全一卷
1.如图,数轴上点
对应的实数是( )
![](https://img./dksih/QBM/editorImg/2022/6/27/d4f0e29c-37d6-469f-a0ce-9148e8fb6ff4.png?resizew=303)
![](https:///quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img./dksih/QBM/editorImg/2022/6/27/d4f0e29c-37d6-469f-a0ce-9148e8fb6ff4.png?resizew=303)
A.![]() | B.![]() | C.1 | D.2 |
2.下列多边形具有稳定性的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
3.剪纸是我国具有独特艺术风格的民间艺术,反映了劳动人民对现实生活的深刻感悟.下列剪纸图形中,是中心对称图形的有( )
![](//static.xuejinqu.com/qimg/ab2/ab2576f2e78c5bfbf72f4ed5f9b914b9.png)
![](http://static.xuejinqu.com/qimg/ab2/ab2576f2e78c5bfbf72f4ed5f9b914b9.png)
① ② ③ ④
A.①②③ | B.①②④ | C.①③④ | D.②③④ |
4.水州市大力发展“绿色养殖”,单生猪养殖2021年共出栏7791000头,同比增长29.33%,成为湖南省生猪产业发展高地和标杆、将数7791000用科学记数法表示为( )
A.![]() | B.![]() | C.![]() | D.![]() |
5.下列各式正确的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
6.下列因式分解正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
7.我市江华县有“神州摇都”的美涨,每逢“盘王节”会表演长鼓舞,长鼓舞中使用的“长鼓”内腔挖空,两端相通,两端鼓口为圆形,中间鼓腰较为细小.如图为类似“长鼓”的几何体,其俯视图的大致形状是( )
![](//static.xuejinqu.com/qimg/276/276c689e0668a93c20e15ad8a488f762.png)
![](//static.xuejinqu.com/qimg/c1a/c1a1f8bd36523d2cb638a412012a7e9d.png)
![](http://static.xuejinqu.com/qimg/276/276c689e0668a93c20e15ad8a488f762.png)
![](http://static.xuejinqu.com/qimg/c1a/c1a1f8bd36523d2cb638a412012a7e9d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
8.李老师准备在班内开展“道德”“心理”“安全”三场专题教育讲座,若三场讲座随机安排,则“心理”专题讲座被安排在第一场的概率为( )
A.![]() | B.![]() | C.![]() | D.![]() |
9.如图,在
中,
,
,点
为边
的中点,
,则
的长为( )
![](https://img./dksih/QBM/editorImg/2022/6/27/38e50e9b-97c0-4f1f-b366-0ddf96e41b05.png?resizew=279)
![](https:///quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https:///quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https:///quesimg/Upload/formula/998329f9cdb86f5d60d7d5d70fc3781e.png)
![](https:///quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https:///quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https:///quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https:///quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img./dksih/QBM/editorImg/2022/6/27/38e50e9b-97c0-4f1f-b366-0ddf96e41b05.png?resizew=279)
A.![]() | B.![]() | C.2 | D.4 |
10.学校组织部分师生去烈士陵园参加“不忘初心,牢记使命”主题教育活动、师生队伍从学校出发,匀速行走30分钟到达烈士陵园,用1小时在烈士陵园进行了祭扫和参观学习等活动,之后队伍按原路匀速步行45分钟返校、设师生队伍离学校的距离为
米,离校的时间为
分钟,则下列图象能大致反映
与
关系的是( )
![](https:///quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
11.若单项式
的与
是同类项,则![](https:///quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https:///quesimg/Upload/formula/791a3659216868048b0a18431995e707.png)
![](https:///quesimg/Upload/formula/e19f2f1752ccc260efee8ae267217939.png)
![](https:///quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
12.请写出一个比
大且比10小的无理数:______ .
![](http://static.xuejinqu.com/qimg/20b/20b7aa75b4c2661858d5103f40a3be5d.png)
13.“闪电足球队”参加市中小学生足球比赛,在五场小组赛中,该足球队的进球数分别为:2,0,1,2,3,则此组数据的众数是______ .
14.解分式方程
去分母时,方程两边同乘的最简公分母是______ .
