Đề thi cuối kì 2 Toán 11 Kết nối tri thức – Đề 3 (có đáp án)

$$P=x^{\frac{1}{8}}$$.

$$P=x^2$$.

$$P=\sqrt{x}$$.

$$P=x^{\frac{2}{9}}$$.

$$I=\frac{1}{2}$$.

$$I=0$$.

$$I=-2$$.

$$I=2$$.

$$y=2023^x$$.

$$y={\left(\sqrt{2024}\right)}^x$$.

$$y=2025^{-x}$$.

$$y=x^{-2024}$$.

$y={\log }_{2}x$.

$y=2^x$.

$y={\left(\frac{1}{2}\right)}^x$.

$y={\log }_{\frac{1}{2}}x$.

$2$.

$3$.

$-2$.

$-1$.

$90^{\circ }$.

$60^{\circ }$.

$30^{\circ }$.

$45^{\circ }$.

$AH\perp \left(SCD\right)$.

$BD\perp \left(SAC\right)$.

$AK\perp \left(SCD\right)$.

$BC\perp \left(SAC\right)$.

$SA\perp \left(ABCD\right)$.

$SO\perp \left(ABCD\right)$.

$SC\perp \left(ABCD\right)$.

$SB\perp \left(ABCD\right)$.

$\left(SBC\right)\perp \left(IHB\right)$.

$\left(SAC\right)\perp \left(SAB\right)$.

$\left(SAC\right)\perp \left(SBC\right)$

$\left(SBC\right)\perp \left(SAB\right)$.

$\frac{a\sqrt{2}}{2}.$

$a.$

$a\sqrt{2}.$

$2a.$

$\arcsin \frac{3}{5}$.

$45^{\circ }$.

$60^{\circ }$.

$30^{\circ }$.

6

12

2

3

$$A\cup B=\left\{SSS,SSN,NSS,SNS,NNN\right\}$$.

$$A\cup B=\left\{SSS,NNN\right\}$$.

$$A\cup B=\left\{SSS,SSN,NSS,NNN\right\}$$.

$$A\cup B=\Omega$$.

$A$ và $B$ là hai biến cố độc lập.

$A\cap B$ là biến cố: “Tổng số chấm trên mặt xuất hiện của hai lần gieo bằng $12$”.

$A\cup B$ là biến cố: “Ít nhất một lần xuất hiện mặt $6$ chấm”.

$A$ và $B$ là hai biến cố xung khắc.

$\frac{1}{20}$.

$\frac{19}{20}$.

$\frac{1}{10}$.

$\frac{9}{10}$.

$P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)$.

$P\left(A\cup B\right)=P\left(A\right).P\left(B\right)$.

$P\left(A\cup B\right)=P\left(A\right)-P\left(B\right)$.

$P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)$.

$\frac{3}{5}$.

$\frac{8}{15}$.

$\frac{2}{15}$.

$\frac{1}{15}$.

$\frac{5}{6}$.

$\frac{2}{3}$.

$\frac{1}{6}$.

$\frac{1}{3}$.

$\frac{5}{6}$.

$\frac{661}{715}$

$\frac{660}{713}$.

$\frac{6}{7}$.

$$P\left(A\cap B\right)=P\left(A\right).P\left(B\right)$$.

$$P\left(A\cap B\right)=P\left(A\right)-P\left(B\right)$$.

$$P\left(A\cap B\right)\ne P\left(A\right).P\left(B\right)$$.

$$P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)$$.

$\frac{11}{15}$.

$\frac{2}{15}$.

$\frac{1}{15}$.

$\frac{13}{15}$.

$$0,177$$.

$$0,077$$.

$$0,999$$.

$$0,899$$.

$f^{\prime }\left(x_0\right)=\underset{x\to x_0}{\lim }\frac{f\left(x\right)-f\left(x_0\right)}{x-x_0}$.

