Giải toán 11 5.14 - giải toán 11 trang 122 tập 1 kết nối tri thức

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Pauw 19-03.25 32-07.75 6-02 13-02.5 JR Team Points: 8 4521 (729) (559) (483) (696) 2467 (851) (626) (577) ---------------------------------------------------------------------- 3 Sam Callinan 7.45 5.95m 7.29m 1.70m 9.25 4.13m 2:57.88 Wittenberg 19-06.25 23-11 5-07 13-06.5 SR Team Points: 6 4204 (729) (576) (324) (544) 2173 (692) (654) (685) ---------------------------------------------------------------------- 4 Michael Strange 7.19 5.77m 10.44m 1.58m 8.90 3.33m 3:01.35 Ohio Wesleyan 18-11.25 34-03 5-02.25 10-11 FR Team Points: 5 4172 (816) (537) (512) (449) 2314 (768) (439) (651) ---------------------------------------------------------------------- 5 Joshua Greville 7.55 5.83m 8.83m 1.76m 9.66 3.83m 2:52.63 Kenyon 19-01.5 28-11.75 5-09.25 12-06.75 SO Team Points: 4 4171 (697) (550) (416) (593) 2256 (607) (570) (738) ---------------------------------------------------------------------- 6 Luke Amburgey 7.65 5.94m 10.53m 1.70m 9.39 3.63m 3:10.05 Wittenberg 19-06 34-06.75 5-07 11-10.75 FR Team Points: 3 4049 (665) (574) (518) (544) 2301 (662) (517) (569) ---------------------------------------------------------------------- 7 Mack Fincham 7.75 5.14m 9.71m 1.79m 8.94 3.93m 3:20.41 Ohio Wesleyan 16-10.5 31-10.25 5-10.5 12-10.75 SO Team Points: 2 3965 (634) (409) (468) (619) 2130 (759) (598) (478) ---------------------------------------------------------------------- 8 Vell Robinson 7.47 6.21m 8.31m 1.61m 10.65 3.73m 3:28.51 Wooster 20-04.5 27-03.25 5-03.25 12-02.75 JR Team Points: 1 3592 (723) (632) (385) (472) 2212 (425) (543) (412) ---------------------------------------------------------------------- 9 Owen Smith 7.31 6.10m 9.32m 1.46m 9.87 2.53m 3:09.77 Wabash 20-00.25 30-07 4-09.5 8-03.5 FR 3574 (775) (608) (445) (360) 2188 (566) (248) (572) ---------------------------------------------------------------------- 10 Landon Miller 7.57 5.40m 10.78m 1.58m 10.46 2.93m 3:13.27 Wabash 17-08.75 35-04.5 5-02.25 9-07.25 SR 3470 (690) (461) (533) (449) 2133 (457) (340) (540) ---------------------------------------------------------------------- 11 Kit Evans 7.98 5.67m 9.36m 1.46m 11.49 3.13m 3:00.33 Oberlin 18-07.25 30-08.5 4-09.5 10-03.25 SO 3233 (565) (516) (447) (360) 1888 (295) (389) (661) ---------------------------------------------------------------------- 12 Nate Joven 7.49 5.31m 7.06m 1.49m 11.19 3.83m 3:40.76 Wabash 17-05.25 23-02 4-10.5 12-06.75 SO 3081 (716) (443) (311) (381) 1851 (339) (570) (321) ----------------------------------------------------------------------DNF Justin Tharayil 7.93 5.69m DNS DNS DNS DNS DNS Denison 18-08 SO (580) (521) (0) (0) (0) (0) (0) ----------------------------------------------------------------------

Tìm các số thực a cùng b sao để cho (mathop lim limits_x o 1 frac2x^2 - ax + 1x^2 - 3x + 1 = b)

Đề bài

Tìm các số thực a với b sao để cho (mathop lim limits_x o 1 frac2x^2 - ax + 1x^2 - 3x + 1 = b)

Phương pháp giải - Xem chi tiết

Cách tính giới hạn hàm số dạng (mathop lim limits_x o x_0 fracfleft( x ight)gleft( x ight)) khi (mathop lim limits_x o x_0 fleft( x ight) = mathop lim limits_x o x_0 gleft( x ight) = 0), trong đó f(x), g(x) là các đa thức hoặc căn thức.

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Vì (x = 1) là nghiệm của nhiều thức (x^2 - 3x + 1) bắt buộc đa thức (2x^2 - ax + 1) phải gồm nghiệm (x = 1)

Do đó, (2.1^2 - a + 1 = 0 Leftrightarrow a = 3)

Ta có: (mathop lim limits_x o 1 frac2x^2 - 3x + 1x^2 - 3x + 1 = mathop lim limits_x o 1 fracleft( 2x - 1 ight)left( x - 1 ight)left( x - 1 ight)left( x - 2 ight) = mathop lim limits_x o 1 frac2x - 1x - 2 = frac2.1 - 11 - 2 = - 1). Vậy (b = - 1)