Giải giúp em với em cảm ơn 😥
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Ta có: \(6x+1=2\left(3x-1\right)+3\)
Vì \(2\left(3x-1\right)⋮\left(3x-1\right)\Rightarrow3⋮\left(3x-1\right)\)
\(\Rightarrow3x-1\inƯ\left(3\right)=\left\{1;-1;3;-3\right\}\)
\(\Rightarrow3x=\left\{2;0;4;-2\right\}\)
\(\Rightarrow x=\left\{\frac{2}{3};0;\frac{4}{3};\frac{-2}{3}\right\}\)
Vì biểu thức là số nguyên
Vậy x = 0
23.
Gọi I là trung điểm MN \(\Rightarrow I\left(3;3\right)\)
\(\Rightarrow\overrightarrow{IN}=\left(2;-1\right)\Rightarrow IN=\sqrt{5}\)
Phương trình đường tròn đường kính MN, nhận I là tâm và có bán kính \(R=IN\) là:
\(\left(x-3\right)^2+\left(y-3\right)^2=5\)
Thay tọa độ E vào pt ta được:
\(\left(x-3\right)^2+4=5\Rightarrow\left(x-3\right)^2=1\)
\(\Rightarrow\left[{}\begin{matrix}x=4\\x=2\end{matrix}\right.\) \(\Rightarrow x_1x_2=8\)
Cả 4 đáp án của câu này đều sai
24.
Gọi \(M\left(x;y\right)\) là 1 điểm bất kì thuộc \(\Delta\)
Do \(\Delta\) là đường phân giác của góc tạo bởi d và k nên:
\(d\left(M;d\right)=d\left(M;k\right)\Leftrightarrow\dfrac{\left|2x+y\right|}{\sqrt{2^2+1^2}}=\dfrac{\left|x+2y-3\right|}{\sqrt{1^2+2^2}}\)
\(\Leftrightarrow\left|2x+y\right|=\left|x+2y-3\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+y=x+2y-3\\2x+y=-x-2y+3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-y+3=0\\x+y-1=0\end{matrix}\right.\)
- Với \(x-y+3=0\), ta có:
\(\left(x_E-y_E+3\right)\left(x_F-y_F+3\right)=2.1=2>0\Rightarrow E;F\) nằm cùng phía so với \(x-y+3=0\) (thỏa mãn)
- Với \(x+y-1=0\) ta có:
\(\left(x_E+y_E-1\right)\left(x_F+y_F-1\right)=2.7=14>0\Rightarrow E;F\) nằm cùng phía so với \(x+y-1=0\) (thỏa mãn)
Vậy cả đáp án A và D đều đúng
Tương tự như câu 23, câu 24 đề bài tiếp tục sai
1 Japanese is too difficult for me to learn
2 If he felt well, he wouldn't go to bed early
3 I wish I hadn't gone out in the rain
4 They had me carry te box upstairs
5 Your sister is too young to enjoy this film
6 THey had this letter posted by me
7 The morning was too cold for them to go out
8 If the tickets were cheap enough, we would go there
9 The pupils collected these old clothes
10 The coffee is so excellent so I can drink it
11 Her house was sold 2 years ago
12 Some tickets was bought there by him
13 Waste paper was recycled to save money and labour
14 The TV set was so heavy that the girl couldn't move it
15 I will have someone type the report for you
16 There was so much fog that the driver couldn't see far
17 THe day was fine enoigh for them to enjoy sunbathing on the beach
18 I wish your were here now
19 Susan offeref me to lend her some money
20 They asked me is I could fill in the form
1 The meeting was canceled 3 days ago
2 She told me she was watching a film with her sister then
3 I admire the guitarist who is perfroming on the stage
4 Had it not been for Pauline's interest, the project would have been abandoned
71.
\(\left\{{}\begin{matrix}BB'\perp\left(ABCD\right)\\BB'\in\left(ABB'A'\right)\end{matrix}\right.\) \(\Rightarrow\left(ABCD\right)\perp\left(ABB'A'\right)\)
74.
\(\left\{{}\begin{matrix}DD'\perp\left(ABCD\right)\\DD'\in\left(CDD'C'\right)\end{matrix}\right.\) \(\Rightarrow\left(ABCD\right)\perp\left(CDD'C'\right)\)
Bài 3:
Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{a}{9}=\dfrac{b}{8}=\dfrac{c}{7}=\dfrac{d}{6}=\dfrac{b-d}{8-6}=\dfrac{70}{2}=35\)
Do đó: a=315; b=280; c=245; d=210