云南昆明市官渡区云南师范大学附属世纪金源学校2026-2027学年上学期九年级数学期中试卷(无答案)

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云南师范大学附属世纪金源学校

2026-2027学年上学期期中初三年级数学试卷

(全卷3个部分,共4页:满分100分,考试时间120分钟)

注意事项:本卷为试题卷.考生必须在答题卡上解题作答.答案应书写在答题卡的相应位置上,在试题卷、草稿纸上作答无效.

一、选择题(本大题共15小题,每小题只有一个正确选项,每小题2分,共30分)

1.下列几何图形既是轴对称图形又是中心对称图形的是(    )

A. B. C. D.

2.若一元二次方程的一个根为,则的值为(    )

A.2 B.-2 C.4 D.-4

3.将二次函数的图象向右平移3个单位,再向上平移4个单位,那么所得的解析式为(    )

A.  B.

C.  D.

4.的半径为,为原点,点的坐标为,则点与的位置关系为(    )

A.点在内  B.点在上

C.点在外  D.点在上或外

5.下列关于反比例函数的描述中,正确的是(    )

A.图象在第一、三象限

B.点在反比例函数的图象上

C.当时,随的增大而增大

D.当时,随的增大而减小

6.设是一元二次方程的两个实数根,则的值为(    )

A.-5 B.1 C.3 D.13

7.在同一直角坐标系中,一次函数和二次函数的图象大致为(    )page number 0

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A.  B.

C.  D.

8.如图,将绕点按逆时针方向旋转得到,点的对应点恰好落在边上.若,则的度数为(    )

A. B. C. D.

9.如图,密闭容器内有一定质量的气体,当容器的体积(单位:)变化时,气体的密度(单位:)随之变化.已知密度与体积是反比例函数关系,即eqWmf183GmgAAAAAAAAAE4AMCCQAAAADzWQEACQAAA9gBAAAEAKEAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALgAwAECwAAACYGDwAMAE1hdGhUeXBlAADAABIAAAAmBg8AGgD/////AAAQAAAAwP///7j////AAwAAmAMAAAgAAAD6AgAAEAAAAAAAAAIEAAAALQEAAAUAAAAUAgACwgIFAAAAEwIAArYDBQAAAAkCAAAAAgUAAAAUAm4B3AIcAAAA+wKA/gAAAAAAAJABAQAAAAACABBUaW1lcyBOZXcgUm9tYW4A/v////jG3QIsE051QAAAAAQAAAAtAQEACQAAADIKAAAAAAEAAABrAAADBQAAABQCYAJGABwAAAD7AoD+AAAAAAAAkAEBAAABAAIAEFN5bWJvbABbAAAKAMhIOgP+////+MbdAiwTTnVAAAAABAAAAC0BAgAEAAAA8AEBAAkAAAAyCgAAAAABAAAAcgAAAwUAAAAUAowDoAIJAAAAMgoAAAAAAQAAAG55AAMFAAAAFAJgApABHAAAAPsCgP4AAAAAAACQAQAAAAEAAgAQU3ltYm9sAKUAAAoASEg6A/7////4xt0CLBNOdUAAAAAEAAAALQEBAAQAAADwAQIACQAAADIKAAAAAAEAAAA9AAADoQAAACYGDwA4AUFwcHNNRkNDAQARAQAAEQEAAERlc2lnbiBTY2llbmNlLCBJbmMuAAUBAAcIRFNNVDcAARNXaW5BbGxCYXNpY0NvZGVQYWdlcwARBVRpbWVzIE5ldyBSb21hbgARA1N5bWJvbAARBUNvdXJpZXIgTmV3ABEETVQgRXh0cmEAE1dpbkFsbENvZGVQYWdlcwARBsvOzOUAEgAIIS8n8l8hjyEvR19BUPIfHkFQ9BUPQQD0RfQl9I9CX0EA9BAPQ19BAPIfIKXyCiX0jyH0EA9BAPQPSPQX9I9BAPIaX0RfRfRfRfRfQQ8MAQABAAECAgICAAIAAQEBAAMAAQAEAAUACgEAEAAAAAAAAAAPAQIEhMEDcgIEhj0APQMACwAADwABAA8BAgCDawAADwABAA8BAgSEvQNuAAAAAAoAAAAmBg8ACgD/////AQAAAAAACAAAAPoCAAAAAAAAAAAAAAQAAAAtAQIAHAAAAPsCEAAHAAAAAAC8AgAAAIYBAgIiU3lzdGVtAABxBYoAAAAKANQoZp/UKGafcQWKAPDQ3QIEAAAALQEDAAQAAADwAQEAAwAAAAAA(为常数且),其图象如图所示.当时,气体的密度为(    )

