Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Mon, 13 Jun 2022 13:15:37 +0000 vi hourly 1 https://wordpress.org/?v=7.1.3 (THPT Lương Thế Vinh – Hà Nội -2022) Gọi \(S\) là tập các số nguyên \(m \in [ – 2022;2022]\) để phương trình \(\log _2^2x – {\log _{\sqrt 2 }}x = m – \sqrt {m + {{\log }_2}x} \) có đúng ba nghiệm phân biệt. Số phần tử của \(S\) là https://booktoan.com/thpt-luong-the-vinh-ha-noi-2022-goi-s-la-tap-cac-so-nguyen-m-in-20222022-de-phuong-trinh-log-_22x-log-_sqrt-2-x-m-sqrt-m-log-_2x-c.html https://booktoan.com/thpt-luong-the-vinh-ha-noi-2022-goi-s-la-tap-cac-so-nguyen-m-in-20222022-de-phuong-trinh-log-_22x-log-_sqrt-2-x-m-sqrt-m-log-_2x-c.html#respond Mon, 13 Jun 2022 13:00:25 +0000 https://booktoan.com/?p=195435 https://booktoan.com/thpt-luong-the-vinh-ha-noi-2022-goi-s-la-tap-cac-so-nguyen-m-in-20222022-de-phuong-trinh-log-_22x-log-_sqrt-2-x-m-sqrt-m-log-_2x-c.html/feed 0 (THPT Nguyễn Tất Thành-Đh-SP-HN-2022) Cho \(x,y,z \in \left[ {0;2} \right]\) và thỏa mãn \(x + 2y + z = 6\). Tìm giá trị lớn nhất của biểu thức \(P = {3^{2x – {x^2}}} + {5^{2y – {y^2}}} + {3^z} + 2{x^2} + 4{y^2}\) https://booktoan.com/thpt-nguyen-tat-thanh-dh-sp-hn-2022-cho-xyz-in-left-02-right-va-thoa-man-x-2y-z-6-tim-gia-tri-lon-nhat-cua-bieu-thuc-p-32x-x2-52y-y2-3.html https://booktoan.com/thpt-nguyen-tat-thanh-dh-sp-hn-2022-cho-xyz-in-left-02-right-va-thoa-man-x-2y-z-6-tim-gia-tri-lon-nhat-cua-bieu-thuc-p-32x-x2-52y-y2-3.html#respond Mon, 13 Jun 2022 12:56:50 +0000 https://booktoan.com/?p=195403 https://booktoan.com/thpt-nguyen-tat-thanh-dh-sp-hn-2022-cho-xyz-in-left-02-right-va-thoa-man-x-2y-z-6-tim-gia-tri-lon-nhat-cua-bieu-thuc-p-32x-x2-52y-y2-3.html/feed 0 (Sở Thái Nguyên 2022) Cho \(x,y > 0;x + 3y > 0\) thỏa mãn \(2022\left( {{{\log }_2}\sqrt {\frac{{{x^2} + {y^2}}}{{x + 3y}}} – 1} \right) \le \sqrt {x + 3y} – \sqrt {\frac{{{x^2} + {y^2}}}{4}} \). Tổng của giá trị lớn nhất và giá trị nhỏ nhất của biểu thức \(P = {x^2} + {y^2} – 14x – 2y + 2022\) bằng https://booktoan.com/so-thai-nguyen-2022-cho-xy-0x-3y-0-thoa-man-2022left-log-_2sqrt-fracx2-y2x-3y-1-right-le-sqrt-x-3y-sqrt-fracx2.html https://booktoan.com/so-thai-nguyen-2022-cho-xy-0x-3y-0-thoa-man-2022left-log-_2sqrt-fracx2-y2x-3y-1-right-le-sqrt-x-3y-sqrt-fracx2.html#respond Mon, 13 Jun 2022 12:53:17 +0000 https://booktoan.com/?p=195421 https://booktoan.com/so-thai-nguyen-2022-cho-xy-0x-3y-0-thoa-man-2022left-log-_2sqrt-fracx2-y2x-3y-1-right-le-sqrt-x-3y-sqrt-fracx2.html/feed 0 (THPT Lương Thế Vinh – Hà Nội – 2022) Có bao nhiêu cặp số