Đề thi giữa kì 1 Toán 11 năm 2023-2024 THPT Bùi Thị Xuân (Hà Nội) có đáp án

$5$.

$6$.

$8$.

$7$.

$M_e=\frac{175}{7}$.

$M_e=\frac{165}{3}$.

$M_e=\frac{165}{5}$.

$M_e=\frac{165}{7}$.

$14.$

$20.$

$12.$

$18.$

${\sin }^{2}x+{\cos }^{2}x+1=0.$

${\cos }^{2}x=1-{\sin }^{2}x.$

${\sin }^{2}x=-1+{\cos }^{2}x.$

${\sin }^{2}x-{\cos }^{2}x=1.$

$\mathrm{D}=\mathbb{R}\backslash \left\{\frac{\pi }{2}+k\pi ,k\in \mathbb{Z}\right\}.$

$\mathrm{D}=\mathbb{R}.$

$\mathrm{D}=\mathbb{R}\backslash \left\{k2\pi ,k\in \mathbb{Z}\right\}.$

$\mathrm{D}=\mathbb{R}\backslash \left\{k\pi ,k\in \mathbb{Z}\right\}.$

$$S=\left\{k2\pi ;\frac{\pi }{3}+k2\pi |k\in \mathbb{Z}\right\}$$.

$$S=\left\{k2\pi ;\pi +k2\pi |k\in \mathbb{Z}\right\}$$.

$$S=\left\{k2\pi ;-\frac{\pi }{3}+\frac{k2\pi }{3}|k\in \mathbb{Z}\right\}$$.

$$S=\left\{k2\pi ;\frac{\pi }{3}+\frac{k2\pi }{3}|k\in \mathbb{Z}\right\}$$.

$\sin x=2\sin \frac{x}{2}.\cos \frac{x}{2}$ .

${\cos }^{2}x=\frac{1+\cos 2x}{2}$.

${\sin }^{2}x=\frac{1-\cos 2x}{2}$

$\cos 2x={\cos }^{3}x-{\sin }^{3}x$.

$$\sin a+\cos a=\sqrt{2}\sin \left(a-\frac{\pi }{4}\right)$$.

$$\sin a+\cos a=\sqrt{2}\sin \left(a+\frac{\pi }{4}\right)$$.

$$\sin a+\cos a=-\sqrt{2}\sin \left(a-\frac{\pi }{4}\right)$$.

$$\sin a+\cos a=-\sqrt{2}\sin \left(a+\frac{\pi }{4}\right)$$.

$u_n=\frac{n}{n+2023}.$

$u_n=2^n+2023.$

$u_n=\sqrt{n^2+2023}.$

$u_n=n+\frac{2023}{n}.$

Số trung vị

Tứ phân vị thứ nhất.

Tứ phân vị thứ hai

Số trung bình

57%.

56,7%.

56%.

50%.

$-\frac{1}{2};0;1;\frac{1}{2};1.$

$-\frac{1}{2};0;\frac{1}{2};1;\frac{3}{2}.$

$-\frac{1}{2};0;\frac{1}{2};0;\frac{1}{2}.$

$\frac{1}{2};1;\frac{3}{2};2;\frac{5}{2}.$

$x=\frac{\pi }{2}+k\pi$.

$x=\frac{\pi }{2}+k2\pi$.

$x=\frac{\pi }{3}+k\pi$.

$x=-\frac{\pi }{6}+k\pi$.

3,125

3,4

3,325

3,2

$\sin \left(2024a\right)=2\sin \left(1012a\right).\cos \left(1012a\right).$

$\sin \left(2024a\right)=2024\sin \left(1012a\right).\cos \left(1012a\right).$

$\sin \left(2024a\right)=2024\sin a.\cos a.$

$\sin \left(2024a\right)=2\sin a\cos a.$

$$\ell \approx 1,49\mathrm{cm}.$$

$$\ell \approx 3,93\mathrm{cm}.$$

$$\ell \approx 2,94\mathrm{cm}.$$

$$\ell \approx 3,39\mathrm{cm}.$$

$M=2,m=-2.$

$M=1,m=-5.$

$M=0,m=-2.$

$M=3,m=1.$

Vô số

0

1

2

$\sin \alpha >0.$

$\tan \alpha >0.$

$\cos \alpha >0.$

$\cot \alpha >0.$

73.

79.

77.

75.

$Q_3=13$.

$Q_3=15$.

$Q_3=14$.

$Q_3=12$.

$u_1=16.$

$u_1=-16.$

$u_1=\frac{1}{16}.$

$u_1=-\frac{1}{16}.$

$u_3=-6.$

$u_2=4.$

$u_4=-8.$

$u_1=-2.$

$\frac{\pi }{180a}$.

$\frac{a\pi }{180}$.

$180\pi a$.

$\frac{180\pi }{a}$.

$\cos \left(a-b\right)=\sin a\sin b+\cos a\cos b$.

$\sin \left(a+b\right)=\sin a\cos b+\cos a\sin b$.

$\cos \left(a+b\right)=\sin a\sin b-\cos a\cos b$.

$\sin \left(a-b\right)=\sin a\cos b-\cos a\sin b$.

$u_n=-2n+19.$

$u_n=-2^n+15.$

$u_n=-2n-21.$

$u_n=-4n+9.$

16.

9.

18.

17.

$$\{\begin{array}{l}{u}_1=5\\ q=3\end{array}.$$

$$\{\begin{array}{l}{u}_1=6\\ q=2\end{array}.$$

$$\{\begin{array}{l}{u}_1=6\\ q=3\end{array}.$$

$$\{\begin{array}{l}{u}_1=5\\ q=2\end{array}.$$

$$m\le 0$$.

$$-2\le m\le 0$$.

$$0\le m\le 1$$.

$$m\ge 1$$.

$$y=-\sin x.$$

$$y=1+\sin 2x.$$

$$y=\sin \left(\frac{\pi }{2}-x\right).$$

$$y=-\cos x.$$

$$x=k\pi$$.

$$x=\frac{3\pi }{2}+k\pi$$.

$$x=<span></span>-\frac{\pi }{2}+k2\pi$$.

$$x=-\frac{\pi }{2}+k\pi$$.

$[60;80)$

$[20;40)$

$[40;60)$

$[80;100)$

$$x=\pm \frac{1}{3}.$$

$x=\pm 3.$

$$x=\pm \sqrt{3}.$$

$$x=\pm \frac{1}{\sqrt{3}}.$$