Bài giảng Hình học lớp 12 - Tiết 31, Bài 2: Luyện tập Phương trình mặt phẳng

Nội dung text: Bài giảng Hình học lớp 12 - Tiết 31, Bài 2: Luyện tập Phương trình mặt phẳng

1. Tiết: 31 LUYỆN TẬP PHƯƠNG TRÌNH MẶT PHẲNG
2. ĐƯỜNG LÊN ĐỈNH OLYMPIA
3. LUẬTLUẬT CHƠICHƠI 11 KHỞI ĐỘNG 22 TĂNG TỐC 33 VỀ ĐÍCH
4. VÒNG 1 KHỞI ĐỘNG
5. VÒNG 1: KHỞI ĐỘNG 1. Các đội cùng trả lời 7 câu hỏi, mỗi câu được suy nghĩ trong 20s, khi hết 20s các đội sẽ đưa phương án lựa chọn của mình. 2. Nếu trả lời đúng được 10 điểm. Trả lời sai không được điểm. 3. Sau 20s suy nghĩ, đội nào đưa phương án lựa chọn chậm hoặc không đưa ra được phương án sẽ không có điểm.
6. 1 A. B. C. D. 10121113141516171819202043876591 ANS TIME
7. Ghép cột VÞ trÝ cña mÆt ph¼ng 2 D¹ng ph­ư¬ng tr×nh so víi c¸c yÕu tè của hÖ to¹ ®é 1). 2x+y-1= 0 A. Đi qua gốc tọa độ 2). 5y-9 = 0 B. Song song với mặt phẳng (Oxy) 10121113141516171819202043876591 3). y-7z = 0 C. Song song với mặt phẳng (Oyz) 4). 3x+2=0 D. Song song với mặt phẳng (Oxz) E. Song song với trục Oz ANS TIME
8. Cho ba điểm M(0;0;-1), N(3;0;0), P(0;4;0). Mặt phẳng 3 (MNP) có phương trình là A. B. 10121113141516171819200243876591 C. D. ANS TIME
9. 4 Phương trình mặt phẳng đi qua điểm M(1;2;-3) và vuông góc với AB, biết A(2;-1;0), B(3;-3;3) là A. B. C. D. 10121113141516171819202043876591 HƯỚNG DẪN ANS TIME
10. 5 Cho mặt phẳng Điểm nào sau đây thuộc mặt phẳng (P)? A. B. C. D. 10121113141516171819202043876591 HƯỚNG DẪN ANS TIME
11. 6 Cho 2 mặt phẳng (P): x-3y+2z-5=0 và (Q): 2x-4y-7z=0. Vị trí tương đối của (P) và (Q) là A. Song song. B. Trùng nhau. C. Cắt nhưng không vuông góc. D. Vuông góc. 10121113141516171819202043876591 HƯỚNG DẪN Mặt phẳng (P) và (Q) có vectơ pháp tuyến vuông góc với nhau vì 1.2+(-3)(-4) +2(-7)=0 ANS TIME
12. Biết mặt cầu (S) có tâm I(2;0;-1) tiếp xúc với mặt phẳng 7 (P): 2x-y+2z+13=0. Tính bán kính của mặt cầu. A. B. C. D. 10121113141516171819202043876591 HƯỚNG DẪN ANS TIME
13. VÒNG 2 TĂNG TỐC
14. VÒNG 2: TĂNG TỐC 1. Có 2 câu hỏi trong phần tăng tốc . Các đội làm vào bảng phụ, hoàn thành xong treo lên bảng trong thời gian không quá 3 phút. 2. Đội làm đúng và nhanh nhất sẽ được 40 điểm. Đội làm đúng và nhanh thứ 2 sẽ được 30 điểm. Đội làm đúng và nhanh thứ 3 sẽ được 20 điểm. Đội làm đúng và nhanh thứ 4 sẽ được 10 điểm. Đội làm sai hoặc chưa hoàn thành không có điểm.
