题型:填空题 题类:期末考试 难易度:较易
年份:2018
平面向量\(\overset{⇀}{a}=\left(m,-1\right) \),\(\overset{⇀}{b}=\left(2,4\right) \),且\(\overrightarrow{a}\bot \overrightarrow{b}\)及\(\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=\overrightarrow{0}\),则\(m=\) ,\(\left| \overrightarrow{c} \right|=\) .
题型:填空题 题类:期末考试 难易度:较易
年份:2018
\((1)\int_{1}^{2}{\dfrac{1}{x}}dx=\)__________.
\((2)\)已知等差数列\(\left\{ {{a}_{n}} \right\}\)的通项公式为\({{a}_{n}}=3n-5\),则\({{\left( 1+x \right)}^{5}}+{{\left( 1+x \right)}^{6}}+{{\left( 1+x \right)}^{7}}\)的展开式中,含\({{x}^{4}}\)项的系数是该数列的第_________项\(.\)
\((3)\)已知随机变量\(X~B(4,p)\)若\(E\left( X \right)=2,\)则\(D\left( X \right)=\)__________.
\((4)S= \sqrt{1+ \dfrac{1}{{1}^{2}}+ \dfrac{1}{{2}^{2}}}+ \sqrt{1+ \dfrac{1}{{2}^{2}}+ \dfrac{1}{{3}^{2}}}+...+ \sqrt{1+ \dfrac{1}{{2018}^{2}}+ \dfrac{1}{{2019}^{2}}} \)的值为__________.