如图,在平面直角坐标系中,A、B、C三个点的坐标分别为
、
、
,D为
中点,
与
相交于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/5b73eeae-35c9-4996-ac9c-f889b04e833a.png?resizew=289)
(1)则点D坐标为_______,
________;
(2)点
在直线
上,且
,求b的值;
(3)点
在x轴上,若
的面积大于
的面积,直接写出m的取值范围_______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f39e4fe279f78b0bbc005bb1b7e862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4507ca336be21e7385780be59f8101f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3874215e70c90dcd8f74646cc3731b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/5b73eeae-35c9-4996-ac9c-f889b04e833a.png?resizew=289)
(1)则点D坐标为_______,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4730f06364a9fd0892cbe09840ebf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2578e2e741cc009bb3f1c742fc669f8.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ef45b04ea62a009406b769a615ba93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f5ea478093afeabf6e3c2e57c193db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
21-22七年级下·广东珠海·期末 查看更多[2]
广东省珠海市香洲区2021-2022学年七年级下学期期末数学试题(已下线)期末难点特训(三)和平面直角坐标系有关的压轴题-【微专题】2022-2023学年七年级数学下册常考点微专题提分精练(人教版)
更新时间:2022-07-23 20:23:13
|
相似题推荐
解答题-问答题
|
较难
(0.4)
【推荐1】如图所示,在平面直角坐标系
中,点A,
,
的坐标为
,
,
,其中
,
,
满足
,
.
(1)求
,
,
的值;
(2)若
在
轴上,且
,求
点坐标;
(3)如果在第二象限内有一点
,
在什么取值范围时,
的面积不大于
的面积?求出在符合条件下,
面积最大值时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/ef4a90cfdbfa05577b6ec0b22739e7c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabe33b24e9cabf7a5530bc75d37da2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f00fdb0b1dfb21a2e192990b79be37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f81c1e91ae24e4af740798f1eaea29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc3b5adde543bdd99d10f0b8e32a346.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b778d2f43e5531a611c7550821846e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)如果在第二象限内有一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26178e9ecc496514c4a3d8ab8cb04fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b4dcc093218443f71a046b6df94bbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b4dcc093218443f71a046b6df94bbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/2021/6/30/2754059361280000/2788665471655936/STEM/75ed19bb-7524-4396-a8d1-65ae0786b6f2.png)
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【推荐2】在平面直角坐标系
中,对于点
,给出如下定义:当点
满足
时,称点
是点
的等和点,已知点
.
(1)在
中,点
的等和点有__________;
(2)点
在直线
上,若点
的等和点也是点
的等和点,求点
的坐标;
(3)已知点
和线段
,点C也在 x轴上且满足
,线段
上总存在线段
上每个点的等和点.若
的最小值为5,直接写出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bd36d19352628cb54c214436ee3322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27bd43bc4af1e3b28d0de0cc561b879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021044b4285c4fd3d5d80bc5bba561b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521d2cbdff8483ebba708857163ef1d9.png)
(1)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeff453b8d7a46430533ff4b3f64118f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1882d2f789de61b5b7e3ec952e13b99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac3dd1ffa1d71ff9b4165ab7569a4ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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【推荐1】2024年4月在北京师大二附中西城实验学校举办的跳蚤市场活动中,初一7班的小何同学购进2022年北京冬奥会吉祥物“冰墩墩”和残奥会吉祥物“雪容融”作为本次活动的卖品进行销售,售卖所得将进行爱心捐赠,帮助贫困山区的孩子.第一天小何同学将所带的1个“冰墩墩”和3个“雪容融”全部售出,销售总额为96元,其中“冰墩墩”的售价比“雪容融”售价高8元.
(2)看到很多同学都非常喜欢“冰墩墩”和“雪容融”,为了捐赠更多,第二天小何同学又带了这两种吉祥物进行售卖,共卖出10个,若这次销售总额不少于268元,求“冰墩墩”至少销售了多少个?
(2)看到很多同学都非常喜欢“冰墩墩”和“雪容融”,为了捐赠更多,第二天小何同学又带了这两种吉祥物进行售卖,共卖出10个,若这次销售总额不少于268元,求“冰墩墩”至少销售了多少个?
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【推荐2】【阅读思考】阅读下列材料:
已知“x﹣y=2,且x>1,y<0,试确定x+y的取值范围”有如下解法:
解:∵x﹣y=2,
∴x=y+2
又∵x>1
∴y+2>1
∴y>﹣1
又∵y<0
∴﹣1<y<0 ①
同理1<x <2 ②
由①+②得﹣1+1<x+y<0+2
∴x+y 的取值范围是0<x+y <2
【启发应用】请按照上述方法,完成下列问题:
已知x ﹣y =3,且x > 2,y <1,则x+y的取值范围是 ;
【拓展推广】请按照上述方法,完成下列问题:
已知x+y=2,且x>1,y>﹣4,试确定x﹣y的取值范围.
已知“x﹣y=2,且x>1,y<0,试确定x+y的取值范围”有如下解法:
解:∵x﹣y=2,
∴x=y+2
又∵x>1
∴y+2>1
∴y>﹣1
又∵y<0
∴﹣1<y<0 ①
同理1<x <2 ②
由①+②得﹣1+1<x+y<0+2
∴x+y 的取值范围是0<x+y <2
【启发应用】请按照上述方法,完成下列问题:
已知x ﹣y =3,且x > 2,y <1,则x+y的取值范围是 ;
【拓展推广】请按照上述方法,完成下列问题:
已知x+y=2,且x>1,y>﹣4,试确定x﹣y的取值范围.
