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1、1/6 圆与圆的位置关系一、选择题1、（2018年上海青浦二模）如果1O的半径是 5，2O的半径为 8，124OO，那么1O与2O的位置关系是（）A内含；B内切；C相交；D外离答案：C2、（2018 年浙江金华四模）已知两圆的半径分别为3和 4，圆心距为1，则两圆的位置关系是（）相交内切外切内含答案：B 3、（2018年浙江金华五模）如图所示的物体由两个紧靠在一起的圆柱组成，小刚准备画出它的三视图，那么他所画的三视图中的俯视图应该是（）A两个相交的圆B两个内切的圆C两个外切的圆D两个外离的圆答案：C4、（2018 山东省德州四模）已知O1和O2外切，它们的半径分别为2cm和 5cm，则O1O2
2、的长（）（A）2cm（B）3cm（C）5cm（D）7cm 答案：D 5、（2018 山东省德州一模）以 O为圆心的两个同心圆的半径分别为9cm和 5 cm，若 P与这两个圆都相切，则下列说法中正确的是()(A)P的半径一定是2cm (B)P的半径一定是7 cm(C)符合条件的点P有 2 个 (D)P的半径是2 cm 或 7cm答案：D 6、（2018 江苏无锡前洲中学模拟）已知两圆的半径分别为6 和 4，圆心距为2，则两圆的位置关系是（）A相交B内含 C外切 D内切答案：D7、（2018 江苏扬州中学一模）两圆的半径分别为3 和 7，圆心距为7，则两圆的位置关系是（）A内切 B相交 C外切 D
3、外离(第 2 题图)主视方向2/6 答案：B 8、（2018 兴仁中学一模）已知两圆的半径分别为1 和 2，圆心距为5，那么这两个圆的位置关系是（）A内切 B相交 C外离 D外切9.（2018 年江苏海安县质量与反馈）两圆半径长分别为R 和 r，两圆的圆心距为d，以长度为 R、r、d 的三条线段首尾相接可以围成一个三角形，则两圆的位置关系是A外离 B内含 C相切 D相 交答案：D.10（2018 年江苏通州兴仁中学一模）已知两圆的半径分别为1 和 2，圆心距为5，那么这两个圆的位置关系是（）A内切 B相交 C外离 D外切答案：C.11、(2018 温州市泰顺九校模拟)在 Rt ABC 中，C=
4、90，AC=8，BC=6，两等圆 A，B 外切，那么图中两个扇形（即阴影部分）的面积之和为（）A825B425C1625D3225答案：B 12、（2018 年 4 月韶山市初三质量检测）已知O1与 O2相切 (包括内切与外切)，O1的半径为3 cm，O2的半径为2 cm，则 O1O2的长是（）A1 cm B5 cm C1 cm 或 5 cm D0.5cm 或 2.5cm 答案：C 13、（2018 年山东泰安模拟）已知O1和 O2的半径分别为1 和 4，如果两圆的位置关系为内含，那么圆心距O1O2的取值范围在数轴上表示正确的是（）A B C D 答案：B14、（2018 深圳市龙城中学质量检
5、测）如图，某宾馆大厅要铺圆环形的地毯，工人师傅只测量了与小圆相切的大圆的弦AB 的长，就计算出了圆环的面积若测量得AB 的长为20m，则圆环的面积为A10m2 B10m2 C100m2 D100m2第 1 题图A B C 文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7
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11、3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y73/6 第 5 题图答案：D 15、（2018 广西贵港）已知半径分别为cm5和cm8的两圆相交，则它们的圆心距可能是 Acm1 Bcm3
12、Ccm10Dcm15答案：C 16（2018 广西贵港）如图所示，在矩形ABCD中，8BC，6AB，经过点B和点D的两个动圆均与AC相切，且与DCADBCAB、分别交于点FEHG、，则GHEF的最小值是A6B8C6.9D10答案：C 17（2018 年广东模拟）已知两圆的半径分别是2 cm 和 4 cm，圆心距是2cm，那么这两个圆的位置关系是()A外离 B 外切 C 相交 D 内切（原创）答案D 18、（2018 年浙江省金华市一模）已知两圆的半径分别为2 和 3，圆心距为5，则这两圆的位置关系是（）A外离 B外切 C相交 D内切答案：B 19、（2018 年浙江省椒江二中、温中实验学校第一
13、次联考）两圆的圆心都在x 轴上，且两圆相交于A，B两点，点A 的坐标是（3，2），那么点B 的坐标为-（）A（3，2）B（3，2）C（3，2）D（3，0）.答案：B20、(徐州市2018 年模拟)已知半径分别为3 cm 和 1cm的两圆相交，则它们的圆心距可能是（）A1 cm B3 cm C5cm D7cm 答案：B 21.（盐城市亭湖区 2018年第一次调研考试）要在一个矩形纸片上画出半径分别是9cm和 4cm 的两个外切圆，该矩形纸片面积的最小值是（）。A.468 B.450 C.396 D.225 文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:
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19、3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:
