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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(1年前)
1Femptie: 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(1年前)
1Femptie: 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(1年前)
1Femptie: 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
2Femptie: 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
3Femptie: 變成AD:BE=BF。01/19 21:05
4Femptie: https://i.imgur.com/gPYBe96.jpg01/19 21:05
5Femptie: 因為角AIO+角AIC=角BIO+角BIC,可證明OIC共線,故得01/19 21:05
6Femptie: 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)
1Femptie: 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)
1Femptie: 作DF、EG分別垂直AC於F、G12/04 19:27
2Femptie: 在梯形DEGF中DG=BE=6,DF=DB=812/04 19:27
3Femptie: FG^2=DE^2-(DF-EG)^2 ,得FG=4根號612/04 19:27
4Femptie: 又BC=CF,AB=AG 故FG=AB+BC-AC12/04 19:27
5Femptie: 直角三角形ABC中 2r=AB+BC-AC12/04 19:27
6Femptie: r12/04 19:27
7Femptie: 2 = FG/212/04 19:28
8Femptie: *** r=FG/212/04 19:28
9Femptie: 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
10Femptie: https://i.imgur.com/t4fRmfb.png12/04 19:37
14Femptie: 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)
3Femptie: !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)
5Femptie: 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)
1Femptie: 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
2Femptie: 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
3Femptie: 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)
1Femptie: 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
2Femptie: 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)
4Femptie: 任意的局部2x2都要有4色09/14 23:17
5Femptie: https://i.imgur.com/OJhJPlW.jpg09/15 00:00
6Femptie: 中間4格隨意填色,之後考慮角落的顏色09/15 00:00
7Femptie: 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
8Femptie: 的一排有2種組態。09/15 00:00
9Femptie: 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
10Femptie: ,如果是紅色則有2種,若是綠色則只有1種09/15 00:00
11Femptie: 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
12Femptie: 的組態。09/15 00:01
13Femptie: 但答案會跟是否允許旋轉/翻面有關係09/15 00:05
14Femptie: 都不能的話就 4!*7 ,可以旋轉就3!*7,能旋轉+翻面09/15 00:10
15Femptie: 6*709/15 00:10