$f^{\prime }\left(x_0\right)=\underset{x\to x_0}{\lim }\frac{f\left(x\right)+f\left(x_0\right)}{x-x_0}$.

$f^{\prime }\left(x_0\right)=\underset{x\to x_0}{\lim }\frac{f\left(x\right)-f\left(x_0\right)}{x+x_0}$.

$f^{\prime }\left(x_0\right)=\underset{x\to x_0}{\lim }\frac{f\left(x\right)+f\left(x_0\right)}{x+x_0}$.

$$y=-3x-4.$$

$$y=-1.$$

$$y=3x-2.$$

$$y=3x+2.$$

$$y^{\prime }=2x^3+2x^2-\frac{1}{x^2}+1$$

$$y^{\prime }=2x^3+2x^2-\frac{1}{x^2}$$.

$$y^{\prime }=2x^3+2x^2-1$$

$$y^{\prime }=2x^3+2x^2+\frac{1}{x^2}$$.

$y^{\prime }=2.9^{2x+1}.\ln 9$.

$y^{\prime }=\left(2x+1\right).9^{2x+1}$.

$y^{\prime }=9^{2x+1}.\ln 9$.

$y^{\prime }=\left(2x+1\right).9^{2x+1}.\ln 9$.

$f^{\prime }\left(x\right)=-2\sin (2x+1)$.

$f^{\prime }\left(x\right)=\sin (2x+1)$.

$f^{\prime }\left(x\right)=2\sin (2x+1)$.

$f^{\prime }\left(x\right)=-\frac{1}{2}\sin (2x+1)$.

$-3$.

$-2$.

$\frac{3}{2}$.

$3$.

$\frac{1-3x}{\left(x^2+1\right)\sqrt{x^2+1}}$.

$\frac{1+3x}{\left(x^2+1\right)\sqrt{x^2+1}}$.

$\frac{1-3x}{x^2+1}$.

$\frac{2x^2-x-1}{\left(x^2+1\right)\sqrt{x^2+1}}$.

$f^{\prime }\left(1\right)=\frac{1}{2}$.

$f^{\prime }\left(1\right)=\frac{-1}{2}$.

$f^{\prime }\left(1\right)=1$.

$e^x\left(\sin 2x-\cos 2x\right)$.

$e^x.cos2x$.

$e^x\left(\sin 2x+\cos 2x\right)$.

$e^x\left(\sin 2x+2\cos 2x\right)$.

$f^{\prime }\left(x\right)=\frac{3}{2}\left(\sqrt{x}-\frac{1}{\sqrt{x}}-\frac{1}{x\sqrt{x}}+\frac{1}{x^2\sqrt{x}}\right)$.

$f^{\prime }\left(x\right)=\frac{3}{2}\left(\sqrt{x}+\frac{1}{\sqrt{x}}+\frac{1}{x\sqrt{x}}+\frac{1}{x^2\sqrt{x}}\right)$.

$f^{\prime }\left(x\right)=\frac{3}{2}\left(-\sqrt{x}+\frac{1}{\sqrt{x}}+\frac{1}{x\sqrt{x}}-\frac{1}{x^2\sqrt{x}}\right)$.

$f^{\prime }\left(x\right)=x\sqrt{x}-3\sqrt{x}+\frac{3}{\sqrt{x}}-\frac{1}{x\sqrt{x}}$.

$$216\left(m/s\right)$$.

$$30\left(m/s\right)$$.

$$400\left(m/s\right)$$.

$$54\left(m/s\right)$$.

$6$.

$12$.

$-12$.

$2$.

$${\left(y^{\prime }\right)}^2+y.y^{\prime \prime }=-1$$.

$${\left(y^{\prime }\right)}^2+2y.y^{\prime \prime }=1$$.

$$y.y^{\prime \prime }-{\left(y^{\prime }\right)}^2=1$$.

$${\left(y^{\prime }\right)}^2+y.y^{\prime \prime }=1$$.