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[中學] 請問第3.5選項

[ Math ]4 留言, 推噓總分: 0

作者: jenshi - 發表於 2025/12/05 23:03(1月前)

1^F→jack7775kimo: 都反證想想看:(3)如果有實數解,y=ax^2+bx+c長怎樣?12/05 23:27

2^F→jack7775kimo: 會跟圖(1)有什麼矛盾12/05 23:27

[公告] 買賣書籍請於本篇文章推文置底

[ Math ]302 留言, 推噓總分: +132

作者: calvin4 - 發表於 2014/03/05 22:45(12年前)

302^F推jack7775kimo: https://reurl.cc/9bvDAO https://reurl.cc/2lYKAv12/04 18:09

298^F→jack7775kimo: https://reurl.cc/3bXKZX PS:可站內信,會減去平台費12/04 18:03

299^F→jack7775kimo: https://reurl.cc/zK1q40 Kallenberg機率論12/04 18:04

300^F→jack7775kimo: https://reurl.cc/bNVWAy Malliavin隨機分析12/04 18:05

301^F→jack7775kimo: https://reurl.cc/dqnQgD Doob的經典位勢論12/04 18:06

297^F推jack7775kimo: 售高等機率論&財務數學6本原文書12/04 18:02

166^F推jack7775kimo: [售]"The Fractal Geometry of Nature" Mandelbrot04/16 22:30

167^F→jack7775kimo: 詳細: https://reurl.cc/zKgky04/16 22:35

173^F推jack7775kimo: 售 Serge Lang兩本書 https://tinyurl.com/yy8aae7j08/22 08:26

174^F→jack7775kimo: https://tinyurl.com/y5sky5fr08/22 08:27

178^F推jack7775kimo: [售] 多本線代與Dummit10/14 08:31

179^F→jack7775kimo: https://tinyurl.com/y6q9lv9v10/14 08:36

180^F→jack7775kimo: https://tinyurl.com/y6pohq8r10/14 08:38

181^F→jack7775kimo: https://tinyurl.com/y4n6zegk10/21 06:51

182^F→jack7775kimo: [售] Hungerford https://tinyurl.com/y4da9mte10/21 06:54

183^F推jack7775kimo: [售] https://reurl.cc/e5MyLx Yosida 泛函分析11/10 18:59

188^F推jack7775kimo: [售] Jech 集合論 https://reurl.cc/z8A21a04/19 09:11

189^F→jack7775kimo: [售]Yeh 實分析 https://reurl.cc/X6LORR04/19 09:13

191^F推jack7775kimo: [售] Pugh Real Mathematical Analysis06/10 20:26

192^F→jack7775kimo: https://reurl.cc/nzA1Wv06/10 20:26

193^F推jack7775kimo: [售] Loomis-Sternberg的高微及兩本Banach spaces06/26 09:23

194^F→jack7775kimo: https://reurl.cc/mnjVW7 https://reurl.cc/qdjQzn06/26 09:24

195^F→jack7775kimo: https://reurl.cc/z8jxgQ06/26 09:24

196^F→jack7775kimo: https://reurl.cc/rxjMxx https://reurl.cc/0o87ox06/26 09:34

200^F推jack7775kimo: [售] 近世代數(聯經) https://reurl.cc/nz9gVe07/24 22:51

201^F→jack7775kimo: 古書初等微分幾何講稿 https://reurl.cc/Kkmgxn07/24 22:51

202^F→jack7775kimo: 古書 Apostol https://reurl.cc/b5L1rE07/26 06:54

203^F→jack7775kimo: The KAM Story (Dumas著) https://reurl.cc/V6ryxn07/26 06:57

204^F→jack7775kimo: [售]Duistermaat-Kolk高微 https://reurl.cc/zzgxE008/12 20:15

205^F→jack7775kimo: [售]Davidson-Donsig高微 https://reurl.cc/ldkGWq08/12 20:26

206^F→jack7775kimo: [賣]微積分4500題凡異出版https://reurl.cc/A81N5Z08/16 15:03

207^F→jack7775kimo: [售] Modern Geometry 跟 Modern Fourier Analysis08/21 09:17

208^F→jack7775kimo: https://reurl.cc/XkkEoj https://reurl.cc/Oqqvdr08/21 09:17

214^F→jack7775kimo: [售] 古早原文書 #1Vcpn6KQ (barterbooks)11/06 05:15

215^F→jack7775kimo: [售] 自藏原文書 #1Vf6RX7O (barterbooks)11/06 05:16

222^F→jack7775kimo: #1W8q75nN (barterbooks) #1W8mJUqm (barterbooks)02/10 22:41