15. Câu 1: Viết phương trình tổng quát của mặt phẳng trung trực của đoạn thẳng MN với M(2;3;7) và N(4;1;3). 05:0004:5904:5804:5704:5604:5504:5404:5304:5204:5104:5004:4904:4804:4704:4604:4504:4404:4304:4204:4104:4004:3904:3804:3704:3604:3504:3404:3304:3204:3104:3004:2904:2804:2704:2604:2504:2404:2304:2204:2104:2004:1904:1804:1704:1604:1504:1404:1304:1204:1104:1004:0904:0804:0704:0604:0504:0404:0304:0204:0104:0003:5903:5803:5703:5603:5503:5403:5303:5203:5103:5003:4903:4803:4703:4603:4503:4403:4303:4203:4103:4003:3903:3803:3703:3603:3503:3403:3303:3203:3103:3003:2903:2803:2703:2603:2503:2403:2303:2203:2103:2003:1903:1803:1703:1603:1503:1403:1303:1203:1103:1003:0903:0803:0703:0603:0503:0403:0303:0203:0103:0002:5902:5802:5702:5602:5502:5402:5302:5202:5102:5002:4902:4802:4702:4602:4502:4402:4302:4202:4102:4002:3902:3802:3702:3602:3502:3402:3302:3202:3102:3002:2902:2802:2702:2602:2502:2402:2302:2202:2102:2002:1902:1802:1702:1602:1502:1402:1302:1202:1102:1002:0902:0802:0702:0602:0502:0402:0302:0202:0102:0001:5901:5801:5701:5601:5501:5401:5301:5201:5101:5001:4901:4801:4701:4601:4501:4401:4301:4201:4101:4001:3901:3801:3701:3601:3501:3401:3301:3201:3101:3001:2901:2801:2701:2601:2501:2401:2301:2201:2101:2001:1901:1801:1701:1601:1501:1401:1301:1201:1101:1001:0901:0801:0701:0601:0501:0401:0301:0201:0101:0000:5900:5800:5700:5600:5500:5400:5300:5200:5100:5000:4900:4800:4700:4600:4500:4400:4300:4200:4100:4000:3900:3800:3700:3600:3500:3400:3300:3200:3100:3000:2900:2800:2700:2600:2500:2400:2300:2200:2100:2000:1900:1800:1700:1600:1500:1400:1300:1200:1100:1000:0900:0800:0700:0600:0500:0400:0300:0200:0100:00 TG
16. Câu 1: Viết phương trình tổng quát của mặt phẳng trung trực của đoạn thẳng MN với M(2;3;7) và N(4;1;3) .M .I P) N
17. Câu 2: Cho ba điểm A(5;1;3), B(5;0;4), C(4;0;6).Viết phương trình mặt phẳng (ABC) . 05:0004:5904:5804:5704:5604:5504:5404:5304:5204:5104:5004:4904:4804:4704:4604:4504:4404:4304:4204:4104:4004:3904:3804:3704:3604:3504:3404:3304:3204:3104:3004:2904:2804:2704:2604:2504:2404:2304:2204:2104:2004:1904:1804:1704:1604:1504:1404:1304:1204:1004:0904:0804:0704:0604:0504:0404:0304:0204:0104:0003:5903:5803:5703:5603:5503:5403:5303:5203:5103:5003:4903:4803:4703:4603:4503:4403:4303:4203:4103:4003:3903:3803:3703:3603:3503:3403:3303:3203:3103:3003:2903:2803:2703:2603:2503:2403:2303:2203:2103:2003:1903:1803:1703:1603:1503:1403:1303:1203:1003:0903:0803:0703:0603:0503:0403:0303:0203:0103:0002:5902:5802:5702:5602:5502:5402:5302:5202:5102:5002:4902:4802:4702:4602:4502:4402:4302:4202:4102:4002:3902:3802:3702:3602:3502:3402:3302:3202:3102:3002:2902:2802:2702:2602:2502:2402:2302:2202:2102:2002:1902:1802:1702:1602:1502:1402:1302:1202:1002:0902:0802:0702:0602:0502:0402:0302:0202:0102:0001:5901:5801:5701:5601:5501:5401:5301:5201:5101:5001:4901:4801:4701:4601:4501:4401:4301:4201:4101:4001:3901:3801:3701:3601:3501:3401:3301:3201:3101:3001:2901:2801:2701:2601:2501:2401:2301:2201:2101:2001:1901:1801:1701:1601:1501:1401:1301:1201:1001:0901:0801:0701:0601:0501:0401:0301:0201:0101:0000:5900:5800:5700:5600:5500:5400:5300:5200:5100:5000:4900:4800:4700:4600:4500:4400:4300:4200:4100:4000:3900:3800:3700:3600:3500:3400:3300:3200:3100:3000:2900:2800:2700:2600:2500:2400:2300:2200:2100:2000:1900:1800:1700:1600:1500:1400:1300:1200:1000:0900:0800:0700:0600:0500:0400:0300:0200:0100:0004:1103:1102:1101:1100:11 TG