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名校
【推荐3】在数学学习过程中,自学是一种非常重要的学习方式,通过自学不仅可以获得新知,而且可以培养和锻炼我们的思维品质.请你通过自学解答下面的问题:解决含有绝对值符号的问题,通常根据绝对值符号里所含式子的正负性,去掉绝对值符号,转化为不含绝对值符号的问题再解答.例如:解不等式
.解:①当
,即
时,原式化为:
,解得
,此时,不等式
的解集为
;②当
,即
时,原式化为:
,解得
,此时,不等式
的解集为
;综上可知,原不等式的解集为
或
.
(1)请用以上方法解不等式关于
的不等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95eb2b65178ec50f36e62c155ba1d039.png)
(2)已知关于
、
的二元一次方程组
的解满足
,其中
是正整数,求
值;
(3)已知关于
、
的方程组
满足方程组的未知数x的值为整数,系数
也为整数且
.求满足条件的
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2130fa2cb3e73bead93f60095fbe5452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d845417b3ad97837a7dc04fea8d900f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed742ecf1cbc482a4d7b87e2b05003c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e77510be521b8fe16f83d865908077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b23dc58407f071b8fb308a52b2ee05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2130fa2cb3e73bead93f60095fbe5452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b23dc58407f071b8fb308a52b2ee05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4275aba27a3d538febd974f608adc8b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5221e6ab623c4a5fc3cf6ce1a40d2f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c323ba2324e60de59a73b0c8e0b3b2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748418a963bdd8e32da4bab4e4abb7ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2130fa2cb3e73bead93f60095fbe5452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748418a963bdd8e32da4bab4e4abb7ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b23dc58407f071b8fb308a52b2ee05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748418a963bdd8e32da4bab4e4abb7ba.png)
(1)请用以上方法解不等式关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95eb2b65178ec50f36e62c155ba1d039.png)
(2)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501433ff3dd9f85fdc0d11baab71dbc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d10d88acb70d05170a5ef55c46ec1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d3c367f52a1fe19af02b54c15a6810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b3dc94900d737ad9de6653208f9782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解答题-证明题
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【推荐1】已知:在平面直角坐标系中,等腰直角
顶点A、
分别在
轴、
轴上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/d07be2ea-7a4c-4146-9f5f-5febd7ba6008.png?resizew=383)
(1)如图1,当
,点
在第四象限时,写出点
的坐标,并说明理由.
(2)如图2,当点
在
轴正半轴上运动,点
在
轴正半轴上运动,点
在第四象限时,作
轴于点
,试判断
之间的关系,请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149d217efaf5090696904003ec06393a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/d07be2ea-7a4c-4146-9f5f-5febd7ba6008.png?resizew=383)
(1)如图1,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cc15d839f3189ba7c4263eb156f547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da9dcf6c319174c9ea2b1ceaed1649a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da9dcf6c319174c9ea2b1ceaed1649a.png)
(2)如图2,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db86e0aa40aea260e2c0baf8f3897851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b831314d8352c06d6b460f4ccd99d80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de7fcbcb1ef0134d70156bb19852ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74d0fa1c76eb52a967752e951a1172b.png)
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【推荐2】平面直角坐标系中,点C、D在x轴负半轴上,点B在y轴正半轴上,
,
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea30fbb0f948b9b77446f7fe9b3435ad.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/12/e7ed8e18-db41-428e-a260-8461157b6dad.png?resizew=501)
(1)求B、C、D三点的坐标;
(2)若点P在y轴上,且三角形
的面积是三角形
面积的
,求点P坐标;
(3)过点B作
轴,已知
平分
,点E是x轴上的一个动点(不与点C,D重合),
平分
交直线
于点F,过点F作
交直线
于点G.
①如图2,当点E在点D的左侧,且
时,求
的值;
②直接写出
和
之间的数量关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d90bc7fd910d69984c0e271b916563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01019c6870cf70b2afef5e3265cc83f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1a4e650efb313eb5efe9b53b29cbe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea30fbb0f948b9b77446f7fe9b3435ad.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/12/e7ed8e18-db41-428e-a260-8461157b6dad.png?resizew=501)
(1)求B、C、D三点的坐标;
(2)若点P在y轴上,且三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce38feb7fb00f0dc5ebee0d207da6357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e04a5b59cced25ab7057d03fe3c0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6c7567972273b4ba733b47bf9d5408.png)
(3)过点B作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc195a9f7ac138e5a1ad87d5fa201c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b23e3ee827018557d6c88edd5369a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246a86f34603eaf2e6a948681b831b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4eccda4edcee29a5f15609e85106df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685516a27697104e83b311d76efa17aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95a2a2d3ead86a287255a428997c399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
①如图2,当点E在点D的左侧,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19802d08865da82c12c48270168fdf09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ee75a234ac05a3225e49ddd8c5065.png)
②直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751ce5948476aaa823ff0fa58c505519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ee75a234ac05a3225e49ddd8c5065.png)
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