![](https:///quesimg/Upload/formula/ae286bea56474df6799aa05e0b729355.png)
15.已知一次函数
的图象经过点
,则![](//static.xuejinqu.com/qimg/4d2/4d2944e462d4ed271e842b6d5263a2df.png)
______ .
![](http://static.xuejinqu.com/qimg/daa/daab07b404650fcd6bbc35b257fa2189.png)
![](http://static.xuejinqu.com/qimg/e1b/e1b33a0f463d58ca2d4e329bd40318ce.png)
![](http://static.xuejinqu.com/qimg/4d2/4d2944e462d4ed271e842b6d5263a2df.png)
16.如图,
是
的直径,点
、
在
上,
,则![](https:///quesimg/Upload/formula/12e515787ebe97ed2662237d9ca51ea1.png)
______ 度.
![](https://img./dksih/QBM/editorImg/2022/6/27/f71ace2e-503e-4256-bdde-63c09984cda3.png?resizew=166)
![](https:///quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https:///quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https:///quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https:///quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https:///quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https:///quesimg/Upload/formula/e6662097cf94dc37facdaba44b49966d.png)
![](https:///quesimg/Upload/formula/12e515787ebe97ed2662237d9ca51ea1.png)
![](https://img./dksih/QBM/editorImg/2022/6/27/f71ace2e-503e-4256-bdde-63c09984cda3.png?resizew=166)
17.如图,图中网格由边长为1的小正方形组成,点
为网格线的交点.若线段
绕原点
顺时针旋转90°后,端点
的坐标变为______ .
![](https://img./dksih/QBM/editorImg/2022/6/27/5d6d669b-1498-4818-83e4-0f7d03fd3796.png?resizew=172)
![](https:///quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https:///quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https:///quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https:///quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img./dksih/QBM/editorImg/2022/6/27/5d6d669b-1498-4818-83e4-0f7d03fd3796.png?resizew=172)
18.我国古代数学家赵爽创制了一幅“赵爽弦图”,极富创新意识地给出了勾股定理的证明.如图所示,“赵爽弦图”是由四个全等的直角三角形与中间的小正方形拼成的一个大正方形,若大正方形的面积是25,小正方形的面积是1,则![](https:///quesimg/Upload/formula/32217457c4e96e2ef155cf15c1b65d97.png)
______ .
![](https://img./dksih/QBM/editorImg/2022/6/27/68495b6f-ef61-44df-ad1c-cdcb64e301b2.png?resizew=180)
![](https:///quesimg/Upload/formula/32217457c4e96e2ef155cf15c1b65d97.png)
![](https://img./dksih/QBM/editorImg/2022/6/27/68495b6f-ef61-44df-ad1c-cdcb64e301b2.png?resizew=180)
19.解关于
的不等式组:![](https:///quesimg/Upload/formula/5843602183531bf658d034807ebdd896.png)
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/5843602183531bf658d034807ebdd896.png)
20.先化简,再求值:
,其中
.
![](https:///quesimg/Upload/formula/91ce7bcc83e2ede5c07ad3321c4ba98a.png)
![](https:///quesimg/Upload/formula/4cc12fed7a6f4777c0fccc896e624281.png)
21.“风华中学”计则在劳动技术课中增设剪纸、陶艺,厨艺、刺绣、养殖等五类选择性“技能课程”,加大培养学生的劳动习惯和实践操作能力,为了解学生选择各“技能课程”的意向,从全校随机抽取了部分学生进行问卷调查,将调查结果整理并绘制如下不完整统计图表:
样本中选择各技能课程的人数统计表
![](//static.xuejinqu.com/qimg/8a3/8a3a30e4cc8918fcf3f585ef6834fe94.png)
请根据上述统计数据解决下列问题:
(1)扇形统计图中
______.
(2)厅抽取样本的样本容量是______.频数统计表中
______.
(3)若该校有2000名学生,请你估计全校有意向选择“养殖”技能课程的人数.
样本中选择各技能课程的人数统计表
技能课程 | 人数 |
![]() | |
![]() | 20 |
![]() | ![]() |
![]() | 20 |
![]() |
![](http://static.xuejinqu.com/qimg/8a3/8a3a30e4cc8918fcf3f585ef6834fe94.png)
请根据上述统计数据解决下列问题:
(1)扇形统计图中
![](http://static.xuejinqu.com/qimg/4d2/4d2944e462d4ed271e842b6d5263a2df.png)
(2)厅抽取样本的样本容量是______.频数统计表中
![](http://static.xuejinqu.com/qimg/8fb/8fba4d5932e95b223c745d4efa3447c4.png)
(3)若该校有2000名学生,请你估计全校有意向选择“养殖”技能课程的人数.
22.受第24届北京冬季奥林匹克运动会的影响,小勇爱上了雪上运动.一天,小勇在滑雪场训练滑雪,第一次他从滑雪道
端以平均
米/秒的速度滑到
端,用了24秒;第二次从滑雪道
端以平均
米/秒的速度滑到
端,用了20秒.
