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中考复习:二次函数题型分类总结
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中考数学二次函数分类汇编试题
中考数学二次函数分类汇编试题含答案 一、选择题 1、(2007天津市)已知二次函数)0(2≠++=a c bx ax y 的图象如图所示,有下列5个结论:① 0>abc ;② c a b +<;③ 024>++c b a ;④ b c 32<;⑤ )(b am m b a +>+,(1≠m 的实数)其中正确的结论有( ) B A. 2个 B. 3个 C. 4个 D. 5个 2、(2007南充)如图是二次函数y =ax 2+bx +c 图象的一部分,图象过点A (-3,0),对称轴为x =-1.给出四个结论:①b 2>4ac ;②2a +b =0;③a -b +c =0;④5a <b .其中正确结论是( ).B (A )②④ (B )①④ (C )②③ (D )①③ 3、(2007广州市)二次函数221y x x =-+与x 轴的交点个数是( )B A .0 B .1 C .2 D .3 4、(2007云南双柏县)在同一坐标系中一次函数y ax b =+和二次函数 2y ax bx =+的图象可能为( )A 5、(2007四川资阳)已知二次函数2y ax bx c =++(a ≠0)的图象开口向上,并经过点(-1,2),(1,0) . 下 列结论正确的是( )D A. 当x >0时,函数值y 随x 的增大而增大 B. 当x >0时,函数值y 随x 的增大而减小 C. 存在一个负数x 0,使得当x x 0时,函数值y 随x 的增大而增大 D. 存在一个正数x 0,使得当x x 0时,函数值y 随x 的增大而增大 6、(2007山东日照)已知二次函数y =x 2-x+a (a >0),当自变量x 取m 时,其相应的函数值小于0,那么 下列结论中正确的是( )B (A) m -1的函数值小于0 (B) m -1的函数值大于0 (C) m -1的函数值等于0 (D) m -1的函数值与0的大小关系不确定 二、填空题 1、(2007湖北孝感)二次函数y =ax 2+bx +c 的图象如图8所示, 且P =| a -b +c |+| 2a +b |,Q =| a +b +c |+| 2a -b |, 则P 、Q 的大小关系为 . P圆的有关性质
圆的有关性质 本章重点 1.圆的定义: (1)线段OA绕着它的一个端点O旋转一周,另一个端点A所形成的封闭曲线,叫做圆. (2)圆是到定点的距离等于定长的点的集合. 2.判定一个点P是否在⊙O上. 设⊙O的半径为R,OP=d,则有 d>r点P在⊙O 外; d=r点P在⊙O 上; d⑤圆内接四边形的对角互补;外角等于它的内对角. (3)弦切角:顶点在圆上,一边和圆相交,另一边和圆相切的角叫弦切角. 弦切角的性质:弦切角等于它夹的弧所对的圆周角. 弦切角的度数等于它夹的弧的度数的一半. 4.圆的性质: (1)旋转不变性:圆是旋转对称图形,绕圆心旋转任一角度都和原来图形重合;圆是中心对称图形,对称中心是圆心. 在同圆或等圆中,两个圆心角,两条弧,两条弦,两条弦心距,这四组量中的任意一组相等,那么它所对应的其他各组分别相等. (2)轴对称:圆是轴对称图形,经过圆心的任一直线都是它的对称轴.垂径定理及推论: (1)垂直于弦的直径平分这条弦,并且平分弦所对的两条弧. (2)平分弦(不是直径)的直径垂直于弦,并且平分弦所对的两条弧. (3)弦的垂直平分线过圆心,且平分弦对的两条弧. (4)平分一条弦所对的两条弧的直线过圆心,且垂直平分此弦. (5)平行弦夹的弧相等. 5.三角形的内心、外心、重心、垂心 (1)三角形的内心:是三角形三个角平分线的交点,它是三角形内切圆的圆心,在三角形内部,它到三角形三边的距离相等,通常用“I”表示.
中考英语单项选择训练汇萃附答案解析
中考英语总复习:单项选择训练汇萃 中考总复习单项选择训练之A词类 ( ) 1. --Have you had ________ breakfast yet? -- No, not yet. A./ B. a C. the D. an ( )2. Let's look at the bag. Can you see _____“s”on the corner of_____ bag? A. a, a B. a, the C. an, a D. an, the ( )3. There is egg on the table, egg is for you. A. a, A B. an, An C. an, The D. the, An ( )4. Our teacher told us that _______ moon moves around ______ earth, and ________ earth circles________ sun. A. a, a, a, a B. an, an, an, an C. the, the, the, the D. /, /, /, / ( )5. At that time, he was studying in_______ university. And it was a famous one. A./ B. the C. a , D. an ( )6. _________ mother is a worker. A. Mary and Mike's B. Mary's and Mike's C. Mary's and Mike D. Mary and Mike ( )7.He has searched the ________ or 2 hours for the information about Yang Liwei. A. mouse B. keyboard C. Internet D. computer ( )8.The room is too small, there' s no enough ________for another desk. A. place B. room C. floor D. ground ( )9.There may be something wrong with her ______,she can' t see things clearly. A. eyes B. ears C. mouth D. nose ( )10.-- Which room shall we live in tonight? –In __________. A. the Room 406 B. Room 406 C. the 406 Room D. 406 Room ( )11. We'll be away for two weeks because we'll have a ___________. A. two-weeks holiday B. two weeks' holidays C. two- week holiday D. two-weeks' holiday ( )12. The number of the students in our grade ________about six _______, of them are girls. A. are, hundreds, two- thirds B. is, hundred, two- third C. is, hundred, two thirds. D. are, hundreds, two third ( )13. ___________ travellers come to visit our city every year. A. Hundred of B. Hundreds of C. Five hundreds D. Hundred ( )14. He spent ________ yuan on the new computer. A. five thousand, three hundred and forty B. five thousand, three hundred and forties C. five thousands, three hundred and forty. D. five thousands, hundreds and forty ( )15. My home is about ________ from my school. A. 15 minutes B. 10 minute's ride C. 20 minutes by bike D. 15- minute's on foot. ( ) 16. We are doing much better ______ English _______ our teacher's help. A. in, at B. at, in C. in, with D. with, with ( ) 17. The food _______ my hometown is quite different ______that there. A. in, like B. to, from C. from, to D. in, from ( ) 18. Before 1992, there was no airline _________ the two cities. A. along B. in C. between D. among