一、单项选择题(本题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的)-|||-1.已知椭圆的一个焦点为F(1,0),离心率为 dfrac (1)(2), 则椭圆的标准方程为 ()-|||-A. dfrac ({x)^2}(2)+(y)^2=1 B. ^2+dfrac ({y)^2}(2)=1 C. dfrac ({x)^2}(4)+dfrac ({y)^2}(3)=1 D. dfrac ({x)^2}(3)+dfrac ({y)^2}(4)=1-|||-2.若椭圆 (x)^2+k(y)^2=5 的一个焦点是(0,2),则实数 k= ()-|||-A. sqrt (5) B.1 C. sqrt (5) D.25-|||-3.如图,在圆 :((x+4))^2+(y)^2=100 内有一点A(4,0),点Q为圆C上一动点,AQ的垂直平分线与C、Q的连线交于点-|||-M,则动点M的轨迹方程为 ()-|||-y↑-|||-Q-|||-M-|||-C 0 A x-|||-A. dfrac ({x)^2}(25)-dfrac ({y)^2}(9)=1 B. dfrac ({x)^2}(25)+dfrac ({y)^2}(9)=1 C. dfrac ({x)^2}(25)+dfrac ({y)^2}(9)=1(xleqslant -5) D. dfrac ({x)^2}(25)+dfrac ({y)^2}(16)=1-|||-4.过椭圆 (x)^2+25(y)^2=225 的右焦点且倾斜角为45°的弦AB的长为 ()-|||-A.5 B.6 C. dfrac (90)(17) D.7-|||-5.设抛物线 :y=(x)^2 的焦点为F,准线为l,过F的直线m与C交于A,B,且与l交于M,若 |MA|=2|MB|, 则直线m的-|||-斜率为 ()-|||-A. pm dfrac (1)(3) B. pm dfrac (sqrt {2)}(4) C. pm dfrac (sqrt {2)}(3) D. pm dfrac (1)(4)-|||-6.已知椭圆 :dfrac ({x)^2}(10{a)^2}+dfrac ({y)^2}({a)^2}=1(agt 0) 的左,右焦点分别为F1,F2,点P是圆 ^2+(y)^2+6ax-31(a)^2=0 上一点,线段PF1与-|||-椭圆C交于点Q, angle PQ(F)_(2)=(60)^circ |Q(F)_(2)|=1, 则椭圆C的长轴长为 ()-|||-A. dfrac (sqrt {10)pm sqrt (6)}(2) B. dfrac (sqrt {10)+sqrt (6)}(2) C. pm sqrt (15) D. +sqrt (15)-|||-7.已知抛物线 :(y)^2=4x 的焦点为F,过点F的直线l与抛物线C交于P,Q两点,且 overrightarrow (FP)+3overrightarrow (FQ)=0, 则 Delta OPQ(0 为坐标-|||-原点)的面积S等于 ()-|||-A. sqrt (3) B. sqrt (3) C. dfrac (2sqrt {3)}(3) D. dfrac (4sqrt {3)}(3)-|||-8.如图,椭圆 :dfrac ({x)^2}(4)+(y)^2=1 的右顶点为A,上顶点为B,动直线l交椭圆C于M,N两点,且始终满足 bot ON, 作 bot -|||-MN交MN于点H,则HA·HB的取值范围是 ()-|||-y↑-|||-M B-|||-五-|||-0 A x-|||-N-|||-A. [ 3-2sqrt (3),3+2sqrt (3)] B. [ dfrac (4)(5)-dfrac (4sqrt {5)}(5),dfrac (4)(5)+dfrac (4sqrt {5)}(5)] C. [ -dfrac (6)(5),dfrac (14)(5)] D. [ -dfrac (5)(4),dfrac (15)(4)]