Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Sat, 28 Mar 2026 08:14:04 +0000 vi hourly 1 https://wordpress.org/?v=7.1.3 Đề toán 2022 [Mức độ 4] Xét tất cả các số thực  \(x,y\) sao cho \({a^{4x – {{\log }_5}{a^2}}} \le {25^{40 – {y^2}}}\) với mọi số thực dương \(a\). Giá trị lớn nhất của biểu thức \(P = {x^2} + {y^2} + x – 3y\) bằng https://booktoan.com/de-toan-2022-muc-do-4-xet-tat-ca-cac-so-thuc-xy-sao-cho-a4x-log-_5a2-le-2540-y2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc-p-x.html https://booktoan.com/de-toan-2022-muc-do-4-xet-tat-ca-cac-so-thuc-xy-sao-cho-a4x-log-_5a2-le-2540-y2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc-p-x.html#respond Mon, 01 Aug 2022 00:23:23 +0000 https://booktoan.com/de-toan-2022-muc-do-4-xet-tat-ca-cac-so-thuc-xy-sao-cho-a4x-log-_5a2-le-2540-y2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc-p-x.html https://booktoan.com/de-toan-2022-muc-do-4-xet-tat-ca-cac-so-thuc-xy-sao-cho-a4x-log-_5a2-le-2540-y2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc-p-x.html/feed 0 Đề toán 2022 [2H3-2.3-3] Trong không gian \(Oxyz\), cho điểm \(A\left( {2;1; – 1} \right)\). Gọi \(\left( P \right)\) là mặt phẳng chứa trục \(Oy\) sao cho khoảng cách từ \(A\) đến \(\left( P \right)\) là lớn nhất. Phương trình của \(\left( P \right)\) là https://booktoan.com/de-toan-2022-2h3-2-3-3-trong-khong-gian-oxyz-cho-diem-aleft-21-1-right-goi-left-p-right-la-mat-phang-chua-truc-oy-sao-cho-khoang-cach-tu-a-den.html https://booktoan.com/de-toan-2022-2h3-2-3-3-trong-khong-gian-oxyz-cho-diem-aleft-21-1-right-goi-left-p-right-la-mat-phang-chua-truc-oy-sao-cho-khoang-cach-tu-a-den.html#respond Mon, 01 Aug 2022 00:23:23 +0000 https://booktoan.com/de-toan-2022-2h3-2-3-3-trong-khong-gian-oxyz-cho-diem-aleft-21-1-right-goi-left-p-right-la-mat-phang-chua-truc-oy-sao-cho-khoang-cach-tu-a-den.html https://booktoan.com/de-toan-2022-2h3-2-3-3-trong-khong-gian-oxyz-cho-diem-aleft-21-1-right-goi-left-p-right-la-mat-phang-chua-truc-oy-sao-cho-khoang-cach-tu-a-den.html/feed 0 Đề toán 2022 [2D2-4.4-4]  Xét tất cả các số thực \(x\), \(y\) sao cho \({49^{9 – {y^2}}} \ge {a^{4x – {{\log }_7}{a^2}}}\) với mọi số thực dương \(a\). Giá trị lớn nhất của biểu thức \(P = {x^2} + {y^2} + 4x – 3y\) bằng. https://booktoan.com/de-toan-2022-2d2-4-4-4-xet-tat-ca-cac-so-thuc-x-y-sao-cho-499-y2-ge-a4x-log-_7a2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc.html https://booktoan.com/de-toan-2022-2d2-4-4-4-xet-tat-ca-cac-so-thuc-x-y-sao-cho-499-y2-ge-a4x-log-_7a2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc.html#respond Mon, 01 Aug 2022 00:23:23 +0000 https://booktoan.com/de-toan-2022-2d2-4-4-4-xet-tat-ca-cac-so-thuc-x-y-sao-cho-499-y2-ge-a4x-log-_7a2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc.html https://booktoan.com/de-toan-2022-2d2-4-4-4-xet-tat-ca-cac-so-thuc-x-y-sao-cho-499-y2-ge-a4x-log-_7a2-voi-moi-so-thuc-duong-a-gia-tri-lon-nhat-cua-bieu-thuc.html/feed 0 Đề toán 2022 Xét tất cả các số thực \(x,y\)sao cho \({27^{5 – {y^2}}} \ge {a^{6x – {{\log }_3}{a^3}}}\)với số thực dương a. Giá trị nhỏ nhất của biểu thức \(P = {x^2} + {y^2} – 4x + 8y\)bằng https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-xysao-cho-275-y2-ge-a6x-log-_3a3voi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2-4x-8ybang.html https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-xysao-cho-275-y2-ge-a6x-log-_3a3voi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2-4x-8ybang.html#respond Mon, 01 Aug 2022 00:23:23 +0000 https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-xysao-cho-275-y2-ge-a6x-log-_3a3voi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2-4x-8ybang.html https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-xysao-cho-275-y2-ge-a6x-log-_3a3voi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2-4x-8ybang.html/feed 0 Đề toán 2022 Xét tất cả các số thực \(x\), \(y\) sao cho \({8^{9 – {y^2}}} \ge {a^{6x – {{\log }_2}{a^3}}}\) với mọi số thực dương \(a\). Giá trị nhỏ nhất của biểu thức \(P = {x^2} + {y^2} – 6x – 8y\) bằng