基於每個數字出現的次數一樣的對稱性，12/16 14:38

2^F→emptie: 所以求出個別出現的機率後再加總就是期望值，C(8,212/16 14:38

3^F→emptie: )可以理解為包含該數的組合數（該數+任意2數）12/16 14:38

4^F推emptie: 下面那個，全部的可能性有9^3種，9^2則是在固定特12/16 14:45

5^F→emptie: 定數字出現在某位置後，剩下兩個位置能填入的數字12/16 14:45

6^F→emptie: 組合數，乘以3是因為有三個位置12/16 14:45

Re: [分析] 為什麼 dy/dt = dy/dx * dx/dt 並不嚴謹?

[ Math ]40 留言, 推噓總分: +9

作者: alan23273850 - 發表於 2021/12/14 01:25(2年前)

36^F推emptie: 維基百科頁面的目錄不是裝飾用的啊12/15 21:16

37^F→emptie: 那個都是可以點的連結，點下去就直接跳到該段落12/15 21:16

[中學] 中位數與眾位數的問題

[ Math ]15 留言, 推噓總分: +4

作者: mmxmmxmmx - 發表於 2021/12/15 16:08(2年前)

1^F推emptie: 中位數=眾數=1012/15 16:22

2^F→emptie: 歲12/15 16:22

3^F→emptie: 選B12/15 16:22

[國小]國小資優升學的速率問題

[ Math ]12 留言, 推噓總分: +4

作者: mmxmmxmmx - 發表於 2021/12/09 15:22(2年前)

2^F推emptie: 200/5=40 40*4=160 三人都移動了40秒12/09 15:47

3^F→emptie: 相遇位置在距離起點80m處12/09 15:47

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