Sách Toán – Học Toán – Đề Thi Toán

Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Sat, 10 Jul 2021 17:00:00 +0000 vi hourly 1 https://wordpress.org/?v=7.1.3 Đề bài: Tìm giá trị lớn nhất của hàm số :$f(x)=x+\sqrt{4-x^2}$ trên miền $-2\leq x\leq 2$. https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2.html/feed 0 Đề bài: Cho $x,y \geq 0$ và $x+y=1$. Tìm giá trị lớn nhất và nhỏ nhất của biểu thức : $P=3^{2x}+3^y$. https://booktoan.com/de-bai-cho-xy-geq-0-va-xy1-tim-gia-tri-lon-nhat-va-nho-nhat-cua-bieu-thuc-2.html https://booktoan.com/de-bai-cho-xy-geq-0-va-xy1-tim-gia-tri-lon-nhat-va-nho-nhat-cua-bieu-thuc-2.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-cho-xy-geq-0-va-xy1-tim-gia-tri-lon-nhat-va-nho-nhat-cua-bieu-thuc-2.html https://booktoan.com/de-bai-cho-xy-geq-0-va-xy1-tim-gia-tri-lon-nhat-va-nho-nhat-cua-bieu-thuc-2.html/feed 0 Đề bài: Tìm giá trị lớn nhất và nhỏ nhất của hàm số: $f(x)=\sqrt{3+x}+\sqrt{6-x}-\sqrt{18+3x-x^2}$ với $-3\leq x\leq 6$. https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6.html/feed 0 Đề bài: Tìm giá trị lớn nhất của hàm số :$f(x)=x+\sqrt{4-x^2}$ trên miền $-2\leq x\leq 2$. https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2-2.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2-2.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2-2.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-cua-ham-so-fxxsqrt4-x2-tren-mien-2leq-xleq-2-2.html/feed 0 Đề bài: Chứng minh rằng với mọi số thực $a, b, c$ thỏa mãn điều kiện $a + b + c= 1$ thì: $\frac{1}{3^a} + \frac{1}{3^b} + \frac{1}{3^c} \ge 3\left( {\frac{a}{3^a} + \frac{b}{3^b} + \frac{c}{3^c}} \right)$ https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1.html https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1.html https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1.html/feed 0 Đề bài: Tìm giá trị lớn nhất và nhỏ nhất của hàm số: $f(x)=\sqrt{3+x}+\sqrt{6-x}-\sqrt{18+3x-x^2}$ với $-3\leq x\leq 6$. https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6-2.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6-2.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6-2.html https://booktoan.com/de-bai-tim-gia-tri-lon-nhat-va-nho-nhat-cua-ham-so-fxsqrt3xsqrt6-x-sqrt183x-x2-voi-3leq-xleq-6-2.html/feed 0 Đề bài: 1) Với $x \in [ – 1;1] $, chứng minh $\sqrt[4]{2} < \sqrt[4]{{1 - x}} + \sqrt[4]{{1 + x}} \le 2$2) Tìm miền giá trị của $y=\sin^{2n}x+\cos^{2n}x$ với $n\in Z^+$ 3) Chứng minh: $4^{|\sin x|} + 2^{|\cos x|} \ge 3$ https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-2.html https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-2.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-2.html https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-2.html/feed 0 Đề bài: Chứng minh rằng với mọi số thực $a, b, c$ thỏa mãn điều kiện $a + b + c= 1$ thì: $\frac{1}{3^a} + \frac{1}{3^b} + \frac{1}{3^c} \ge 3\left( {\frac{a}{3^a} + \frac{b}{3^b} + \frac{c}{3^c}} \right)$ https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1-2.html https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1-2.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1-2.html https://booktoan.com/de-bai-chung-minh-rang-voi-moi-so-thuc-a-b-c-thoa-man-dieu-kien-a-b-c-1-thi-frac13a-frac1-2.html/feed 0 Đề bài: Chứng minh rằng nếu $0 < b < a$ thì $\frac{{a - b}}{a} < \ln \frac{a}{b} < \frac{{a - b}}{b}$ https://booktoan.com/de-bai-chung-minh-rang-neu-0-b-a-thi-fraca-ba-ln-fracab-fraca-bb.html https://booktoan.com/de-bai-chung-minh-rang-neu-0-b-a-thi-fraca-ba-ln-fracab-fraca-bb.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-chung-minh-rang-neu-0-b-a-thi-fraca-ba-ln-fracab-fraca-bb.html https://booktoan.com/de-bai-chung-minh-rang-neu-0-b-a-thi-fraca-ba-ln-fracab-fraca-bb.html/feed 0 Đề bài: 1) Với $x \in [ – 1;1] $, chứng minh $\sqrt[4]{2} < \sqrt[4]{{1 - x}} + \sqrt[4]{{1 + x}} \le 2$2) Tìm miền giá trị của $y=\sin^{2n}x+\cos^{2n}x$ với $n\in Z^+$ 3) Chứng minh: $4^{|\sin x|} + 2^{|\cos x|} \ge 3$ https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-3.html https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-3.html#respond Sat, 10 Jul 2021 17:00:00 +0000 https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-3.html https://booktoan.com/de-bai-1-voi-x-in-11-chung-minh-sqrt42-sqrt41-x-sqrt41-x-le-22-tim-mien-gia-tri-cua-ysin2n-3.html/feed 0