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Dạng 1
Đại số
Câu 1. B
Câu 2. B
Câu 3. D
Câu 4. B
Câu 5. B
Câu 6. C
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Lời giải:
Kẻ $OH\perp AB$ thì $OH=1$ (cm)
Áp dụng định lý Pitago cho tam giác $OHA$ vuông:
$AH=\sqrt{OA^2-OH^2}=\sqrt{3^2-1^2}=2\sqrt{2}$ (cm)
$OA=OB$ nên tam giác $OAB$ cân tại $O$. Do đó đường cao $OH$ đồng thời là đường trung tuyến
$\Rightarrow AB=2AH=4\sqrt{2}$ (cm)
Lời giải:
HPT \(\Leftrightarrow \left\{\begin{matrix} x=-3|y|\\ 3x+y=-3\end{matrix}\right.\)
\(\Rightarrow -9|y|+y=-3\)
Nếu $y\geq 0$ thì pt trở thành:
$-9y+y=-3$
$\Leftrightarrow y=\frac{3}{8}$
$x=-3|y|=-3.\frac{3}{8}=\frac{-9}{8}$
Nếu $y< 0$ thì pt trở thành:
$9y+y=-3\Leftrightarrow y=\frac{-3}{10}$
$x=-3|y|=-3.\frac{3}{10}=\frac{-9}{10}$
Vậy hpt có 2 nghiệm $(x,y)=(\frac{3}{8}, \frac{-9}{8}); (\frac{-3}{10}, \frac{-9}{10})$
\(n_{HCl}=\dfrac{3,65\%.25}{36,5}=0,025\left(mol\right)\\ Đặt:A\left(I\right)\\ 2A+2HCl\rightarrow2ACl+H_2\\ n_A=n_{HCl}=0,025\left(mol\right)\\ M_A=\dfrac{0,575}{0,025}=23\left(\dfrac{g}{mol}\right)\\ \Rightarrow A\left(I\right):Natri\left(Na=23\right)\)
=> Chọn B