Đề thi Cuối kì 2 Toán 11 Chân trời sáng tạo – Đề 7 (có đáp án)

$P=x^{\frac{4}{3}}$.

$P=x^9$.

$P=x^{12}$.

$P=x^{\frac{3}{4}}$.

$$a^{\sqrt{7}}$$.

$$a^2$$.

$$a^{-\sqrt{7}}$$.

$$a^{-2}$$.

$I=\frac{1}{3}$.

$I=3$.

$I=0$.

$I=-3$.

$\ln \left(a+b\right)=\ln a+\ln b$.

$\ln \left(ab\right)=\ln a.\ln b$.

$\ln \left(a^b\right)=\ln b.\ln a$.

$\ln \left(ab\right)=\ln a+\ln b$.

$P=18$.

$P=2$.

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

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

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

$$y=2^x$$.

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

$$y=x^2$$.

$$y=\frac{1}{5^x}$$.

$$y={\left(\frac{\pi }{4}\right)}^x$$.

$$y=\frac{1}{{\left(\sqrt{7}-\sqrt{5}\right)}^x}$$.

$$y={\left(\frac{\mathrm{e}}{3}\right)}^x$$.

$2$.

$3$.

$-2$.

$-1$.

$3$.

Vô số.

$2$.

$1$.

$f\left(x_0\right)$.

$$\frac{f(x_0+\Delta x)-f(x_0)}{\Delta x}$$.

$$\underset{\Delta x\to 0}{\lim }\frac{f(x_0+\Delta x)-f(x_0)}{\Delta x}$$ (nếu tồn tại giới hạn).

$$\underset{\Delta x\to 0}{\lim }\frac{f(x_0+\Delta x)-f(x_0-\Delta x)}{\Delta x}$$ (nếu tồn tại giới hạn).

$10.$

$2.$

$3.$

$5.$

$$y=x^5\Rightarrow y^{\prime }=5x$$.

$$y=x^3\Rightarrow y^{\prime }=3x^2$$.

$$y=x\Rightarrow y^{\prime }=1$$.

$$y=x^4\Rightarrow y^{\prime }=4x^3$$.

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

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

$y^{\prime }=\cot x$.

$y^{\prime }=-\cot x$.

$y^{\prime \prime }\left(\frac{\pi }{2}\right)=-3$.

$y^{\prime \prime }\left(\frac{\pi }{2}\right)=5$.

$y^{\prime \prime }\left(\frac{\pi }{2}\right)=0$.

$y^{\prime \prime }\left(\frac{\pi }{2}\right)=3$.

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

$f^{\prime }\left(x\right)=\cos 2x$.

$f^{\prime }\left(x\right)=2\cos 2x$.

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

$y^{\prime }\left(1\right)=-4$.

$y^{\prime }\left(1\right)=-5$.

$y^{\prime }\left(1\right)=-3$.

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

$y^{\prime }=2x.$

$y^{\prime }={\mathrm{e}}^x.$

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

$y^{\prime }=\left(x-1\right){\mathrm{e}}^x.$

$A^{\prime }{C}^{\prime }\perp B{B}^{\prime }$.

$A^{\prime }{C}^{\prime }\perp BD$.

$A^{\prime }{C}^{\prime }//AC$.

$A^{\prime }{C}^{\prime }\perp D{D}^{\prime }$.

Tam giác thường.

Tam giác cân.

Tam giác đều.

Tam giác vuông.

$$BC\perp (SAC).$$

$$BC\perp (SAJ).$$

$$BC\perp (SAM).$$

$$BC\perp (SAB).$$

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

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

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

$CD\perp \left(SAD\right)$.

$3.$

$1.$

$2.$

$\sqrt{14}.$

$6$.

$3$.

$4$.

$12$.

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

$a.$

$a\sqrt{2}.$

$2a.$

$\widehat{SCA}$.

$\widehat{SAC}$.

$\widehat{ASC}$.

$\widehat{SCB}$.

$$\frac{2\sqrt{7}}{7}$$.

$$\frac{\sqrt{3}}{2}$$.

$$\sqrt{\frac{3}{7}}$$.

$$\frac{2\sqrt{3}}{3}$$.

Xung khắc với nhau.

Biến cố đối của nhau.

Độc lập với nhau.

Không giao với nhau.

$0,58$.

$0,7$.

$0,1$.

$0,12$.

Độc lập.

Không độc lập.

Xung khắc.

Không xung khắc.

$0,24$.

$0,36$.

$0,16$.

$0,48$.

$$0,9925$$.

$$0,9825$$.

$$0,9725$$.

$$0,9625$$.

$A\cup B=\Omega .$

$B\subset A.$

$A\cap B=\varnothing .$

$A=B.$

$$\frac{3}{4}$$.

$$\frac{1}{8}$$.

$$\frac{1}{3}$$.

$$\frac{1}{4}$$.

$\frac{C_5^4}{C_{13}^4}$.

$\frac{C_5^4}{C_8^4}$.

$\frac{A_5^4}{A_{13}^4}$.

$\frac{A_5^4}{A_8^4}$.

$\frac{12}{65}$.

$\frac{5}{21}$.

$\frac{24}{35}$.

$\frac{8}{35}$.