Đề KSCL Toán thi tốt nghiệp THPT 2022 cụm Lập Thạch – Sông Lô – Vĩnh Phúc
giới thiệu đến quý thầy, cô giáo và các em học sinh lớp 12 đề thi khảo sát chất lượng môn Toán ôn tập thi tốt nghiệp THPT năm học 2021 – 2022 cụm Lập Thạch – Sông Lô, tỉnh Vĩnh Phúc; đề thi có đáp án mã đề 000 101+109+117 105+113+121 103+111+119 107+115+123.
Trích dẫn đề KSCL Toán thi tốt nghiệp THPT 2022 cụm Lập Thạch – Sông Lô – Vĩnh Phúc:
+ Trong không gian Oxyz cho mặt cầu 2 2 2 Sx y z 1 1 2 1. Xét điểm M di động trên đường thẳng 112 21 2 xyz d. Qua M vẽ đường thẳng cắt mặt cầu (S) tại 2 điểm A B. Dựng mặt cầu tâm M bán kính MA MB. Khi đường tròn giao tuyến của 2 mặt cầu có diện tích nhỏ nhất thì M có tọa độ M abc. Giá trị của P abc 2 9 bằng?
+ Cắt một hình trụ có bán kính đáy là a bằng mặt phẳng vuông góc mặt đáy, ta được thiết diện là một hình chữ nhật ABCD có diện tích bằng 2 5a và thiết diện này chắn trên đáy một dây cung sao cho cung nhỏ tạo bởi dây này có số đo bằng 0 60. Tính diện tích toàn phần của hình trụ.
+ Tính thể tích phao bơi như hình săm xe như hình vẽ, không tính van săm.
Đề kiểm tra Toán 12 năm 2022 – 2023 trường Nguyễn Khuyến & Lê Thánh Tông
Khảo Sát Toán 12 THPT Hàm Long 2022 – 2023
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