1 . 阅读下面的材料,回答问题:
爱动脑筋的小明发现二次三项式也可以配方,从而解决一些问题.
例如:
;因此
有最小值是
.
(1)尝试:
,因此
有最大值是______.
(2)应用:有长为
米的篱笆,一面利用墙
墙的最大可用长度为
米
,围成一个长方形的花圃.能围成面积最大的花圃吗?如果能,请求出最大面积.
爱动脑筋的小明发现二次三项式也可以配方,从而解决一些问题.
例如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a424940bb28a12fe52f9ca1c80bbc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89470e52adc5679d354f5f30390d3b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(1)尝试:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb57d9c3b0e3c5aa3d3f287c5d49c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189287dfd39da92d2eba97adb8f37832.png)
(2)应用:有长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbecbd7e92dcbe1766462fcf40066de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
您最近一年使用:0次
2 . 已知点
,
,
均在抛物线
上,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5d57111dd825830d87e5a8ba28cf9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5e695fbbd1a4c076757c2172e9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213632685641d1d75ce7e827db800b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68846e796086eeff26e70135fdff94fb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b43498cdea91037bd093c1100af4f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
4 . 环保局对某企业排污情况进行检测,结果显示,所排污水中硫化物的浓度超标,即硫化物的浓度超过最高允许的
,环保局要求该企业立即整改,在
天以内
含
天
排污达标,整改过程中,所排污水中硫化物的浓度
与时间
天
的变化规律如图所示,其中线段
表示前
天的变化规律,从第
天起,所排污水中硫化物的浓度
与时间
成反比例关系
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/e6dcb5f3-7db2-41ec-a56e-343f816bfc7e.png?resizew=148)
(1)求整改过程中硫化物的浓度
与时间
的函数表达式(要求标注自变量
的取值范围)
(2)该企业所排污水中硫化物的浓度,能否在
天以内
含
天
排污达标?为什么?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b768f6382f0c0433af84576413ff092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae24921f8d0ec1105c435c43ac95838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285912b40e1dce8bfc029df88115c961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/e6dcb5f3-7db2-41ec-a56e-343f816bfc7e.png?resizew=148)
(1)求整改过程中硫化物的浓度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)该企业所排污水中硫化物的浓度,能否在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
您最近一年使用:0次
5 . 如图,已知抛物线
与
轴交于点
,
点
位于点
的左侧
,
为顶点,直线
经过点
,与
轴交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/e0a9c546-00c0-40e2-b6bd-2571429892f3.png?resizew=122)
(1)求线段
的长;
(2)沿直线
方向平移该抛物线得到一条新拋物线,设新抛物线的顶点为
,若点
在反比例函数
的图象上.求新抛物线对应的函数表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e61e0a1bc2ab34fe0cd1de9f59b0e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a920a78c48e71749017d40e01caa3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/e0a9c546-00c0-40e2-b6bd-2571429892f3.png?resizew=122)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)沿直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e76d09a7face9b72ac0890f47b90ad.png)
您最近一年使用:0次
6 . 如图,在平面直角坐标系中,已知点
,
,
,连接
,交
轴于点
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/9ae76bc6-8217-4c26-8945-db573faac703.png?resizew=167)
(1)求
的面积;
(2)求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b9486ec9dca95979803bf91ca6c337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7255cbfbc86408b7cd865e89e5de0fb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adeffa18e10445f8cc202a265d1271d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a840b4f8fb51a0ee50cac50d0eb785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a1effcc0aca94c88fb0b779d3a2e2c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/9ae76bc6-8217-4c26-8945-db573faac703.png?resizew=167)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
7 . 如图,在平面直角坐标系中,已知
、
现将
折叠,使点
落在
边的中点
处,折痕为
,其中点
在
轴上,点
在
边上,则点
的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9794b90c7775769f5ecfe86d1b4d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1dae05f42110fde12a61fca98bc408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/83011eb9-f212-4683-85cf-0fefac29fa6a.png?resizew=156)
您最近一年使用:0次
8 . 如图,在
中,
,
,
以点
为圆心,
的长为半径画弧,交线段
于点
,以点A为圆心,
长为半径画弧,交线段
于点
,则下列线段的长度是方程
的一个根的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/fbed1bc0-8bbc-4819-b62e-2b117767ee93.png?resizew=145)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e781a2489271bfd1597cba1bb6f5887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b148ebf7b5ca9cc3a6f1dfe3117cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7531f413a2b9bb13bab60e2b00569aeb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/fbed1bc0-8bbc-4819-b62e-2b117767ee93.png?resizew=145)
A.线段![]() | B.线段![]() |
C.线段![]() | D.线段![]() |
您最近一年使用:0次
9 . 如图,长为
的橡皮筋放置在
轴上,固定两端
和
,然后把中点
向上拉升
至
点,则橡皮筋被拉长了( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/99c5d5e7-683f-4fd9-a08a-7e52accda875.png?resizew=167)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976260cbf5e30856d4fd37a4b0a671a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/99c5d5e7-683f-4fd9-a08a-7e52accda875.png?resizew=167)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 人们常用里氏震级
表示地震的强度,
(单位:焦耳)表示地震释放出的能量,其关系式可以简单地表示为
(
为常数),已知甲地发生的里氏5.0级地震释放出的能量约为
焦耳,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1519ebff97d4ed1dfdcc5eddccf6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be3c0592e696ebbb7d20bfccbc641fa.png)
A.![]() |
B.![]() |
C.乙地发生的里氏3.2级地震释放出的能量为![]() |
D.甲地发生的里氏5.0级地震释放出的能量是丙地发生的里氏4.3级地震释放出的能量的![]() |
您最近一年使用:0次
2023-12-16更新
|
195次组卷
|
2卷引用:广东省部分名校2023-2024学年高一上学期期中联合质量监测数学试卷