江苏徐州市沛县树人联盟学区2026-2027学年九年级上学期11月期中数学试题(无答案)

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九年级期中考试数学试题

一、单项选择(本大题共8小题,每小题3分,共24分)

1.用配方法解方程时,原方程应变形为(     )

A. B. C. D.

2.下列说法正确的是(     )

A.等弧所对的圆心角相等  B.三角形的外心到这个三角形的三边距离相等

C.经过三点可以作一个圆  D.相等的圆心角所对的弧相等

3.已知的半径是,线段的长为,则点(     )

A.在外 B.在上 C.在内 D.不能确定

4.下列关于反比例函数的说法,正确的是(     )

A.随的增大而增大  B.随的增大而减小

C.函数图象位于第一、三象限 D.函数的图象经过点

5.反比例函数的图象上有三点,则的大小关系是(     )

A. B. C. D.

6.如图,点,,在上,,的度数是(     )

image

A. B. C. D.

7.如图,是的直径,弦交于点,连接、.若,则(     )

image

A. B. C. D.

8.某气球内充满了一定质量的气体,在温度不变的条件下,气球内气体的压强是气球体积的反比例函数,其图象如图所示.当气球内的气压大于时,气球将爆炸,为确保气球不爆炸,气球的体积应(     )page number 0

 

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image

A.不小于 B.不大于 C.不小于 D.不大于

二.填空题(本大题共8小题,每小题3分,共24分)

9.若是方程的一个根,则的值为_____.

10.已知双曲线在每个象限内都是随增大而增大,则的取值范围是_____.

11.如图,,分别与相切于,两点,,则_____度.

image

12.已知圆锥的底面半径为,母线长为,则它的侧面展开图的圆心角为_____度.

13.在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中,已知eqWmf183GmgAAAAAAAOAPQAIACQAAAACxUwEACQAAAwoCAAACAL8AAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADAJAAuAPCwAAACYGDwAMAE1hdGhUeXBlAABQABIAAAAmBg8AGgD/////AAAQAAAAwP///7f///+gDwAA9wEAAAUAAAAJAgAAAAIFAAAAFAKgAZwBHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7////IxBgDTFqQdkAAAAAEAAAALQEAABgAAAAyCgAAAAALAAAAQzkwLEJDNCxBQzMAdgLAAD8BkAD8AIICugCQAA4BdgIAAwUAAAAUAqABLgAcAAAA+wKA/gAAAAAAAJABAQAAAQACABBTeW1ib2wAfQAACgCQJaUH/v///8jEGANMWpB2QAAAAAQAAAAtAQEABAAAAPABAAAJAAAAMgoAAAAAAQAAANAAAAMFAAAAFAKgAfICHAAAAPsCgP4AAAAAAACQAQAAAAEAAgAQU3ltYm9sAMEAAAoAsCelB/7////IxBgDTFqQdkAAAAAEAAAALQEAAAQAAADwAQEADAAAADIKAAAAAAMAAAA9PT19AQbaBAADBQAAABQC9ACUBRwAAAD7AiD/AAAAAAAAkAEAAAABAAIAEE1UIEV4dHJhAAAKAJAlpQf+////yMQYA0xakHZAAAAABAAAAC0BAQAEAAAA8AEAAAkAAAAyCgAAAAABAAAAbwDAAb8AAAAmBg8AcwFBcHBzTUZDQwEATAEAAEwBAABEZXNpZ24gU2NpZW5jZSwgSW5jLgAFAQAHBERTTVQ3AAETV2luQWxsQmFzaWNDb2RlUGFnZXMAEQVUaW1lcyBOZXcgUm9tYW4AEQNTeW1ib2wAEQVDb3VyaWVyIE5ldwARBE1UIEV4dHJhABNXaW5BbGxDb2RlUGFnZXMAEQbLzszlABIACCEvJ/JfIY8hL0dfQVDyHx5BUPQVD0EA9EX0JfSPQl9BAPQQD0NfQQDyHyCl8gol9I8h9BAPQQD0D0j0F/SPQQDyGl9EX0X0X0X0X0EPDAEAAQABAgICAgACAAEBAQADAAEABAAFAAoBABAAAAAAAAAADwECBIQgItACAIFDAAIEhj0APQIAiDkAAgCIMAAPAAMAHAAACwEBAQAPAQIEixgibwAACgIAgiwAAgCBQgACAIFDAAIEhj0APQIAiDQAAgCCLAACAIFBAAIAgUMAAgSGPQA9AgCIMwAAAIgKAAAAJgYPAAoA/////wEAAAAAABwAAAD7AhAABwAAAAAAvAIAAACGAQICIlN5c3RlbQDdtACKBQAACgD2CWbd9glm3bQAigWozhgDBAAAAC0BAAAEAAAA8AEBAAMAAAAAAA==,则它的内切圆的半径是_____.

14.如图,矩形的顶点在双曲线上,点在反比例函数第二象限的图象上,若矩形面积为6,则的值为_____.

image

15.如图,,是的两条切线,eqWmf183GmgAAAAAAAMADwAECCQAAAAATXAEACQAAA2QBAAACAI0AAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALAAcADCwAAACYGDwAMAE1hdGhUeXBlAAAwABIAAAAmBg8AGgD/////AAAQAAAAwP///8b///+AAwAAhgEAAAUAAAAJAgAAAAIFAAAAFAJgAVgAHAAAAPsCgP4AAAAAAACQAQEAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7////4x28ATFpwd0AAAAAEAAAALQEAAAoAAAAyCgAAAAACAAAAQUI0AgADBQAAABQCYAEMARwAAAD7AoD+AAAAAAAAkAEAAACGAAIAAMvOzOUAGwptAAAKAPDT9wz+////+MdvAExacHdAAAAABAAAAC0BAQAEAAAA8AEAAAoAAAAyCgAAAAACAAAAo6wAAwAAjQAAACYGDwAPAUFwcHNNRkNDAQDoAAAA6AAAAERlc2lnbiBTY2llbmNlLCBJbmMuAAUBAAcERFNNVDcAABNXaW5BbGxCYXNpY0NvZGVQYWdlcwARBVRpbWVzIE5ldyBSb21hbgARA1N5bWJvbAATV2luQWxsQ29kZVBhZ2VzABEGy87M5QARBE1UIEV4dHJhABIACCEvRY9EL0FQ9BAPR19BUPIfHkFQ9BUPQQD0RfQl9I9CX0EA9BAPQ19BAPSPRfQqX0j0j0EA9BAPQPSPQX9I9BAPQSpfRF9F9F9F9F9BDwwBAAEAAQICAgIAAgABAQEAAwADAAQAAwAKAQAQAAAAAAAAAA8BAgCDQQACAIkM/wIAg0IAAAABCgAAACYGDwAKAP////8BAAAAAAAcAAAA+wIQAAcAAAAAALwCAAAAhgECAiJTeXN0ZW0A5bQAigUAAAoAdTNm5XUzZuW0AIoF2NFvAAQAAAAtAQAABAAAAPABAQADAAAAAAA=是切点,是弧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上一点,过点画的切线,分别交,于点,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,则的周长是_____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.

image

16.在中,若,则的面积的最大值为_____.page number 1

 

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