七年级数学期末模拟卷01（参考答案）【苏科版】七年级数学期末模拟卷（江苏专用）（苏科版七上第1~6章）-学易金卷：2023-2024学年初中上学期期末模拟考试.docx

2023-2024学年上学期期末模拟考试

七年级数学

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9．2.305×109 10．5 11．3

12． 13．4 14．158°42′

15．x2﹣4xy 16．32

17．（6分）

解：（1）原式＝（﹣24）×12-（﹣24）×5

＝﹣12+40+9

＝37；··············································································3分

（2）原式＝﹣1+6﹣9＝﹣4．··························································6分

18．（6分）

解：（1）4-x3=

5（4﹣x）＝3（x﹣3）﹣15，

20﹣5x＝3x﹣9﹣15，

﹣5x﹣3x＝﹣9﹣15﹣20，

﹣8x＝﹣44，

x=112；

（2）5（x﹣3）﹣2（x﹣3）＝0，

5x﹣15﹣2x+6＝0，

5x﹣2x＝15﹣6，

3x＝9，

x＝3．···········································································6分

19．（8分

解：∵x2+x＝0，∴x2+x+1186＝0+1186＝1186，

故答案为：1186；·······································································2分

（1）∵x2+x﹣1＝0，

∴x2+x＝1，

∴x2+x+2016＝1+2016＝2017，

故答案为：2017；······································································4分

（2）∵a+b＝5，

∴2（a+b）﹣4a﹣4b+21＝2（a+b）﹣4（a+b）+21＝﹣2（a+b）+21＝﹣10+21＝11；··········6分

（3）∵a2+2ab＝20，b2+2ab＝8，

∴2a2+4ab＝40，3b2+6ab＝24，

∴2a2+4ab﹣3b2﹣6ab＝2a2﹣3b2﹣2ab＝40﹣24＝16．······································8分

20．（6分）

解：（1）主视图，俯视图如图所示：

······················································2分

（2）这个几何体的表面积＝4+4+4+4+3+3＝22（cm2）；··································4分

（3）如果在这个几何体上再添加一些小立方块，并保持主视图和左视图不变，最多可以再添加2个小立方块．

故答案为：2．······································································6分

21．（8分）

解：（1）如图，直线CD即为所求；···················································2分

（2）如图，直线CE即为所求；······················································4分

（3）如图，在线段CA、CB、CE中，线段CE最短，理由是垂线段最短；

故答案为：CE，垂线段最短；························································6分

（4）S△ABC＝3×7-12×1×7-12×

故答案为：8．·········································································8分

22．（8分）

解（1）∵直线AB、CD相交于点O，

∴∠AOC+∠AOD＝180°，∠BOE+∠AOE＝180°，

∵∠AOC＝80°，

∴∠AOD＝180°﹣80°＝100°，

∵OE平分∠AOD，

∴∠AOE=12∠AOD＝

∴∠BOE＝180°﹣∠AOE＝180°﹣50°＝130°；········································4分

（2）由（1）得∠AOE＝50°．

∵OF⊥OE，

∴∠EOF＝90°，

即∠AOE+∠AOF＝90°．

∴∠AOF＝90°﹣∠AOE＝90°﹣50°＝40°．

∵∠AOC＝80°，

∴∠C