a) \(\left\{ \begin{array}{l}y - x < - 1\\x > 0\\y < 0\end{array} \right.\)
Xác định miền nghiệm của từng bất phương trình bậc nhất hai ẩn.
Miền không bị gạch là miền nghiệm của hệ bất phương trình đã cho.
Xác định miền nghiệm của bất phương trình \(y - x < - 1\)
+ Vẽ đường thẳng d: \( - x + y = - 1\)
+ Vì \( - 0 + 0 = 0 > - 1\) nên tọa độ điểm O(0;0) không thỏa mãn bất phương trình \(y - x < - 1\)
Do đó, miền nghiệm của bất phương trình \(y - x < - 1\) là nửa mặt phẳng bờ d không chứa gốc tọa độ O.
Miền nghiệm của bất phương trình \(x > 0\) là nửa mặt phẳng bờ Oy chứa điểm (1;0) không kể trục Oy.
Miền nghiệm của bất phương trình \(y < 0\) là nửa mặt phẳng bờ Ox chứa điểm (0;-1) không kể trục Ox.
Khi đó miền nghiệm của hệ bất phương trình đã cho là miền màu vàng (Không kể đoạn thẳng AB và các trục tọa độ).
<img src="data:image/png;base64,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
Các bài tập cùng chuyên đề
Miền nghiệm của hệ bất phương trình \(\left\{ \begin{array}{l}x + 2(y + 1) - 4y \le 2(x + 1) - 5y\\x + y \ge 0\end{array} \right.\) không chứa điểm có tọa độ:
Phần không gạch chéo (không kể bờ d) trong hình dưới đây biểu diễn miền nghiệm của bất phương trình nào?
Biểu diễn miền nghiệm của hệ bất phương trình bậc nhất hai ẩn sau trên mặt phẳng tọa độ: \(\left\{ \begin{array}{l}x \ge 0\\y > 0\\x + y \le 100\\2x + y < 120\end{array} \right.\)
Cho đường thẳng d: x+y=150 trên mặt phẳng tọa độ Oxy. Đường thẳng này cắt hai trục tọa độ Ox và Oy tại hai điểm A và B.
a) Xác định miền nghiệm \({D_1},{D_2},{D_3}\) của các bất phương trình tương ứng \(x \ge 0;y \ge 0\) và \(x + y \le 150\).
b) Miền tam giác OAB (H.2.5) có phải là giao điểm của các miền \({D_1},{D_2}\) và \({D_3}\) hay không?
c) Lấy một điểm trong tam giác OAB (chẳng hạn điểm (1;2)) hoặc một điểm trên cạnh nào đó của tam giác OAB (chẳng hạn điểm (1;149)) và kiểm tra xem tọa độ của các điểm đó có phải là nghiệm của hệ bất phương trình sau hay không:
\(\left\{ \begin{array}{l}x \ge 0\\y \ge 0\\x + y \le 150\end{array} \right.\)
c) \(\left\{ \begin{array}{l}x \ge 0\\x + y > 5\\x - y > 0\end{array} \right.\)
b) \(\left\{ \begin{array}{l}x \ge 0\\y \ge 0\\2x + y \le 4\end{array} \right.\)
Cho hệ bất phương trình \(\left\{ \begin{array}{l}x - y < - 3\\2y \ge - 4\end{array} \right.\). Điểm nào sau đây thuộc miền nghiệm của hệ đã cho?
A. (0;0)
B. (-2;1)
C. (3;-1)
D. (-3;1)
Biểu diễn miền nghiệm của hệ bất phương trình \(\left\{ \begin{array}{l}x + y < 1\\2x - y \ge 3\end{array} \right.\) trên mặt phẳng tọa độ
Biểu diễn miền nghiệm của hệ bất phương trình \(\left\{ \begin{array}{l}y - 2x \le 2\\y \le 4\\x \le 5\\x + y \ge - 1\end{array} \right.\) trên mặt phẳng tọa độ.
Từ đó tìm giá trị lớn nhất và giá trị nhỏ nhất của biểu thức \(F\left( {x;y} \right) = - x - y\) với \(\left( {x;y} \right)\) thỏa mãn hệ trên.
Biểu diễn miền nghiệm của hệ bất phương trình sau: \(\left\{ \begin{array}{l}3x - y > - 3\\ - 2x + 3y < 6\\2x + y > - 4\end{array} \right.\)
Cho hệ bất phương trình sau: \(\left\{ \begin{array}{l}x - 2y \ge - 2\\7x - 4y \le 16\\2x + y \ge - 4\end{array} \right.\)
a) Trong cùng mặt phẳng toạ độ Oxy, biểu diễn miền nghiệm của mỗi bất phương trình
trong hệ bất phương trình bằng cách gạch bỏ phần không thuộc miền nghiệm của nó.
b) Tìm miền nghiệm của hệ bất phương trình đã cho.
Biểu diễn miền nghiệm của hệ bất phương trình:
a) \(\left\{ \begin{array}{l}x + 2y < - 4\\y \ge x + 5\end{array} \right.\)
b) \(\left\{ \begin{array}{l}4x - 2y > 8\\x \ge 0\\y \le 0\end{array} \right.\)
Biểu diễn miền nghiệm của hệ bất phương trình:
a) \(\left\{ \begin{array}{l}2x - 3y < 6\\2x + y < 2\end{array} \right.\)
b) \(\left\{ \begin{array}{l}4x + 10y \le 20\\x - y \le 4\\x \ge - 2\end{array} \right.\)
c) \(\left\{ \begin{array}{l}x - 2y \le 5\\x + y \ge 2\\x \ge 0\\y \le 3\end{array} \right.\)
Miền không bị gạch ở mỗi Hình 12a, 12b là miền nghiệm của hệ bất phương trình nào cho ở dưới đây?
