Dạng 2: Tìm điều kiện xác định của các biểu thức chứa căn:
Phương pháp tìm điều kiện: √A xác định A \(_{\ge0}\)
Cần lưu ý: Phân thức \(\dfrac{A}{B}\) xác định khi B≠ 0
1)\(\sqrt{x^2+2x+1}\); 2)\(\sqrt{\dfrac{1}{4}-2a}\); 3)\(\sqrt{\dfrac{-3}{2+x}}\); 4)\(\sqrt{\left(x+5\right)^2}\); 5)\(\sqrt{\dfrac{\sqrt{6}-4}{m+2}}\); 6)\(\dfrac{16x-1}{\sqrt{x}-7}\);
7)\(\sqrt{2x+5}\); 8)\(\dfrac{3}{\sqrt{12x-1}}\); 9)\(\sqrt{\sqrt{5}-\sqrt{3x}}\); 10)\(\sqrt{\sqrt{6x}-4x}\); 11)\(\sqrt{(\sqrt{x}-7)(\sqrt{x}+7)}\); 12)\(\sqrt{(x-6)⁶}\); 13\()\)\(\sqrt{-12x+5}\); 14\()\)2-4\(\sqrt{5x+8}\); 15\()\)\(\sqrt{\dfrac{-2\sqrt{6}+\sqrt{23}}{-x+5}}\); 16\()\)\(\sqrt{2011-m}\); 17)\(\sqrt{\dfrac{2\sqrt{15}-\sqrt{59}}{x-7}}\); 18)\(\sqrt{4z^2+4z+1}\); 19)\(\sqrt{49x^2-24x+4}\); 20)\(\sqrt{\dfrac{12x+5}{\sqrt{3}}}\); 21)\(\sqrt{x^2-9}\); 22\()\)\(\sqrt{(3x+2)(x-1)}\); 23)\(\sqrt{3x-2}.\sqrt{x-1}\).
III.Rewrite the sentences, using the word given.
1.Could you please tell me the way to the market, please? (mind)
......................................................................................................................................2.Why don't we go out for a dinner tonight? (what about)
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3.My daughter likes history. (intersted)
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4. You should play outdoors to develop your social skills. (ought to)
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5."Don't forget to do your homework at home,'' he said to me. (told)
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6.Did you usually wear T-shirt when you were at shool?
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7.To get to the countryside on weekends is wonderful.
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8.Your idea is similar to mine.
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9.My uncle doesn't play football anymore.
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10.Tom's brother is too young to go to work.
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II.Correct the mistakes in the following sentences.
1.Jane and Tom wish they are good doctors.
......................................................................................................................................2.The washing machine was too heavy that I couldn't move
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3.You must do the test careful.
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4.Spring is a time when people often feel health.
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5. You can see a lot of cows with buffaloes on your away.
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6.Do you have a collecting of stamps?
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7.Alice doesn't know what to make a fire.
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8.In Spring, the village looks as a carpet with plenty of colors.
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9.My uncle and his children are not to come to dinner with us tonight.
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10.The city is much many pleasant to live in.
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E. WRITE
I. Complete each of the following sentences, using the words given
1.Tom and Dorothy/ be/ going/visit/Ha Noi/tomorrow.
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2.It/ be/ kind/you/ invite us/birthday party/this evening.
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3.There /shrine/mountain/ near/ Paker's/village.
............................................................................................................................4.Peter/ said/me/enjoyed/play/video games.
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5.I/have/wonderful time/because/people/friendly.
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6.My/home village/about/20 kilometers/ south-west/capital
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7.There/small/bamboo forest/entrance/village.
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8.You/should attempt/answer/everyquestion.
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9. Alice/be/such/talented/woman/everybody/admire.
............................................................................................................................10. Mr.Smith/his family/usually/get/village/weekends.
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