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G11-DS-C1-4.1-Phuongtrinhbacnhat.1

Authored by Toan Minh

Mathematics

11th Grade

Used 1+ times

G11-DS-C1-4.1-Phuongtrinhbacnhat.1
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7 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Nghiệm của phương trình

 sinx3cosx=0\sin x-\sqrt{3}\cos x=0  

 x=π6+k2πx=\frac{\pi}{6}+k2\pi  

 x=π3+k2πx=\frac{\pi}{3}+k2\pi  

 x=π6+kπx=\frac{\pi}{6}+k\pi  

 x=π3+kπx=\frac{\pi}{3}+k\pi  

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Giải phương trình

 sinx+cosx=1\sin x+\cos x=1  

 x=k2πx=k2\pi  

 x=k2π ; x=π2+k2πx=k2\pi\ ;\ x=\frac{\pi}{2}+k2\pi  

 x=π4+k2πx=\frac{\pi}{4}+k2\pi  

 x=π4+k2π ; x=π4+k2πx=\frac{\pi}{4}+k2\pi\ ;\ x=-\frac{\pi}{4}+k2\pi  

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Giải phương trình

 sinx+3cosx=2\sin x+\sqrt{3}\cos x=2  

 x=5π6+kπx=\frac{5\pi}{6}+k\pi  

 x=5π6+k2πx=\frac{5\pi}{6}+k2\pi  

 x=π6+kπx=-\frac{\pi}{6}+k\pi  

 x=π6+k 2πx=\frac{\pi}{6}+k\ 2\pi  

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Giải phương trình

 sinx+3cosx=2\sin x+\sqrt{3}\cos x=\sqrt{2}  

 x=π4+k2π ; x=3π4+k2πx=-\frac{\pi}{4}+k2\pi\ ;\ x=\frac{3\pi}{4}+k2\pi  

 x=π12+k2π ; x=5π12+k2πx=-\frac{\pi}{12}+k2\pi\ ;\ x=\frac{5\pi}{12}+k2\pi  

 x=π3+k2π ; x=2π3+k2πx=\frac{\pi}{3}+k2\pi\ ;\ x=\frac{2\pi}{3}+k2\pi  

 x=π4+k2π ; x=5π4+k 2πx=-\frac{\pi}{4}+k2\pi\ ;\ x=-\frac{5\pi}{4}+k\ 2\pi  

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Giải phương trình:

 sin2x3cos2x=0\sin2x-\sqrt{3}\cos2x=0  

 x=π3+kπ2x=\frac{\pi}{3}+\frac{k\pi}{2}  

 x=π6+kπx=\frac{\pi}{6}+k\pi  

 x=π3+kπx=\frac{\pi}{3}+k\pi  

 x=π6+kπ2x=\frac{\pi}{6}+\frac{k\pi}{2}  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Giải phương trình

 (31)sinx(3+1)cosx+31=0\left(\sqrt{3}-1\right)\sin x-\left(\sqrt{3}+1\right)\cos x+\sqrt{3}-1=0  

 x=π4+k2π ; x=π6+k2πx=-\frac{\pi}{4}+k2\pi\ ;\ x=\frac{\pi}{6}+k2\pi  

 x=π2+k2π ; x=π3+k2πx=-\frac{\pi}{2}+k2\pi\ ;\ x=\frac{\pi}{3}+k2\pi  

 x=π6+k2π ; x=π9+k2πx=-\frac{\pi}{6}+k2\pi\ ;\ x=\frac{\pi}{9}+k2\pi  

 x=π8+k2π ; x=π12+k2πx=-\frac{\pi}{8}+k2\pi\ ;\ x=\frac{\pi}{12}+k2\pi  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Giải phương trình

 (sinx2+cosx2)2+3cosx=2\left(\sin\frac{x}{2}+\cos\frac{x}{2}\right)^2+\sqrt{3}\cos x=2  

 x=π6+kπ ; x=π2+kπx=-\frac{\pi}{6}+k\pi\ ;\ x=\frac{\pi}{2}+k\pi  

 x=π6+k2π ; x=π2+k2πx=-\frac{\pi}{6}+k2\pi\ ;\ x=\frac{\pi}{2}+k2\pi  

 x=π6+k2πx=-\frac{\pi}{6}+k2\pi  

 x=π2+kπx=\frac{\pi}{2}+k\pi  

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