a) \(\left\{ \begin{array}{l}x + y \le 2\\x \ge - 3\\y \ge - 1\end{array} \right.\)
b) \(\left\{ \begin{array}{l}y \le x\\x \le 0\\y \ge - 3\end{array} \right.\)
c) \(\left\{ \begin{array}{l}y \ge - x + 1\\x \le 2\\y \le 1\end{array} \right.\)
Biểu diễn miền nghiệm của hệ bất phương trình: \(\left\{ \begin{array}{l}x + y \le 8\\2x + 3y \le 18\\x \ge 0\\y \ge 0\end{array} \right.\)
Cho hệ bất phương trình: \(\left\{ \begin{array}{l}x + y - 3 \le 0\\ - 2x + y + 3 \ge 0\end{array} \right.\)
Miền nào trong Hình 1 biểu diễn phần giao các miền nghiệm của hai bất phương trình trong hệ đã cho?
Biểu diễn miền nghiệm của mỗi hệ bất phương trình sau:
a) \(\left\{ \begin{array}{l}x + y - 3 \ge 0\\x \ge 0\\y \ge 0\end{array} \right.\)
b) \(\left\{ \begin{array}{l}x - 2y < 0\\x + 3y > - 2\\y - x < 3\end{array} \right.\)
c) \(\left\{ \begin{array}{l}x \ge 1\\x \le 4\\x + y - 5 \le 0\\y \ge 0\end{array} \right.\)
Biểu diễn miền nghiệm của hệ bất phương trình sau trên mặt phẳng tọa độ Oxy:
\(\left\{ \begin{array}{l}x - 2y > 0\\x + 3y < 3\end{array} \right.\)
Cho hệ phương trình \(\left\{ {\begin{array}{*{20}{c}}{x + 3y - 2 \ge 0}\\{2x + y + 1 \le 0}\end{array}} \right.\). Trong các điểm sau, điểm nào thuộc miền nghiệm của hệ bất phương trình đã cho?
Phần không tô đậm (không kể biên) trong hình vẽ sau biểu diễn miền nghiệm của hệ bất phương trình nào trong các hệ bất phương trình cho dưới đây?
Miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{3x + y \ge 9}\\{x \ge y - 3}\\{2y \ge 8 - x}\\{y \le 6}\end{array}} \right.\) chứa điểm nào trong các điểm sau đây?
Phần không tô đậm (không kể biên) trong hình vẽ sau biểu diễn miền nghiệm của hệ bất phương trình nào trong các hệ bất phương trình cho dưới đây?
Miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{2x - 5y - 1 > 0}\\{2x + y + 5 > 0}\\{x + y + 1 < 0}\end{array}} \right.\) chứa điểm nào trong các điểm sau đây?
Miền tam giác (kể cả ba cạnh AB, BC, CA) trong hình vẽ sau biểu diễn miền nghiệm của hệ bất phương trình nào trong các hệ bất phương trình cho dưới đây?
Biểu diễn miền nghiệm của các hệ bất phương trình sau trên mặt phẳng tọa độ:
a) \(\left\{ {\begin{array}{*{20}{c}}{x \ge - 1}\\{y \ge 0}\\{x + y \le 4}\end{array}} \right.\)
b) \(\left\{ {\begin{array}{*{20}{c}}{x > 0}\\{y > 0}\\{x - y - 4 < 0}\end{array}} \right.\)
c) \(\left\{ {\begin{array}{*{20}{c}}{y \le 3}\\{x \le 3}\\{x \ge - 1}\\{y \ge - 2}\end{array}} \right.\)
Điểm nào sau đây thuộc miền nghiệm của bất phương trình \(2x + 5y \le 10?\)
A. \(\left( {5;2} \right).\)
B. \(\left( { - 1;4} \right).\)
C. \(\left( {2;1} \right).\)
D. \(\left( { - 5;6} \right).\)
Cặp số nào dưới đây là nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{x + y \le 2}\\{x - 2y \ge 4}\\{x > 0}\end{array}\,\,?} \right.\)
A. \(\left( { - 1;2} \right).\)
B. \(\left( { - 2; - 4} \right).\)
C. \(\left( {0;1} \right).\)
D. \(\left( {2;4} \right).\)
Điểm nào dưới đây thuộc miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{ - x + y \le 2}\\{x - 2y \ge 1}\\{y \le 0}\end{array}\,\,?} \right.\)
A. \(\left( { - 3;2} \right).\)
B. \(\left( {0;1} \right).\)
C. \(\left( {4; - 1} \right).\)
D. \(\left( { - 2;2} \right).\)
Miền nghiệm của hệ bất phương trình nào dưới đây là miền tam giác \(ABC\) (miền không bị gạch)?
A. \(\left\{ {\begin{array}{*{20}{c}}{x + y \le 1}\\{x - y \ge 1}\\{x \ge 0}\end{array}.} \right.\)
B. \(\left\{ {\begin{array}{*{20}{c}}{x + y \le 1}\\{x - y \le 1}\\{x \ge 0}\end{array}} \right..\)
C. \(\left\{ {\begin{array}{*{20}{c}}{x - y \ge - 1}\\{x + y \ge - 1}\\{x \ge 0}\end{array}.} \right.\)
D. \(\left\{ {\begin{array}{*{20}{c}}{x - y \ge - 1}\\{x + y \ge - 1}\\{y \ge 0}\end{array}.} \right.\)
Miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{x \ge - 1}\\{x + y \le 0}\\{y \ge 0}\end{array}} \right.\) là:
A. Một nửa mặt phẳng.
B. Miền tam giác.
C. Miền tứ giác.
D. Miền ngũ giác.