八年级(初二)试题
①曾国藩 ②林则徐 ③李鸿章 ④左宗棠 ⑤洪秀全 ⑥张之洞
如图，⊙O的半径长为10cm，弦AB＝16cm，则圆心O到弦AB的距离为（ ）
①森林减少 ②荒漠蔓延 ③水域污染 ④草原退化 ⑤火山地震频繁．
如图，四边形OABC是边长为4的正方形，点P为OA边上任意一点（与点O、A不重合），连接CP，过点P作PM⊥CP交AB于点D，且PM=CP，过点M作MN∥AO，交BO于点N，连结ND、BM，设OP=t．
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（1） 求点M的坐标（用含t的代数式表示）；
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（2） 试判断线段MN的长度是否随点P的位置的变化而改变？并说明理由．
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（3） 当t为何值时，四边形BNDM的面积最小；
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（4） 在x轴正半轴上存在点Q，使得△QMN是等腰三角形，请直接写出不少于4个符合条件的点Q的坐标（用含t的式子表示）．
材料一：
材料二：中国共产党在领导人民革命的过程中，积累了丰富经验，锻造出了有效的克敌制胜的武器。毛泽东指出：“统一战线，武装斗争，党的建设，是中国共产党在中国革命中战胜敌人的三个法宝，三个主要的法宝。”
本书编写组编著《中国共产党简史》
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（1） 综合上述材料，结合所学知识，请给材料一拟一个恰当的标题：。将材料一所示历史事件进行归类，属于“统一战线”的是；属于“武装斗争”的是；属于“党的建设”的是。（填写编号即可）
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（2） 根据上述材料一、二并结合相关史实，请人选其中一个“法宝”予以阐释（要求观点正确，史实准确，表述清晰
如图1，点O是正方形ABCD两对角线的交点，分别延长OD到点G，OC到点E，使OG=2OD，OE=2OC，然后以OG、OE为邻边作正方形OEFG，连接AG，DE．
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（1） 求证：DE⊥AG
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（2）
正方形ABCD固定，将正方形OEFG绕点O逆时针旋转α角（0°＜α＜360°）得到正方形OE′F′G′，如图2．
①在旋转过程中，当∠OAG′是直角时，求α的度数；
②若正方形ABCD的边长为1，在旋转过程中，求AF′长的最大值和此时α的度数，直接写出结果不必说明理由．
Mrs. Davies was a teacher in India. One summer she got a job as a teacher in an international school. But the school was in London. After she discussed with her husband, they decided to move to London.
One day, after dinner, Mr. and Mrs. Davies told their son, Matt, the decision about moving to London. The boy felt surprised and upset. He didn't want to leave his friends. He said that he would rather live with his classmate, Mike. His parents thought that he would change his mind later. Soon, it was August. Mr. and Mrs. Davies were busy packing. However, Matt refused to go together with his parents.
When the day came for them to leave India, Mr. and Mrs. Davies found their son lost. They were anxious and they called Mike, but he didn't know where Matt was, either. In fact, at that time, Matt was walking alone on the street. He walked past a park. He remembered that he and his father often played tennis in the park. He walked past a supermarket. It reminded him of shopping with his mother. He realized that those things would be meaningless(毫无意义的) without his family. Matt quickly ran home to say sorry to his parents. He told them he was looking forward to living in London with them and making new friends there.
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（1） Where did the Davies live before they moved to London?
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（2） How did Matt feel when his parents told him about moving to London?
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（3） Who did Matt's parents call when they couldn't find him?
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（4） What did Matt and his father often do in the park?
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（5） Did Matt want to move to London with his parents at last?
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- 北京时间2010年04月14日07时49分许，青海省玉树