https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-x-y-sao-cho-89-y2-ge-a6x-log-_2a3-voi-moi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2.html https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-x-y-sao-cho-89-y2-ge-a6x-log-_2a3-voi-moi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2.html#respond Mon, 01 Aug 2022 00:23:23 +0000 https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-x-y-sao-cho-89-y2-ge-a6x-log-_2a3-voi-moi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2.html https://booktoan.com/de-toan-2022-xet-tat-ca-cac-so-thuc-x-y-sao-cho-89-y2-ge-a6x-log-_2a3-voi-moi-so-thuc-duong-a-gia-tri-nho-nhat-cua-bieu-thuc-p-x2-y2.html/feed 0 Đề toán 2022 [Mức độ 3] Có bao nhiêu số nguyên dương \(a\) sao cho ứng với mỗi \(a\) có đúng hai số nguyên \(b\) thỏa mãn \(\left( {{3^b} – 3} \right)\left( {a{{.2}^b} – 16} \right) < 0?\) https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-16-right-0.html https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-16-right-0.html#respond Mon, 01 Aug 2022 00:23:07 +0000 https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-16-right-0.html https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-16-right-0.html/feed 0 Đề toán 2022 [Mức độ 3] Có bao nhiêu số nguyên dương \(a\) sao cho với mỗi \(a\) có đúng hai số nguyên \(b\) thỏa mãn\(\left( {{4^b} – 1} \right)\left( {a{{.3}^b} – 10} \right) < 0\) https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-manleft-4b-1-rightleft-a-3b-10-right-0.html https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-manleft-4b-1-rightleft-a-3b-10-right-0.html#respond Mon, 01 Aug 2022 00:23:07 +0000 https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-manleft-4b-1-rightleft-a-3b-10-right-0.html https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-manleft-4b-1-rightleft-a-3b-10-right-0.html/feed 0 Đề toán 2022 [Mức độ 3] Có bao nhiêu số nguyên dương \(a\) sao cho ứng với mỗi \(a\) có đúng ba số nguyên \(b\) thoả mãn \(\left( {{3^b} – 3} \right)\left( {a{{.2}^b} – 18} \right) < 0\)? https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-ba-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-18-right-0.html https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-ba-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-18-right-0.html#respond Mon, 01 Aug 2022 00:23:07 +0000 https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-ba-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-18-right-0.html https://booktoan.com/de-toan-2022-muc-do-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-ba-so-nguyen-b-thoa-man-left-3b-3-rightleft-a-2b-18-right-0.html/feed 0 Đề toán 2022 [2D2-6.1-3] Có bao nhiêu số nguyên dương \(a\) sao cho ứng với mỗi \(a\) có đúng hai số nguyên \(b\) thỏa mãn \(\left( {{5^b} – 1} \right)\left( {a{{.2}^b} – 5} \right) < 0\) https://booktoan.com/de-toan-2022-2d2-6-1-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-5b-1-rightleft-a-2b-5-right-0.html https://booktoan.com/de-toan-2022-2d2-6-1-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-5b-1-rightleft-a-2b-5-right-0.html#respond Mon, 01 Aug 2022 00:23:07 +0000 https://booktoan.com/de-toan-2022-2d2-6-1-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-5b-1-rightleft-a-2b-5-right-0.html https://booktoan.com/de-toan-2022-2d2-6-1-3-co-bao-nhieu-so-nguyen-duong-a-sao-cho-ung-voi-moi-a-co-dung-hai-so-nguyen-b-thoa-man-left-5b-1-rightleft-a-2b-5-right-0.html/feed 0 Có bao nhiêu số nguyên \(x\) thỏa mãn \(\left[ {{{\log }_2}\left( {{x^2} + 1} \right) – {{\log }_2}\left( {x + 21} \right)} \right]\left( {16 – {2^{x – 1}}} \right) \ge 0\) ? https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-log-_2left-x2-1-right-log-_2left-x-21-right-rightleft-16-2x-1-right-ge-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-log-_2left-x2-1-right-log-_2left-x-21-right-rightleft-16-2x-1-right-ge-0.html#respond Tue, 24 Aug 2021 01:35:30 +0000 https://booktoan.com/?p=187952 https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-log-_2left-x2-1-right-log-_2left-x-21-right-rightleft-16-2x-1-right-ge-0.html/feed 0