Cau truc de thi tuyen sinh Dai hoc Cao dang mon Toan
Moi cac ban xem cau truc de thi tuyen sinh Dai Hoc - Cao Dang!
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: Ham so bac ba, ham trung phuong, ham phan thuc bac nhat tren bac nhat. Chi can lam vai cau trong cac de nam truoc la OK-OK.
- 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)…
100 Cau hoi phu cua thay Tran Si Tung.
Cac bai toan Tiep tuyen.
33 Dang toan lien quan KSHS.
Ve do thi ham so chua dau gia tri tuyet doi.
Cau II (2 diem):
- Phuong trinh, bat phuong trinh; he phuong trinh dai so.
Cac huong xu li phuong trinh vo ti.
Cac ki thuat giai he phuong trinh.
Phuong trinh, Bat phuong trinh, He PT hay, tong hop.
- 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.
Bai toan tong hop (1 diem) thuong ra 2 dang:
He thuc luong trong tam giac.
Ki thuat chung minh Bat dang thuc.
II. Phan rieng (3 diem)
Thi sinh chi duoc lam mot trong hai phan (phan 1 hoac phan 2).
1. 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. Bai tap tong hop.
Cau VII.a (1 diem):
- So phuc.
- To hop, xac suat, thong ke.
- Bat dang thuc; cuc tri cua bieu thuc dai so. (xem cau V)
2. Theo chuong trinh nang cao:
Cau VI.b (2 diem) (nhu cau VI.a)
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 = (ax^2 + 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.