A. B. C. D.

10.双曲线在第一象限的图象如图所示,其中的解析式分别为,过图象上的任意一点,作轴的平行线交的图象于点,交轴于点,连接.则的面积是(    )page number 1

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A.1 B.2 C.3 D.4

11.如图,若二次函数图象的对称轴为直线,与轴交于点,则当时,的取值范围为(    )

A.  B.

C.  D.或

12.直角三角形的两条直角边长分别是,则这个三角形的外接圆的半径是(    )

A. B. C. D.

13.2026年云南省滇超联赛在玉溪开幕,比赛采用单循环赛制(每两支队伍之间只比赛一场),若所有队伍的比赛总场次为120场,则参加本次联赛的队伍共有(    )

A.14支 B.15支 C.16支 D.17支

14.如图,小李推铅球,如果铅球运行时离地面的高度(米)关于水平距离(米)的函数解析式,那么他最终的成绩为(    )米.

A.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 B.eqWmf183GmgAAAAAAAGACwAECCQAAAACzXQEACQAAA2YBAAACAJEAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALAAWACCwAAACYGDwAMAE1hdGhUeXBlAAAwABIAAAAmBg8AGgD/////AAAQAAAAwP///8b///8gAgAAhgEAAAUAAAAJAgAAAAIFAAAAFAJgATQAHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7////4xt0CLBNOdUAAAAAEAAAALQEAAAkAAAAyCgAAAAABAAAANnkAAwUAAAAUAmAB+gAcAAAA+wKA/gAAAAAAAJABAQAAAAACABBUaW1lcyBOZXcgUm9tYW4A/v////jG3QIsE051QAAAAAQAAAAtAQEABAAAAPABAAAJAAAAMgoAAAAAAQAAAG15AAORAAAAJgYPABcBQXBwc01GQ0MBAPAAAADwAAAARGVzaWduIFNjaWVuY2UsIEluYy4ABQEABwhEU01UNwABE1dpbkFsbEJhc2ljQ29kZVBhZ2VzABEFVGltZXMgTmV3IFJvbWFuABEDU3ltYm9sABEFQ291cmllciBOZXcAEQRNVCBFeHRyYQATV2luQWxsQ29kZVBhZ2VzABEGy87M5QASAAghLyfyXyGPIS9HX0FQ8h8eQVD0FQ9BAPRF9CX0j0JfQQD0EA9DX0EA8h8gpfIKJfSPIfQQD0EA9A9I9Bf0j0EA8hpfRF9F9F9F9F9BDwwBAAEAAQICAgIAAgABAQEAAwABAAQABQAKAQAQAAAAAAAAAA8BAgCINgACAINtAAAAAAoAAAAmBg8ACgD/////AQAAAAAAHAAAAPsCEAAHAAAAAAC8AgAAAIYBAgIiU3lzdGVtAEFxBYoAAAAKAOoxZkHqMWZBcQWKAPDQ3QIEAAAALQEAAAQAAADwAQEAAwAAAAAA C.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 D.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

15.如图,二次函数的图象与轴的交点的横坐标为-1,3,则下列结论:

①;②;③;④对于任意均有;⑤方程page number 2

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