18. Câu 2: Cho A(5;1;3), B(5;0;4), C(4;0;6). Viết phương trình mặt phẳng (ABC) A. .B .C phương trình mặt phẳng (ABC) : -2(x-5)-(y-1)-(z-3)=0 -2x-y-z+14=0
19. VÒNG 3 VỀ ĐÍCH
20. VÒNG 3: VỀ ĐÍCH 1. Có 5 câu hỏi trong phần về đích. Mỗi đội sẽ chọn 1 câu hỏi sau đó làm vào bảng phụ và treo lên bảng trong thời gian không quá 4 phút. 2. Đội chơi làm đúng sẽ được 30 điểm. Đội chơi làm sai hoặc chưa hoàn thành thì đội chơi khác được bổ sung, nếu đúng được 30 điểm. Đội làm sai hoặc chưa hoàn thành không có điểm
21. Câu 1 Câu 2 Câu 3 Câu 4 Câu 5
22. Câu 1: Mặt phẳng (P) chứa 2 điểm A(1;-1;2), B(2;1;1) và vuông góc với (Q): x+y+z-1=0 có phương trình là A. 3x-2y-z-3=0. B. -2x+y+z-2=0. C.-x+y=0 . D.3x-2y-z+3=0. 05:0004:5904:5804:5704:5604:5504:5404:5304:5204:5104:5004:4904:4804:4704:4604:4504:4404:4304:4204:4104:4004:3904:3804:3704:3604:3504:3404:3304:3204:3104:3004:2904:2804:2704:2604:2504:2404:2304:2204:2104:2004:1904:1804:1704:1604:1504:1404:1304:1204:1004:0904:0804:0704:0604:0504:0404:0304:0204:0104:0003:5903:5803:5703:5603:5503:5403:5303:5203:5103:5003:4903:4803:4703:4603:4503:4403:4303:4203:4103:4003:3903:3803:3703:3603:3503:3403:3303:3203:3103:3003:2903:2803:2703:2603:2503:2403:2303:2203:2103:2003:1903:1803:1703:1603:1503:1403:1303:1203:1003:0903:0803:0703:0603:0503:0403:0303:0203:0103:0002:5902:5802:5702:5602:5502:5402:5302:5202:5102:5002:4902:4802:4702:4602:4502:4402:4302:4202:4102:4002:3902:3802:3702:3602:3502:3402:3302:3202:3102:3002:2902:2802:2702:2602:2502:2402:2302:2202:2102:2002:1902:1802:1702:1602:1502:1402:1302:1202:1002:0902:0802:0702:0602:0502:0402:0302:0202:0102:0001:5901:5801:5701:5601:5501:5401:5301:5201:5101:5001:4901:4801:4701:4601:4501:4401:4301:4201:4101:4001:3901:3801:3701:3601:3501:3401:3301:3201:3101:3001:2901:2801:2701:2601:2501:2401:2301:2201:2101:2001:1901:1801:1701:1601:1501:1401:1301:1201:1001:0901:0801:0701:0601:0501:0401:0301:0201:0101:0000:5900:5800:5700:5600:5500:5400:5300:5200:5100:5000:4900:4800:4700:4600:4500:4400:4300:4200:4100:4000:3900:3800:3700:3600:3500:3400:3300:3200:3100:3000:2900:2800:2700:2600:2500:2400:2300:2200:2100:2000:1900:1800:1700:1600:1500:1400:1300:1200:1000:0900:0800:0700:0600:0500:0400:0300:0200:0100:0004:1103:1102:1101:1100:11 TG
23. Câu 2: Cho 2 mặt phẳng (P): 3x-2y+2z+7=0 và (Q): 5x-4y+3z-1=0. Mặt phẳng đi qua gốc tọa độ đồng thời vuông góc với (P) và (Q) có phương trình là A. 2x-y-2z=0. B. 2x-y+2z=0. C.2x+y-2z=0 . D.2x+y-2z+1=0. 05:0004:5904:5804:5704:5604:5504:5404:5304:5204:5104:5004:4904:4804:4704:4604:4504:4404:4304:4204:4104:4004:3904:3804:3704:3604:3504:3404:3304:3204:3104:3004:2904:2804:2704:2604:2504:2404:2304:2204:2104:2004:1904:1804:1704:1604:1504:1404:1304:1204:1004:0904:0804:0704:0604:0504:0404:0304:0204:0104:0003:5903:5803:5703:5603:5503:5403:5303:5203:5103:5003:4903:4803:4703:4603:4503:4403:4303:4203:4103:4003:3903:3803:3703:3603:3503:3403:3303:3203:3103:3003:2903:2803:2703:2603:2503