(1)求
的值;
(2)设小勇从滑雪道
端滑到
瑞的平均速度为
米/秒,所用时间为
秒,请用含
的代数式表示
(不要求写出
的取值范围).
![](http://static.xuejinqu.com/qimg/192/1925ea47fbab6fa1f0a10e0e0aaaa3ed.png)
![](http://static.xuejinqu.com/qimg/039/039b6475942f3ff717c931e24a9822a3.png)
![](http://static.xuejinqu.com/qimg/1d7/1d7e8e7e18ba05c445bcc19dae1e9118.png)
![](http://static.xuejinqu.com/qimg/192/1925ea47fbab6fa1f0a10e0e0aaaa3ed.png)
![](http://static.xuejinqu.com/qimg/476/4761b02c2333753e09b978d9903de97d.png)
![](http://static.xuejinqu.com/qimg/1d7/1d7e8e7e18ba05c445bcc19dae1e9118.png)
(1)求
![](http://static.xuejinqu.com/qimg/c4c/c4cc3d2dfe03a702d723b5ca5a83f574.png)
(2)设小勇从滑雪道
![](http://static.xuejinqu.com/qimg/192/1925ea47fbab6fa1f0a10e0e0aaaa3ed.png)
![](http://static.xuejinqu.com/qimg/1d7/1d7e8e7e18ba05c445bcc19dae1e9118.png)
![](http://static.xuejinqu.com/qimg/706/706fb623e02539a9f742a81f90418d0d.png)
![](http://static.xuejinqu.com/qimg/84e/84e7f223a0776f3fa9f9ec676e6b13d2.png)
![](http://static.xuejinqu.com/qimg/84e/84e7f223a0776f3fa9f9ec676e6b13d2.png)
![](http://static.xuejinqu.com/qimg/706/706fb623e02539a9f742a81f90418d0d.png)
![](http://static.xuejinqu.com/qimg/84e/84e7f223a0776f3fa9f9ec676e6b13d2.png)
23.如图,
是平行四边形
的对角线,
平分
,交
于点
.
(1)请用尺规作
的角平分线
,交
于点
(要求保留作图痕迹,不写作法,在确认答案后,请用黑色笔将作图痕迹再填涂一次);
(2)根据图形猜想四边形
为平行四边形,请将下面的证明过程补充完整.
![](//static.xuejinqu.com/qimg/d78/d78cbbdc922ef039fba7d9f46e14ea97.png)
证明:∵四边形
是平行四边形,
∴![](//static.xuejinqu.com/qimg/97c/97c8d5e49b25eeb8eee5306ec3fe8511.png)
∵
______(两直线平行,内错角相等)
又∵
平分
,
平分
,
∴
,![](//static.xuejinqu.com/qimg/867/867d2b2ea8db26780dd92a9c3faac89f.png)
∴![](//static.xuejinqu.com/qimg/cbc/cbcf0d079b96da6f6c71c8ffba763a65.png)
∴
______(______)(填推理的依据)
又∵四边形
是平行四边形
∴![](//static.xuejinqu.com/qimg/2c0/2c0cc72eb90bc94e72f3dcd8204987d1.png)
∴四边形
为平行四边形(______)(填推理的依据).
![](http://static.xuejinqu.com/qimg/31c/31cf0e9bae0e71607182edbb2d52d94c.png)
![](http://static.xuejinqu.com/qimg/84b/84b504d8c4c6b929d73e85789cc64078.png)
![](http://static.xuejinqu.com/qimg/0ee/0ee6ffa1df8c14e85fa722c294c7ba59.png)
![](http://static.xuejinqu.com/qimg/190/190eb587a027845791de2a561360f60b.png)
![](http://static.xuejinqu.com/qimg/6ba/6bae9535380b48f6d612f1fac8712bfe.png)
![](http://static.xuejinqu.com/qimg/393/3933a7cff86e3f9c2e7342f9c8fba2b1.png)
(1)请用尺规作
![](http://static.xuejinqu.com/qimg/6f6/6f601c8df45c8032a30b7dbbedb39d25.png)
![](http://static.xuejinqu.com/qimg/dd7/dd7af5b933c4f4e927aa899681146e63.png)
![](http://static.xuejinqu.com/qimg/637/637ce537f513fd734ce903b5c29085b1.png)
![](http://static.xuejinqu.com/qimg/235/23523c1f2bc71600e5ea2ad68fb5c403.png)
(2)根据图形猜想四边形
![](http://static.xuejinqu.com/qimg/aa5/aa5cb3e118428105bd53e2435eff7268.png)
![](http://static.xuejinqu.com/qimg/d78/d78cbbdc922ef039fba7d9f46e14ea97.png)
