Cau truc de thi DH CD THPT mon Toan

Mon Toan (tot nghiep THPT)

* Phan chung danh cho tat ca thi sinh: (7 diem)

Cau I (3 diem):
- Khao sat, 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, 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 (3 diem):
- Ham so, phuong trinh, bat phuong trinh mu va logarit.
- Gia tri lon nhat va nho nhat cua ham so.
- Tim nguyen ham, tinh tich phan.
- Bai toan tong hop.

Cau III (1 diem):
Hinh hoc khong gian (tong hop): Dien tich xung quanh cua hinh non tron xoay, hinh tru tron xoay; tinh the tich khoi lang tru, khoi chop, khoi non tron xoay, khoi tru tron xoay; dien tich mat cau va the tich khoi cau.

* Phan rieng (3 diem):

Thi sinh hoc chi duoc lam mot trong hai phan (phan 1 hoac 2):

Theo chuong trinh Chuan:

Cau IV.a (2 diem):
Phuong phap toa do trong khong gian:
- Xac dinh toa do cua diem, vecto.
- 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 V.a (1 diem):
- So phuc: modun cua so phuc, cac phep toan tren so phuc; can bac hai cua so thuc am; phuong trinh bac hai he so thuc co biet thuc D am.
- Ung dung cua tich phan: tinh dien tich hinh phang, the tich khoi tron xoay.

Theo chuong trinh nang cao:

Cau IV.b (2 diem):
Phuong phap toa do trong khong gian:
- Xac dinh toa do cua diem, vecto.
- 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 V.b (1 diem):
- So phuc: Modun cua so phuc, cac phep toan tren so phuc; can bac hai cua so phuc; phuong trinh bac hai voi he so phuc; dang luong giac cua so phuc.
- Doi 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.
- Ung dung cua tich phan: tinh dien tich hinh phang, the tich khoi tron xoay.

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.