:2403:2303:2203:2103:2003:1903:1803:1703:1603:1503:1403:1303:1203:1003:0903:0803:0703:0603:0503:0403:0303:0203:0103:0002:5902:5802:5702:5602:5502:5402:5302:5202:5102:5002:4902:4802:4702:4602:4502:4402:4302:4202:4102:4002:3902:3802:3702:3602:3502:3402:3302:3202:3102:3002:2902:2802:2702:2602:2502:2402:2302:2202:2102:2002:1902:1802:1702:1602:1502:1402:1302:1202:1002:0902:0802:0702:0602:0502:0402:0302:0202:0102:0001:5901:5801:5701:5601:5501:5401:5301:5201:5101:5001:4901:4801:4701:4601:4501:4401:4301:4201:4101:4001:3901:3801:3701:3601:3501:3401:3301:3201:3101:3001:2901:2801:2701:2601:2501:2401:2301:2201:2101:2001:1901:1801:1701:1601:1501:1401:1301:1201:1001:0901:0801:0701:0601:0501:0401:0301:0201:0101:0000:5900:5800:5700:5600:5500:5400:5300:5200:5100:5000:4900:4800:4700:4600:4500:4400:4300:4200:4100:4000:3900:3800:3700:3600:3500:3400:3300:3200:3100:3000:2900:2800:2700:2600:2500:2400:2300:2200:2100:2000:1900:1800:1700:1600:1500:1400:1300:1200:1000:0900:0800:0700:0600:0500:0400:0300:0200:0100:0004:1103:1102:1101:1100:11 TG
24. Câu 3: Cho mặt cầu (S) có tâm I(3;2;-1) và điểm A(2;1;2). Mặt phẳng tiếp xúc với (S) tại A có phương trình là A. x+y+3z-9=0. B. x+y-3z+3=0. C. x+y-3z-8=0 . D. x-y-3z+3=0. 05:0004:5904:5804:5704:5604:5504:5404:5304:5204:5104:5004:4904:4804:4704:4604:4504:4404:4304:4204:4104:4004:3904:3804:3704:3604:3504:3404:3304:3204:3104:3004:2904:2804:2704:2604:2504:2404:2304:2204:2104:2004:1904:1804:1704:1604:1504:1404:1304:1204:1004:0904:0804:0704:0604:0504:0404:0304:0204:0104:0003:5903:5803:5703:5603:5503:5403:5303:5203:5103:5003:4903:4803:4703:4603:4503:4403:4303:4203:4103:4003:3903:3803:3703:3603:3503:3403:3303:3203:3103:3003:2903:2803:2703:2603:2503:2403:2303:2203:2103:2003:1903:1803:1703:1603:1503:1403:1303:1203:1003:0903:0803:0703:0603:0503:0403:0303:0203:0103:0002:5902:5802:5702:5602:5502:5402:5302:5202:5102:5002:4902:4802:4702:4602:4502:4402:4302:4202:4102:4002:3902:3802:3702:3602:3502:3402:3302:3202:3102:3002:2902:2802:2702:2602:2502:2402:2302:2202:2102:2002:1902:1802:1702:1602:1502:1402:1302:1202:1002:0902:0802:0702:0602:0502:0402:0302:0202:0102:0001:5901:5801:5701:5601:5501:5401:5301:5201:5101:5001:4901:4801:4701:4601:4501:4401:4301:4201:4101:4001:3901:3801:3701:3601:3501:3401:3301:3201:3101:3001:2901:2801:2701:2601:2501:2401:2301:2201:2101:2001:1901:1801:1701:1601:1501:1401:1301:1201:1001:0901:0801:0701:0601:0501:0401:0301:0201:0101:0000:5900:5800:5700:5600:5500:5400:5300:5200:5100:5000:4900:4800:4700:4600:4500:4400:4300:4200:4100:4000:3900:3800:3700:3600:3500:3400:3300:3200:3100:3000:2900:2800:2700:2600:2500:2400:2300:2200:2100:2000:1900:1800:1700:1600:1500:1400:1300:1200:1000:0900:0800:0700:0600:0500:0400:0300:0200:0100:0004:1103:1102:1101:1100:11 TG
25. Câu 3: Cho mặt cầu (S) có tâm I(3;2;-1) và điểm A(2;1;2). Mặt phẳng tiếp xúc với (S) tại A có phương trình là A. x+y+3z-9=0. B. x+y-3z+3=0. C. x+y-3z-8=0 . D. x-y-3z+3=0. I A
