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

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Re: [中學] 113學測填充17

[ Math ]2 留言, 推噓總分: +2

作者: opeminbod001 - 發表於 2024/01/21 02:50(2年前)

1^F推emptie: 我的第一個直覺也是這個01/21 06:59

[中學] 機率統計

[ Math ]5 留言, 推噓總分: +3

作者: bernard0929 - 發表於 2024/01/20 00:33(2年前)

1^F推emptie: 既然是第25題，應該能分配更多時間來解吧？01/20 00:54

[幾何] 國三內心、外心、面積比一題

[ Math ]10 留言, 推噓總分: +2

作者: ssuin - 發表於 2024/01/19 20:20(2年前)

1^F推emptie: 只要能說明OIC共線就行，這樣O也在角C的平分線上，O01/19 21:05

2^F→emptie: 到AC的距離等於O到BC的距離，BOE與AOD的面積比就會01/19 21:05

3^F→emptie: 變成AD:BE=BF。01/19 21:05

4^F→emptie: https://i.imgur.com/gPYBe96.jpg01/19 21:05

5^F→emptie: 因為角AIO+角AIC=角BIO+角BIC，可證明OIC共線，故得01/19 21:05

6^F→emptie: 證01/19 21:05

[中學] 畢氏數問題

[ Math ]1 留言, 推噓總分: +1

作者: anous - 發表於 2023/12/11 18:29(2年前)

1^F推emptie: Twin Pythagorean Triple12/11 20:10

[中學] 國中一題三角形內心請教

[ Math ]14 留言, 推噓總分: +3

作者: ccccc7784 - 發表於 2023/12/04 15:23(2年前)

1^F推emptie: 作DF、EG分別垂直AC於F、G12/04 19:27

2^F→emptie: 在梯形DEGF中DG=BE=6,DF=DB=812/04 19:27

3^F→emptie: FG^2=DE^2-(DF-EG)^2 ，得FG=4根號612/04 19:27

4^F→emptie: 又BC=CF,AB=AG 故FG=AB+BC-AC12/04 19:27

5^F→emptie: 直角三角形ABC中 2r=AB+BC-AC12/04 19:27

6^F→emptie: r12/04 19:27

7^F→emptie: 2 = FG/212/04 19:28

8^F→emptie: *** r=FG/212/04 19:28

9^F推emptie: 至於為什麼直角三角形的內切圓半徑有這個性質：12/04 19:37

10^F→emptie: https://i.imgur.com/t4fRmfb.png12/04 19:37

14^F推emptie: 是的筆誤了12/04 20:07

Re: [中學] 連續正整數集合

[ Math ]3 留言, 推噓總分: +1

作者: emptie - 發表於 2023/11/11 00:11(2年前)

3^F→emptie: ！11/11 02:06

Re: [中學] 連續正整數集合

[ Math ]5 留言, 推噓總分: +4

作者: AquaCute - 發表於 2023/11/08 23:16(2年前)

5^F推emptie: 不是唯一。{1,2,3,7,11,15,18}是另一組11/09 10:08

[機統] 等到紅燈的機率

[ Math ]3 留言, 推噓總分: +1

作者: thumbg75446 - 發表於 2022/10/20 18:52(3年前)

1^F推emptie: 你想一下你到達路口之前的行車狀況，是紅燈或綠燈10/20 23:13

2^F→emptie: 其實很不一樣吧，你要整條路只有你一台車的時候才10/20 23:13

3^F→emptie: 適合用3/4去描述10/20 23:13

Re: [中學] 三角極值

[ Math ]3 留言, 推噓總分: +2

作者: deathcustom - 發表於 2022/10/19 16:37(3年前)

1^F推emptie: R2(x)處理一下可以用算幾不等式處理（因為限制條件10/19 16:50

2^F→emptie: 有x>0）10/19 16:50

拼布問題求解

[ Math ]16 留言, 推噓總分: +5

作者: henbin - 發表於 2022/09/14 21:25(3年前)

4^F推emptie: 任意的局部2x2都要有4色09/14 23:17

5^F推emptie: https://i.imgur.com/OJhJPlW.jpg09/15 00:00

6^F→emptie: 中間4格隨意填色，之後考慮角落的顏色09/15 00:00

7^F→emptie: 如果是紅色或黃色，那會決定其中12格的顏色，剩下09/15 00:00

8^F→emptie: 的一排有2種組態。09/15 00:00

9^F→emptie: 但如果是藍色，只能決定9格，繼續討論左下角的顏色09/15 00:00

10^F→emptie: ，如果是紅色則有2種，若是綠色則只有1種09/15 00:00

11^F→emptie: 所以1種中間四格的組態可以對應到2+2+2+1=7種全局09/15 00:01

12^F→emptie: 的組態。09/15 00:01

13^F推emptie: 但答案會跟是否允許旋轉/翻面有關係09/15 00:05

14^F推emptie: 都不能的話就 4!*7 ，可以旋轉就3!*7，能旋轉+翻面09/15 00:10

15^F→emptie: 6*709/15 00:10

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