223^F→jack7775kimo: #1WCDHfrN (barterbooks) #1WCDKN6f (barterbooks)02/20 17:24

226^F→jack7775kimo: [售] 原文書 #1WzVCIG7 (barterbooks)07/20 05:50

227^F→jack7775kimo: [售] 中文書 #1WzVBAvG (barterbooks)07/20 05:50

228^F→jack7775kimo: [售] 中文書 #1XD-kwUH (barterbooks)09/08 06:55

229^F→jack7775kimo: [售] 原文書 #1XD-lIV2 (barterbooks)09/08 06:55

233^F→jack7775kimo: [售] 中文書 #1Xn3WlVW (barterbooks)12/23 17:35

234^F→jack7775kimo: [售] 原文 #1Xn3YLsJ (barterbooks)12/23 17:36

237^F推jack7775kimo: [售] 更新29本原文書 #1X_x-baW (barterbooks)02/06 21:58

238^F→jack7775kimo: #1X_x-baW(barterbooks)02/06 21:59

239^F→jack7775kimo: [售] 更新29本原文書 #1X_x-baW (barterbooks)02/08 11:50

246^F→jack7775kimo: [售] 中文數學書 #1YG_U0C6 (barterbooks)03/30 14:31

247^F→jack7775kimo: [售] 原文書 #1YG_UTva (barterbooks)03/30 14:31

248^F→jack7775kimo: 售原文書 #1YY3Z6TD (barterbooks)05/21 16:18

249^F→jack7775kimo: 售中文 #1YZG6bWT (barterbooks)05/25 00:03

250^F→jack7775kimo: 售 #1Z6Auz3-(barterbooks) (露天現有免運活動)09/10 09:17

251^F→jack7775kimo: 售原文書 #1Z7fMf6j(barterbooks)09/12 16:14

252^F推jack7775kimo: 售 #1ZS1mr7q (barterbooks) (露天11月免運)11/13 06:22

253^F→jack7775kimo: 售中文書 #1ZT8GXF5 (barterbooks)11/16 14:33

254^F→jack7775kimo: 售中文書 #1ZqpOTnR (barterbooks)01/27 20:44

255^F→jack7775kimo: [售]更新6本原文書 #1ZqpbBdC (barterbooks)01/27 20:45

256^F→jack7775kimo: #1ZspAoZ6 (barterbooks) 物理原文書02/03 23:05

257^F→jack7775kimo: 承上,3/31前,露天有7-11全站運費49元優惠03/09 18:57

258^F→jack7775kimo: 承上,露天4月一整個月萊爾富免運費03/28 07:32

262^F→jack7775kimo: 售原文書 #1ax1ajsr (barterbooks)08/28 11:51

263^F→jack7775kimo: #1ax1aSk2 (barterbooks) <-物理相關08/28 11:52

264^F→jack7775kimo: 售中文教科書 #1ax1ZMwI (barterbooks)08/28 11:52

265^F→jack7775kimo: 承上露天 9/9以前全家199以上免運活動09/08 23:10

266^F推jack7775kimo: #1b1Ytjjb(barterbooks) 新增6本原文書09/17 10:24

267^F→jack7775kimo: #1bBbkS-B (barterbooks) 新增3本10/17 19:28

268^F推jack7775kimo: https://reurl.cc/edb4Ab 售原文書11/15 09:48

269^F→jack7775kimo: https://reurl.cc/L6xzxK 售中文書11/15 09:51

270^F→jack7775kimo: 12/11-13 19:00-0:59 露天有萊爾富99免運活動12/11 20:35

271^F推jack7775kimo: https://reurl.cc/kyG5Dd11/10 19:31

272^F→jack7775kimo: https://reurl.cc/KlV6N9 售Exercises in Analysis11/10 19:32

273^F→jack7775kimo: 兩大冊,不含運各2500元,走露天平台多5%11/10 19:34

274^F推jack7775kimo: https://reurl.cc/kMEOdd 售Feller機率論第二冊12/07 13:19

275^F→jack7775kimo: 不含運1640元,走露天多5%平台費用12/07 13:20

276^F推jack7775kimo: 售多本未使用精裝書&古書老書,走露天多5%平台費用02/04 15:38

277^F→jack7775kimo: https://reurl.cc/EgvaM1 https://reurl.cc/r3Vnjy02/04 15:39

278^F→jack7775kimo: https://reurl.cc/Q5oOAo https://reurl.cc/lNOMrE02/04 15:40

279^F→jack7775kimo: https://reurl.cc/DKp8rO https://reurl.cc/mRQN1G02/04 15:41

280^F→jack7775kimo: https://reurl.cc/XZb9nM https://reurl.cc/86VOgo02/04 15:43

281^F推jack7775kimo: https://reurl.cc/p9jye4 https://reurl.cc/A6e8vZ02/08 09:47

282^F推jack7775kimo: 售陶哲軒：龐加萊的遺產(Part I+II)04/02 11:20

283^F→jack7775kimo: https://reurl.cc/QYLMD9 未含運站內信720元04/02 11:21

