共50条信息
如图,在直角梯形\(ABCD\)中,\(AB\)\(/\!/\)\(CD\),\(∠\)\(ADC\)\(=90^{\circ}\),\(AB\)\(=3\),\(AD=\sqrt{2}\),\(E\)为\(BC\)中点,若\(\overrightarrow{AB}\cdot \overrightarrow{AC}=3\),则\(\overrightarrow{AE}\cdot \overrightarrow{BC}=\) .
如果椭圆\( \dfrac{{x}^{2}}{36}+ \dfrac{{y}^{2}}{9}=1 \)的弦被点\(\left(2,1\right) \)平分,则这条弦所在的直线方程是___________
己知斜率为\(1\)的直线\(l\)与双曲线\(C\):\( \dfrac{{x}^{2}}{{a}^{2}}- \dfrac{{y}^{2}}{{b}^{2}}=1(a > 0,b > 0) \)相交于\(B\)、\(D\)两点,且\(BD\)的中点为\(M\left( 1,3 \right).\)则\(C\)的离心率\(=\)__________.
已知线段\(PQ\)的端点\(Q\)的坐标是\((4,3)\),端点\(P\)在圆\({{(x+1)}^{2}}+{{y}^{2}}=4\)上运动,求线段\(PQ\)的中点\(M\)的轨迹方程
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