Cau truc de thi DH CD THPT mon Toan

Tags: Cau V, Cau IV, Cuc Khao, do thi cua ham, the tich khoi, tinh dien tich, cua ham so, non tron xoay, mat phang, de thi, duong thang, so phuc, toa do, cau truc, 1


Cuc Khao thi va Kiem dinh chat luong (Bo GD&DT) vua cong bo cau truc de thi tot nghiep THPT va tuyen sinh DH, CD mon Toan. De thi nam nay co phan thi chung va phan thi rieng de thi sinh lua chon.

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.

Nguon: Bo GD&DT

Viet Bao

Tìm hiểu: Cau V, Cau IV, Cuc Khao, do thi cua ham, the tich khoi, tinh dien tich, cua ham so, non tron xoay, mat phang, de thi, duong thang, so phuc, toa do, cau truc, 1

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