Đề thi cuối kì 2 Toán 11 Cánh diều – Đề 2 (có đáp án)

$a^m+a^n=a^{m+n}$.

$a^m.a^n=a^{m-n}$.

${\left(a^m\right)}^n={\left(a^n\right)}^m$.

$\frac{a^m}{a^n}=a^{n-m}$.

$D=\left(-\infty ;-1\right]\cup \left[3;+\infty \right)$.

$D=\left[-1;3\right]$.

$D=\left(-\infty ;-1\right)\cup \left(3;+\infty \right)$.

$D=\left(-1;3\right)$.

$\mathbb{R}$.

$\left(0;+\infty \right)$.

$\mathbb{R}\backslash \left\{0\right\}$.

$\left[0;+\infty \right)$.

$\left(10;+\infty \right)$.

$\left(0;+\infty \right)$.

$\left[10;+\infty \right)$.

$\left(-\infty ;10\right)$.

$\frac{8}{3}$.

$\frac{28}{15}$.

$\frac{26}{5}$.

$\frac{11}{5}$.

$\left[-1;1\right]$.

$\left(-\infty ;1\right]$.

$\left[-\sqrt{7};\sqrt{7}\right]$.

$\left[1;+\infty \right)$.

$\left[0;+\infty \right)$.

$\left(0;+\infty \right)$.

$\left(1;+\infty \right)$.

$\left[1;+\infty \right)$.

$33m/s$.

$27m/s$.

$9m/s$.

$3m/s$.

5.

$-\frac{1}{5}$.

$-5$.

$\frac{1}{5}$.

${\left(uv\right)}^{\prime }=u^{\prime }v+u{v}^{\prime }.$

${\left(u-v\right)}^{\prime }=u^{\prime }-v^{\prime }.$

${\left(\frac{u}{v}\right)}^{\prime }=\frac{u^{\prime }v-u{v}^{\prime }}{v}.$

${\left(u+v\right)}^{\prime }=u^{\prime }+v^{\prime }.$

$y^{\prime }=-\cos x-\sin x.$

$y^{\prime }=\cos x+\sin x.$

$y^{\prime }=\cos x-\sin x.$

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

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

${\left(\sqrt{x}\right)}^{\prime }=\frac{1}{\sqrt{x}},\left(x>0\right)$.

${\left(x^n\right)}^{\prime }=n{x}^{n-1}\left(n\in \mathbb{N},n>1\right).$

$c^{\prime }=0$($c$ là hằng số).

$f^{\prime }\left(2\right)=\frac{1}{36}$.

$f^{\prime }\left(2\right)=\frac{11}{6}$.

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

$f^{\prime }\left(2\right)=\frac{5}{12}.$

$6x^5-20x^4-16x^3$.

$6x^5-20x^4+4x^3$.

$6x^5+16x^3$.

$6x^5-20x^4+16x^3$.

$\left[-1;5\right]$.

$\varnothing$.

$\left(-\infty ;-1\right)\cup \left(5;+\infty \right)$.

$\left(-\infty ;-1\right]\cup \left[5;+\infty \right)$.

$y^{\prime \prime }=4\cos 2x$.

$y^{\prime \prime }=4\sin 2x$.

$y^{\prime \prime }=-4\sin 2x$.

$y^{\prime \prime }=-4\cos 2x$.

$y^{\prime \prime }+y=0.$

$y^{\prime \prime }+y^{\prime }=0.$

$y^{\prime }+y=0.$

$y^{\prime \prime }+y^{\prime }+y=0$.

$y^{\prime \prime }=5x^3-12x^2+1$.

$y^{\prime \prime }=5x^4-12x^3$.

$y^{\prime \prime }=20x^2-36x^3$.

$y^{\prime \prime }=20x^3-36x^2$.

$-\frac{8}{27}.$

$\frac{2}{9}$.

$\frac{8}{27}.$

$-\frac{4}{27}.$

$$x=2$$.

$$x=4$$.

$$x=1$$.

$$x=3$$.

$60^{\circ }$.

$30^{\circ }$.

$45^{\circ }$.

$$90^{\circ }$$.

Nếu đường thẳng $d$ vuông góc với mặt phẳng $\left(\alpha \right)$ thì $d$ vuông góc với hai đường thẳng trong mặt phẳng$\left(\alpha \right)$.

Nếu đường thẳng $d$ vuông góc với hai đường thẳng nằm trong mặt phẳng $\left(\alpha \right)$ thì $d$ vuông góc với mặt phẳng$\left(\alpha \right)$.

Nếu đường thẳng $d$ vuông góc với hai đường thẳng cắt nhau nằm trong mặt phẳng $\left(\alpha \right)$ thì $d$ vuông góc với bất kỳ đường thẳng nào nằm trong mặt phẳng$\left(\alpha \right)$.

Nếu $d\perp \left(\alpha \right)$ và đường thẳng $a//\left(\alpha \right)$ thì $d\perp a$.

$AM\perp SD$.

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

$AM\perp CD$.

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

$60^{\circ }.$

$135^{\circ }$.

$45^{\circ }$.

$90^{\circ }$.

$\sqrt{2}$.

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

$2$.

$2\sqrt{2}$.

$60^{\circ }.$

$30^{\circ }$.

$45^{\circ }$.

$90^{\circ }$.

$3$.

Vô số.

$1$.

$2$.

$\left(AD{D}^{\prime }{A}^{\prime }\right)$.

$\left(AB{C}^{\prime }{D}^{\prime }\right).$

$\left(A{B}^{\prime }{D}^{\prime }\right).$

$\left(BD{C}^{\prime }\right).$

$\left(SBC\right)$.

$\left(SAD\right)$.

$\left(SCD\right)$.

$\left(SAC\right)$.

$60^{\circ }.$

$30^{\circ }$.

$45^{\circ }$.

$90^{\circ }$.

$a\sqrt{5}$.

$a\sqrt{7}$.

$a\sqrt{6}$.

$a\sqrt{3}$

$a\sqrt{3}$.

$a$.

$2a$.

$a\sqrt{2}$.

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

$\frac{a}{2}$.

$\frac{a}{\sqrt{6}}$.

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

$\frac{a\sqrt{12}}{7}$.

$\frac{a\sqrt{21}}{7}$.

$\frac{a\sqrt{6}}{4}$.

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

$\frac{a^3}{3}$.

$a^3$.

$\frac{a^3\sqrt{3}}{9}$.

$\frac{a^3}{2}$.