Mon Toan (tuyen sinh DH, CD) I. Phan chung cho tat ca thi sinh: (7 diem) Cau I (2 diem): - Khao sat su bien thien va ve do thi cua ham so. - Cac bai toan lien quan den ung dung cua dao ham va do thi cua ham so: chieu bien thien cua ham so; cuc tri; gia tri lon nhat va nho nhat cua ham so; tiep tuyen, tiem can (dung va ngang) cua do thi ham so; tim tren do thi nhung diem co tinh chat cho truoc, tuong giao giua hai do thi (mot trong hai do thi la duong thang)... Cau II (2 diem): - Phuong trinh, bat phuong trinh; he phuong trinh dai so. - Cong thuc luong giac, phuong trinh luong giac. Cau III (1 diem): - Tim gioi han. - Tim nguyen ham, tinh tich phan. - Ung dung cua tich phan: tinh dien tich hinh phang, the tich khoi tron xoay. Cau IV (1 diem): Hinh hoc khong gian (tong hop): quan he song song, quan he vuong goc cua duong thang, mat phang; dien tich xung quanh cua hinh non tron xoay, hinh tru tron xoay; the tich khoi lang tru, khoi chop, khoi non tron xoay, khoi tru tron xoay; tinh dien tich mat cau va the tich khoi cau. Cau V. (1 diem): Bai toan tong hop II. Phan rieng (3 diem) Thi sinh chi duoc lam mot trong hai phan (phan 1 hoac phan 2). Theo chuong trinh chuan: Cau VI.a (2 diem): Phuong phap toa do trong mat phang va trong khong gian: - Xac dinh toa do cua diem, vecto. - Duong tron, elip, mat cau. - Viet phuong trinh mat phang, duong thang. - Tinh goc, tinh khoang cach tu diem den mat phang; vi tri tuong doi cua duong thang, mat phang va mat cau. Cau VII.a (1 diem): - So phuc. - To hop, xac suat, thong ke. - Bat dang thuc; cuc tri cua bieu thuc dai so. Theo chuong trinh nang cao: Cau VI.b (2 diem) Phuong phap toa do trong mat phang va trong khong gian: - Xac dinh toa do cua diem, vecto. - Duong tron, ba duong conic, mat cau. - Viet phuong trinh mat phang, duong thang. - Tinh goc; tinh khoang cach tu diem den duong thang, mat phang; khoang cach giua hai duong thang; vi tri tuong doi cua duong thang, mat phang va mat cau. Cau VII.b (1 diem): - So phuc. - Do thi ham phan thuc huu ti dang y = (ax2 + bx + c) / (px + q) va mot so yeu to lien quan. - Su tiep xuc cua hai duong cong. - He phuong trinh mu va logarit. - To hop, xac suat, thong ke. - Bat dang thuc. Cuc tri cua bieu thuc dai so. |