26. 05:0004:5904:5804:5704:5604:5504:5404:5304:5204:5104:5004:4904:4804:4704:4604:4504:4404:4304:4204:4104:4004:3904:3804:3704:3604:3504:3404:3304:3204:3104:3004:2904:2804:2704:2604:2504:2404:2304:2204:2104:2004:1904:1804:1704:1604:1504:1404:1304:1204:1004:0904:0804:0704:0604:0504:0404:0304:0204:0104:0003:5903:5803:5703:5603:5503:5403:5303:5203:5103:5003:4903:4803:4703:4603:4503:4403:4303:4203:4103:4003:3903:3803:3703:3603:3503:3403:3303:3203:3103:3003:2903:2803:2703:2603:2503:2403:2303:2203:2103:2003:1903:1803:1703:1603:1503:1403:1303:1203:1003:0903:0803:0703:0603:0503:0403:0303:0203:0103:0002:5902:5802:5702:5602:5502:5402:5302:5202:5102:5002:4902:4802:4702:4602:4502:4402:4302:4202:4102:4002:3902:3802:3702:3602:3502:3402:3302:3202:3102:3002:2902:2802:2702:2602:2502:2402:2302:2202:2102:2002:1902:1802:1702:1602:1502:1402:1302:1202:1002:0902:0802:0702:0602:0502:0402:0302:0202:0102:0001:5901:5801:5701:5601:5501:5401:5301:5201:5101:5001:4901:4801:4701:4601:4501:4401:4301:4201:4101:4001:3901:3801:3701:3601:3501:3401:3301:3201:3101:3001:2901:2801:2701:2601:2501:2401:2301:2201:2101:2001:1901:1801:1701:1601:1501:1401:1301:1201:1001:0901:0801:0701:0601:0501:0401:0301:0201:0101:0000:5900:5800:5700:5600:5500:5400:5300:5200:5100:5000:4900:4800:4700:4600:4500:4400:4300:4200:4100:4000:3900:3800:3700:3600:3500:3400:3300:3200:3100:3000:2900:2800:2700:2600:2500:2400:2300:2200:2100:2000:1900:1800:1700:1600:1500:1400:1300:1200:1000:0900:0800:0700:0600:0500:0400:0300:0200:0100:0004:1103:1102:1101:1100:11 TG
27. 05:0004:5904:5804:5704:5604:5504:5404:5304:5204:5104:5004:4904:4804:4704:4604:4504:4404:4304:4204:4104:4004:3904:3804:3704:3604:3504:3404:3304:3204:3104:3004:2904:2804:2704:2604:2504:2404:2304:2204:2104:2004:1904:1804:1704:1604:1504:1404:1304:1204:1004:0904:0804:0704:0604:0504:0404:0304:0204:0104:0003:5903:5803:5703:5603:5503:5403:5303:5203:5103:5003:4903:4803:4703:4603:4503:4403:4303:4203:4103:4003:3903:3803:3703:3603:3503:3403:3303:3203:3103:3003:2903:2803:2703:2603:2503:2403:2303:2203:2103:2003:1903:1803:1703:1603:1503:1403:1303:1203:1003:0903:0803:0703:0603:0503:0403:0303:0203:0103:0002:5902:5802:5702:5602:5502:5402:5302:5202:5102:5002:4902:4802:4702:4602:4502:4402:4302:4202:4102:4002:3902:3802:3702:3602:3502:3402:3302:3202:3102:3002:2902:2802:2702:2602:2502:2402:2302:2202:2102:2002:1902:1802:1702:1602:1502:1402:1302:1202:1002:0902:0802:0702:0602:0502:0402:0302:0202:0102:0001:5901:5801:5701:5601:5501:5401:5301:5201:5101:5001:4901:4801:4701:4601:4501:4401:4301:4201:4101:4001:3901:3801:3701:3601:3501:3401:3301:3201:3101:3001:2901:2801:2701:2601:2501:2401:2301:2201:2101:2001:1901:1801:1701:1601:1501:1401:1301:1201:1001:0901:0801:0701:0601:0501:0401:0301:0201:0101:0000:5900:5800:5700:5600:5500:5400:5300:5200:5100:5000:4900:4800:4700:4600:4500:4400:4300:4200:4100:4000:3900:3800:3700:3600:3500:3400:3300:3200:3100:3000:2900:2800:2700:2600:2500:2400:2300:2200:2100:2000:1900:1800:1700:1600:1500:1400:1300:1200:1000:0900:0800:0700:0600:0500:0400:0300:0200:0100:0004:1103:1102:1101:1100:11 TG
28. I R r P
29. Chúc mừng ĐỘI CHIẾN THẮNG
30. Củng cố, hướng dẫn về nhà. - Tìm phương trình tổng quát của mặt phẳng. - Bài toán liên quan đến khoảng cách từ một điểm đến một mặt phẳng - Bài toán liên quan giữa mặt phẳng và mặt cầu.
31. Củng cố, hướng dẫn về nhà.
32. Củng cố, hướng dẫn về nhà.
33. 4:19:41 PM