证明:∵四边形
![](http://static.xuejinqu.com/qimg/84b/84b504d8c4c6b929d73e85789cc64078.png)
∴
![](http://static.xuejinqu.com/qimg/97c/97c8d5e49b25eeb8eee5306ec3fe8511.png)
∵
![](http://static.xuejinqu.com/qimg/cf5/cf5eb5f35d5a69e9341ffa1b760cd409.png)
又∵
![](http://static.xuejinqu.com/qimg/dd7/dd7af5b933c4f4e927aa899681146e63.png)
![](http://static.xuejinqu.com/qimg/6f6/6f601c8df45c8032a30b7dbbedb39d25.png)
![](http://static.xuejinqu.com/qimg/0ee/0ee6ffa1df8c14e85fa722c294c7ba59.png)
![](http://static.xuejinqu.com/qimg/190/190eb587a027845791de2a561360f60b.png)
∴
![](http://static.xuejinqu.com/qimg/607/607e3fef91cbdd11a6a7a83f7e952669.png)
![](http://static.xuejinqu.com/qimg/867/867d2b2ea8db26780dd92a9c3faac89f.png)
∴
![](http://static.xuejinqu.com/qimg/cbc/cbcf0d079b96da6f6c71c8ffba763a65.png)
∴
![](http://static.xuejinqu.com/qimg/856/8567a355250d5e1ea384e823c79a690d.png)
又∵四边形
![](http://static.xuejinqu.com/qimg/84b/84b504d8c4c6b929d73e85789cc64078.png)
∴
![](http://static.xuejinqu.com/qimg/2c0/2c0cc72eb90bc94e72f3dcd8204987d1.png)
∴四边形
![](http://static.xuejinqu.com/qimg/aa5/aa5cb3e118428105bd53e2435eff7268.png)
24.为提高耕地灌溉效率,小明的爸妈准备在耕地
、B、C、
四个位置安装四个自动喷酒装置(如图1所示),A、B、C、
四点恰好在边长为50米的正方形的四个顶点上,为了用水管将四个自动喷洒装置相互连通,爸妈设计了如下两个水管铺设方案(各图中实线为铺设的水管).
方案一:如图2所示,沿正方形
的三边铺设水管;
方案二:如图3所示,沿正方形
的两条对角线铺设水管.
(1)请通过计算说明上述两方案中哪个方案铺设水管的总长度更短;
(2)小明看了爸妈的方案后,根据“蜂集原理”重新设计了一个方案(如图4所示),
![](//static.xuejinqu.com/qimg/567/567c3ba6f7b721f200414a6358a1bebd.png)
满足
,
,
、请将小明的方案与爸妈的方案比较,判断谁的方案中铺设水管的总长度更短,并说明理由.(参考数据:
,
)
![](http://static.xuejinqu.com/qimg/192/1925ea47fbab6fa1f0a10e0e0aaaa3ed.png)
![](http://static.xuejinqu.com/qimg/04a/04a25e2e21f0bef340335bd1b50ece41.png)
![](http://static.xuejinqu.com/qimg/04a/04a25e2e21f0bef340335bd1b50ece41.png)
方案一:如图2所示,沿正方形
![](http://static.xuejinqu.com/qimg/84b/84b504d8c4c6b929d73e85789cc64078.png)
方案二:如图3所示,沿正方形
![](http://static.xuejinqu.com/qimg/84b/84b504d8c4c6b929d73e85789cc64078.png)
(1)请通过计算说明上述两方案中哪个方案铺设水管的总长度更短;
(2)小明看了爸妈的方案后,根据“蜂集原理”重新设计了一个方案(如图4所示),
![](http://static.xuejinqu.com/qimg/567/567c3ba6f7b721f200414a6358a1bebd.png)
满足
![](http://static.xuejinqu.com/qimg/2ac/2ac958ed3569c9aadb28ebf2b9f58c6f.png)
![](http://static.xuejinqu.com/qimg/644/6449969420b670478db4468de38f47d3.png)
![](http://static.xuejinqu.com/qimg/d81/d81d4113570aeac4cfcc956e0444785d.png)
![](http://static.xuejinqu.com/qimg/763/76306e680b4ab557ddea95d79ef2adc0.png)
![](http://static.xuejinqu.com/qimg/dfa/dfa8870be8d6f18b30923b17a3d758e2.png)
25.如图,已知
,
是
的直径,
是
的切线,点
在
的延长线上,
,
交于点
,![](//static.xuejinqu.com/qimg/324/324c3890c3623cc0b69ec4b123f97ff5.png)
![](//static.xuejinqu.com/qimg/780/7800469eda1d0823d15b0ad57ff19a68.png)
(1)求证:
;
(2)求证:
;
(3)若
的面积
,求四边形
的面积
.