284^F推jack7775kimo: https://reurl.cc/K8MoA9 售Oksendal等的SPDE,680元04/09 21:31

285^F推jack7775kimo: 售經典著作3本(動態系統,複變,大學部離散):07/21 16:03

286^F→jack7775kimo: https://reurl.cc/bmkn9o07/21 16:03

287^F→jack7775kimo: https://reurl.cc/4N43dX https://reurl.cc/5RG2d607/21 16:04

288^F推jack7775kimo: https://reurl.cc/OmOkjg 售Arnold老書:ergodic10/08 18:46

289^F推jack7775kimo: https://reurl.cc/8Xb5Vo 售Fractional Calculus11/21 18:01

290^F推jack7775kimo: https://reurl.cc/RYdDMZ 售Equations of Math.Phy.11/21 18:03

291^F推jack7775kimo: 售AI/統計機器學習原文書*3:11/21 18:15

292^F→jack7775kimo: https://reurl.cc/8b5Dzd https://reurl.cc/QVWYDo11/21 18:16

293^F推jack7775kimo: https://reurl.cc/QVWYD0 貝葉斯的博弈(中文)11/21 18:19

294^F推jack7775kimo: https://reurl.cc/0a6Kq9 售Springer習題集11/21 18:29

295^F推jack7775kimo: 售數學教育/科普原文書*2:11/25 14:45

296^F→jack7775kimo: https://reurl.cc/1keqvQ https://reurl.cc/qKk6nR11/25 14:47

[微積] 請問各位一題極限

[ Math ]7 留言, 推噓總分: 0

作者: ssuin - 發表於 2025/10/14 11:04(2月前)

3^F→jack7775kimo: (1-x^k) = (1-x)(1+x+...+x^{k-1})10/14 13:09

4^F→jack7775kimo: 然後發現分母可以提出mn只剩下(x-1),之後把limit10/14 13:29

5^F→jack7775kimo: 解讀成是微分在x=110/14 13:30

6^F→jack7775kimo: 這應該可以對實數m,n成立,查一下果然有,而且很聰明10/14 13:38

7^F→jack7775kimo: https://reurl.cc/axo08Z10/14 13:38

[代數] 算術、幾何、調和平均一樣

[ Math ]7 留言, 推噓總分: +2

作者: knuk - 發表於 2025/02/21 22:03(10月前)

2^F→jack7775kimo: ex:假設x=y+k,利用第一個限制發現k是偶數,etc02/22 00:05

4^F→jack7775kimo: 我怎麼找到（40,10）02/22 00:34

5^F→jack7775kimo: 忘了說不是問AI02/22 00:37

1^F→jack7775kimo: 有沒有試著先找到至少一組(x,y)? 代表最小值存在02/22 00:00

請問大大一題對數

[ Math ]2 留言, 推噓總分: +1

作者: rfvbgtsport - 發表於 2024/11/26 17:30(1年前)

1^F→jack7775kimo: Hint: x-10^5 ln(x) <= 0, 對左邊微分看遞增遞減11/26 18:46

[中學] 級數

[ Math ]5 留言, 推噓總分: 0

作者: weiger1 - 發表於 2024/11/16 03:21(1年前)

1^F→jack7775kimo: Hint: n^2 - 1 = (n+1)(n-1);11/16 09:50

2^F→jack7775kimo: a_k*a_{k-1}*a_{k-2}*...可否因此簡化?11/16 09:50

[中學] 三角一題

[ Math ]11 留言, 推噓總分: +4

作者: hero010188 - 發表於 2024/10/06 01:21(1年前)

9^F→jack7775kimo: 請問30度那個角如何得出,謝謝.10/09 06:07

11^F→jack7775kimo: OK,got it. 三角形ACE與其全等10/09 10:59

[中學] 請問數列規律？

[ Math ]13 留言, 推噓總分: +5

作者: Stifmeister - 發表於 2024/09/12 16:32(1年前)

3^F→jack7775kimo: 會不會是質數的13打成1209/12 19:05

[中學] a and (1-a)'s power

[ Math ]23 留言, 推噓總分: +2

作者: saltlake - 發表於 2024/09/02 17:06(1年前)

1^F→jack7775kimo: 何不用軟體畫圖or詠唱gpt看看呢^^09/02 18:04

[中學] 想請教一題高中數學

[ Math ]19 留言, 推噓總分: +3

作者: kill801113 - 發表於 2024/08/20 15:15(1年前)

2^F→jack7775kimo: 丟WolframAlpha偷看結果是0.4934xxx,有精確解?08/20 18:34

3^F→jack7775kimo: 不知道有沒有用:去gpt詠唱一下看到那三個cos是8x^3-08/20 18:37

4^F→jack7775kimo: 6x+1=0的根,但沒想到要如何連過去它們開三次方後的08/20 18:37

5^F→jack7775kimo: 和08/20 18:37

10^F→jack7775kimo: 比較暴力就做下界估計:為了把角度弄小,4pi/9那要改08/20 22:45

11^F→jack7775kimo: 成sin,然後8/9pi改成pi/9;這樣方便做級數展開08/20 22:47

12^F→jack7775kimo: sine08/20 22:48

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