nguyên \((a;b)\), trong đó \(a,b \in [1;2022]\) thỏa mãn \({\left( {\frac{{2a}}{{a + {2^b}}}} \right)^{{2^b}}} \ge {\left( {\frac{{a + {2^b}}}{{{2^{b + 1}}}}} \right)^a}\) ? https://booktoan.com/thpt-luong-the-vinh-ha-noi-2022-co-bao-nhieu-cap-so-nguyen-ab-trong-do-ab-in-12022-thoa-man-left-frac2aa-2b-right2b-ge.html https://booktoan.com/thpt-luong-the-vinh-ha-noi-2022-co-bao-nhieu-cap-so-nguyen-ab-trong-do-ab-in-12022-thoa-man-left-frac2aa-2b-right2b-ge.html#respond Mon, 13 Jun 2022 12:52:10 +0000 https://booktoan.com/?p=195436 https://booktoan.com/thpt-luong-the-vinh-ha-noi-2022-co-bao-nhieu-cap-so-nguyen-ab-trong-do-ab-in-12022-thoa-man-left-frac2aa-2b-right2b-ge.html/feed 0 (Đại học Hồng Đức – 2022) Cho \(x\) là số nguyên dương và \(y\) là số thự C. Có tất cả bao nhiêu cặp số \((x;y)\) thỏa mãn \(\ln (1 + x + 2y) = 2y + 3x – 10?\)\(\) https://booktoan.com/dai-hoc-hong-duc-2022-cho-x-la-so-nguyen-duong-va-y-la-so-thuc-co-tat-ca-bao-nhieu-cap-so-xy-thoa-man-ln-1-x-2y-2y-3x-10.html https://booktoan.com/dai-hoc-hong-duc-2022-cho-x-la-so-nguyen-duong-va-y-la-so-thuc-co-tat-ca-bao-nhieu-cap-so-xy-thoa-man-ln-1-x-2y-2y-3x-10.html#respond Mon, 13 Jun 2022 11:06:47 +0000 https://booktoan.com/?p=195392 https://booktoan.com/dai-hoc-hong-duc-2022-cho-x-la-so-nguyen-duong-va-y-la-so-thuc-co-tat-ca-bao-nhieu-cap-so-xy-thoa-man-ln-1-x-2y-2y-3x-10.html/feed 0 (THPT Lê Thánh Tông – HCM-2022) Số nghiệm nguyên của bất phương trình \(\left( {{3^x} + {3^{6 – x}} – 246} \right)\sqrt {5 – \ln \left( {x + 3} \right)} \ge 0\) là https://booktoan.com/thpt-le-thanh-tong-hcm-2022-so-nghiem-nguyen-cua-bat-phuong-trinh-left-3x-36-x-246-rightsqrt-5-ln-left-x-3-right-ge-0-la.html https://booktoan.com/thpt-le-thanh-tong-hcm-2022-so-nghiem-nguyen-cua-bat-phuong-trinh-left-3x-36-x-246-rightsqrt-5-ln-left-x-3-right-ge-0-la.html#respond Mon, 13 Jun 2022 10:54:11 +0000 https://booktoan.com/?p=195398 https://booktoan.com/thpt-le-thanh-tong-hcm-2022-so-nghiem-nguyen-cua-bat-phuong-trinh-left-3x-36-x-246-rightsqrt-5-ln-left-x-3-right-ge-0-la.html/feed 0 65 (THPT Yên Phong 1 – Bắc Ninh – 2022) Cho hàm số \(y = f\left( x \right).\) Hàm số \(y = f’\left( x \right)\) có bảng biến thiên như sau https://booktoan.com/65-thpt-yen-phong-1-bac-ninh-2022-cho-ham-so-y-fleft-x-right-ham-so-y-fleft-x-right-co-bang-bien-thien-nhu-sau.html https://booktoan.com/65-thpt-yen-phong-1-bac-ninh-2022-cho-ham-so-y-fleft-x-right-ham-so-y-fleft-x-right-co-bang-bien-thien-nhu-sau.html#respond Mon, 13 Jun 2022 08:50:22 +0000 https://booktoan.com/?p=195451 