![](http://static.xuejinqu.com/qimg/637/637ce537f513fd734ce903b5c29085b1.png)
![](http://static.xuejinqu.com/qimg/0ef/0ef4f6df07e5e927eb7e45132a7e9a0a.png)
![](http://static.xuejinqu.com/qimg/d6e/d6ef73778d61241b463b86695e3eaa18.png)
![](http://static.xuejinqu.com/qimg/925/925cfc6064f53312b0920034edcca149.png)
![](http://static.xuejinqu.com/qimg/d6e/d6ef73778d61241b463b86695e3eaa18.png)
![](http://static.xuejinqu.com/qimg/04a/04a25e2e21f0bef340335bd1b50ece41.png)
![](http://static.xuejinqu.com/qimg/c0c/c0c3da4a5bbeddc72b8141d71b25b9fe.png)
![](http://static.xuejinqu.com/qimg/b2a/b2a43f9f26c500fc12c44114b857d079.png)
![](http://static.xuejinqu.com/qimg/278/278f8b17d95fec27192f597856c8308c.png)
![](http://static.xuejinqu.com/qimg/393/3933a7cff86e3f9c2e7342f9c8fba2b1.png)
![](http://static.xuejinqu.com/qimg/324/324c3890c3623cc0b69ec4b123f97ff5.png)
![](http://static.xuejinqu.com/qimg/780/7800469eda1d0823d15b0ad57ff19a68.png)
(1)求证:
![](http://static.xuejinqu.com/qimg/4de/4de2ea8d56f434b41504a7ee0cd65ab8.png)
(2)求证:
![](http://static.xuejinqu.com/qimg/a10/a102495a775b65c87e6a1d7abb218191.png)
(3)若
![](http://static.xuejinqu.com/qimg/6f3/6f3a8eddc7d98d4d8e68270e5c227bfa.png)
![](http://static.xuejinqu.com/qimg/94a/94aa5a8dacdc029ea7a41eebbc6000fc.png)
![](http://static.xuejinqu.com/qimg/5ed/5ed0e115b858c97947097f0e2fbd7843.png)
![](http://static.xuejinqu.com/qimg/3ff/3ffef5a5d26f87a2c28256d73eb1dc65.png)
26.已知关于
的函数
.
(1)若
,函数的图象经过点
和点
,求该函数的表达式和最小值;
(2)若
,
,
时,函数的图象与
轴有交点,求
的取值范围.
(3)阅读下面材料:
设
,函数图象与
轴有两个不同的交点
,
,若
,
两点均在原点左侧,探究系数
,
,
应满足的条件,根据函数图像,思考以下三个方面:
①因为函数的图象与
轴有两个不同的交点,所以
;
②因为
,
两点在原点左侧,所以
对应图象上的点在
轴上方,即
;
③上述两个条件还不能确保
,
两点均在原点左侧,我们可以通过抛物线的对称轴位置来进一步限制抛物线的位置:即需
.
综上所述,系数
,
,
应满足的条件可归纳为:![](https:///quesimg/Upload/formula/a4ed397e07b2828f223ba607df962d01.png)
请根据上面阅读材料,类比解决下面问题:
若函数
的图象在直线
的右侧与
轴有且只有一个交点,求
的取值范围.
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
(1)若
![](https:///quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https:///quesimg/Upload/formula/faf03e87dd5d82d30fd01be26cee1f27.png)
![](https:///quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
(2)若
![](https:///quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https:///quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https:///quesimg/Upload/formula/7b3063bfe6823553765452848d91de1a.png)
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)阅读下面材料:
设
![](https:///quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https:///quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https:///quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https:///quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https:///quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https:///quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https:///quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
①因为函数的图象与
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/aa0d661c45eb618633665286c6700401.png)
②因为
![](https:///quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https:///quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https:///quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
③上述两个条件还不能确保
![](https:///quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https:///quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https:///quesimg/Upload/formula/c51a5f090ce34cdad6668c25b4129c94.png)
综上所述,系数
![](https:///quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https:///quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https:///quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https:///quesimg/Upload/formula/a4ed397e07b2828f223ba607df962d01.png)
请根据上面阅读材料,类比解决下面问题:
若函数
![](https:///quesimg/Upload/formula/b88e5f76e10c1fe6d64f1f9f008d0d82.png)
![](https:///quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https:///quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https:///quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)