旋转的有关概念及性质(2).doc

班级_ 姓名_ 考场号_ 考号_ -密-封-线-一、选择题1. (2014 贵州省遵义市) 如图，已知ABC中，C=90，AC=BC=，将ABC绕点A顺时针方向旋转60到ABC的位置，连接CB，则CB的长为（）A2BC1D1填空题）2. (2014 黑龙江省哈尔滨市) （2014黑龙江哈尔滨市，9，3分）如图，在RtABC中，ACB90，B60，BC2，A/B/C是由ABC绕C点顺时针旋转得到，其中点A/与点A是对应点，点B/与点B是对应点，连接AB/，且A、B/、A/在同一条直线上，则AA/的长为（ ）（A）6 （B） （C） （D）3第9题图3. (2014 湖北省随州市) 在等边ABC中，D是边AC上一点，连接BD，将BCD绕点B逆时针旋转60，得到BAE，连接ED，若BC=5，BD=4则下列结论错误的是（）AAEBCBADE=BDCCBDE是等边三角形DADE的周长是94. (2014 湖南省长沙市) 下列四个圆形图案中，分别以它们所在圆的圆心为旋转中心，顺时针旋转120后能与原图形完全重合的是( )5. (2014 山东省莱芜市) 如图，AB为半圆的直径，且AB4,半圆绕点B顺时针旋转45，点A旋转到A的位置，则图中阴影部分的面积为（ ） ( 第8题图)A. B. 2 C. D. 4 6. (2014 山东省泰安市) 将两个斜边长相等的三角形纸片如图（1）放置，其中ACH=CED=90，A=45，D=30，把DCE绕点C顺时针旋转15得到DCE。如图（2），连接DB，则EDB的度数为（ ）（A）10 （B）20 （C）7.5 （D）157. (2014 浙江省金华市) 如图，将RtABC绕直角顶点C顺时针旋转90，得到ABC，连结AA，若1=20，则B的度数是（ )A.70 B.65 C.60 D.55ABCAB1 第8题图 8. (2014 四川省资阳市) 如图，在RtABC中，BAC=90，如果将该三角形绕点A按顺时针方向旋转到AB1C1的位置，点B1恰好落在边BC的中点处，那么旋转的角度等于（ ）A55 B60 C65 D80 9. (2014 四川省遂宁市) 如图，在RtABC中，ACB=90，ABC=30，将ABC绕点C顺时针旋转至ABC，使得点A恰好落在AB上，则旋转角度为（）A30B60C90D15010. (2014 浙江省义乌市) 如图，将RtABC绕直角顶点C顺时针旋转90，得到ABC，连结若1=20，则B的度数是（ )A.70 B.65 C.60 D.55ABCAB1 第8题图 11. (2014 广西桂林市) 如图，在ABC中，CAB=70，将ABC绕点A逆时针旋转到ABC的位置，使得CCAB，则BAB的度数是（ ）A70 B35 C40 D50二、填空题12. (2014 黑龙江省牡丹江市) 如图，在ABC中，AC=BC=8，C=90，点D为BC的中点，将ABC绕点D逆时针旋转45，得到ABC，BC与AB交于点E，则= .13. (2014 湖南省邵阳市) 如图（九），在平面直角坐标系xOy中，已知点A（3，4），将OA绕坐标原点O逆时针旋转90到OA，则点A的坐标是 .14. (2014 湖南省益阳市) 如图4，将等边绕顶点顺时针方向旋转，使边与重合得，的中点的对应点为，则的度数是 图4BCAFED 15. (2014 山东省济宁市) 如图（1），有两个全等的正三角形ABC和ODE，点O、C分别为ABC、DEO的重心；固定点O，将ODE顺时针旋转，使得OD 经过点C，如图（2）所示，则图（2）中四边形OGCF与OCH面积的比为 . 16. (2014 江西省) 如图，是将菱形ABCD以点O为中心按顺时针方向分别旋转90，180，270后形成的图形若BAD60，AB2，则图中阴影部分的面积为_ (第13题)OABCD17. (2014 江西省抚州市) 如图，两块完全相同的含30角的直角三角板ABC和重合在一起，将三角板绕其顶点按逆时针方向旋转角（0 90），有以下四个结论： 当=30时，与的交点恰好为的中点；当=60时，恰好经过点； 在旋转过程中，存在某一时刻，使得； 在旋转过程中，始终存在，其中结论正确的序号是 .(多填或填错得0分，少填酌情给分）18. (2014 广东省中山市) 如图，ABC绕点A顺时针旋转45得到ABC，若BAC=90，AB=AC=，则图中阴影部分的面积等于_三、画(作)图题19. (2014 黑龙江省龙东地区) 如图，方格纸中每个小正方形的边长都是1个单位长度，RtABC的三个顶点A（2，2），B（0，5），C（0，2）。（1） 将ABC以点C为旋转中心旋转180，得到A1B1C， 请画出A1B1C的图形 。（2）平移ABC，使点A 的对应点A2坐标为（2，6），请画出平移后对应的A2B2C2的图形。（3）若将A1B1C绕某一点旋转可得到A2B2C2，请直接写出旋转中心的坐标。ABCOxy四、应用题20. (2014 湖北省咸宁市) 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