20、CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y74/6 答案 B、二、填空题1、（2018 山东省德州一模）两圆半径分别是R和 r，两圆的圆心距等于5，且 R、r 是方程 x25x40 的两根，则两圆位置关系是答案：外切2、（2018 上海市奉贤区调研试卷）已知两圆的半径R、r分别为方程2560 xx的两根，两圆的圆心距为1，两圆的位置关系是答案：内切3、（2018 年北京中考数学模拟试卷）若相交两圆的半径长分别是方程0232xx的两个根，则它们的圆心距d的取值范围是答案：31d4、（2018
21、 双柏县学业水平模拟考试）A 的半径为2cm，AB=3cm以B 为圆心作 B，使得 A 与B 外切，则 B 的半径是 cm答案：1 5、淮南市洞山中学第四次质量检测，11,5 分 已知1O与2O相切，它们的半径分别为方程 x25x+6=0 的两根，则圆心距12O O的长是答案：1 或 5 6、（杭州市2018 年中考数学模拟）O1与 O2的半径分别为2 和 5，当 O1 O2=2.5 时，两圆的位置关系是答案：内含7、(2018 年金山区二模)已知两圆的圆心距为4，其中一个圆的半径长为3，那么当两圆内切时，另一圆的半径为答案：7 三、解答题1、（2018年，瑞安市模考）如图，已知等边三角形AB
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25、档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y
26、7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文
27、档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y
28、7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y75/6（1）试判断 EF与 O的位置关系，并证明你的结论；（2）过点 F作FH BC，垂足为点 H，若等边 ABC的边长为 8，求FH 的 长.答案：(1)EF是 O的切线.连接 OE,ABC是等边三角形，B C A60，OEOC，OCE是等
29、边三角形，EOC B60，OE AB.EFAB，EFOE，EF是 O得切线。5分(2)连接 BE，有 BEAC，即 AECE4.A60，EFAB，AEF30，AF2.BF6.FH BC，B60，BFH 30，BH 3，则 HF=3 3.5分2、（2018 广西贵港）（本题满分11 分）如图所示，O的直径6AB，AM和BN是它的两条切线，D为射线AM上的动点（不与A重合），DE切O于E，交BN于C，设yBCxAD,（1）求y与x的函数关系式；（2）若1O与O外切，且1O分别与CDBC、相切于点GF、，求x为何值时1O半径为答案：解：（1）如图所示，作BNDP，垂足为P 1 分AM和BN是O的两条
30、切线090BA四边形ABPD为矩 形xBPADABDP,6xyBPBCPC 2 分DE切O于ECBCEDEDA,yxCEDEDC 3 分由222DCPCPD，得222)()(6yxxy 4 分即xy9（0 x）5分（2）连接OC则OC平分BCD，6 分1O分别与CDBC、相切，1O在BCD的角平分线OC上，连接FO1，则BCFO1，作ABQO1，垂足为Q，则四边形QBFO1为矩形 7 分AB C D M N E G F O O1 O1 QP文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4
31、Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 H
32、R5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4
33、Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 H
34、R5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4
35、Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 H
36、R5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4
37、Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y76/6 当1O半径为 1 时，,213OQ4131OO，8 分32,301011QOBFQOOFCO，3FC 9 分33FCBFBC 10 分33399yx，即当x为3时，1O半径为 1 11 分文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7
38、文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5
39、Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7
40、文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5
41、Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7
42、文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7文档编码:CP6F3J3K5K4 HR5Y7J6R3E7 ZC4O4M6C4Y7