https://booktoan.com/65-thpt-yen-phong-1-bac-ninh-2022-cho-ham-so-y-fleft-x-right-ham-so-y-fleft-x-right-co-bang-bien-thien-nhu-sau.html/feed 0 (THPT Nguyễn Tất Thành-Đh-SP-HN-2022) Có bao nhiêu giá trị nguyên của tham số \(m \in \left[ { – 10;10} \right]\)để bất phương trình \(\log _2^2x – (m + 1){\log _2}x – 2m + 3 \ge 0\) nghiệm đúng với mọi \(x \in \left[ {1;32} \right]\) https://booktoan.com/thpt-nguyen-tat-thanh-dh-sp-hn-2022-co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-1010-rightde-bat-phuong-trinhlog-_22x-m-1log-_2x-2m-3-ge-0.html https://booktoan.com/thpt-nguyen-tat-thanh-dh-sp-hn-2022-co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-1010-rightde-bat-phuong-trinhlog-_22x-m-1log-_2x-2m-3-ge-0.html#respond Mon, 13 Jun 2022 08:40:29 +0000 https://booktoan.com/?p=195402 https://booktoan.com/thpt-nguyen-tat-thanh-dh-sp-hn-2022-co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-1010-rightde-bat-phuong-trinhlog-_22x-m-1log-_2x-2m-3-ge-0.html/feed 0 (Chuyên Lam Sơn 2022) Có bao nhiêu số nguyên dương \(m\) để phương trình \(m\left( {{e^x} – 1} \right) \cdot \ln (mx + 1) + 2{e^x} = {e^{2x}} + 1\) có 2 nghiệm phân biệt không lớn hơn 5. https://booktoan.com/chuyen-lam-son-2022-co-bao-nhieu-so-nguyen-duong-m-de-phuong-trinh-mleft-ex-1-right-cdot-ln-mx-1-2ex-e2x-1-co-2-nghiem-phan-biet-khong-lon-hon-5.html https://booktoan.com/chuyen-lam-son-2022-co-bao-nhieu-so-nguyen-duong-m-de-phuong-trinh-mleft-ex-1-right-cdot-ln-mx-1-2ex-e2x-1-co-2-nghiem-phan-biet-khong-lon-hon-5.html#respond Mon, 13 Jun 2022 08:27:37 +0000 https://booktoan.com/?p=195429 https://booktoan.com/chuyen-lam-son-2022-co-bao-nhieu-so-nguyen-duong-m-de-phuong-trinh-mleft-ex-1-right-cdot-ln-mx-1-2ex-e2x-1-co-2-nghiem-phan-biet-khong-lon-hon-5.html/feed 0 (Sở Bắc Giang 2022) Có bao nhiêu số nguyên dương \(x\) sao cho ứng với mỗi \(x\) có đúng 9 số nguyên \(y\) thỏa mãn \(\left( {{2^{y + 1}} – {x^2}} \right)\left( {{3^y} – x} \right) < 0\) ? https://booktoan.com/so-bac-giang-2022-co-bao-nhieu-so-nguyen-duong-x-sao-cho-ung-voi-moi-x-co-dung-9-so-nguyen-y-thoa-man-left-2y-1-x2-rightleft-3y-x-right-0.html https://booktoan.com/so-bac-giang-2022-co-bao-nhieu-so-nguyen-duong-x-sao-cho-ung-voi-moi-x-co-dung-9-so-nguyen-y-thoa-man-left-2y-1-x2-rightleft-3y-x-right-0.html#respond Mon, 13 Jun 2022 07:05:33 +0000 https://booktoan.com/?p=195410 https://booktoan.com/so-bac-giang-2022-co-bao-nhieu-so-nguyen-duong-x-sao-cho-ung-voi-moi-x-co-dung-9-so-nguyen-y-thoa-man-left-2y-1-x2-rightleft-3y-x-right-0.html/feed 0