如图,二次函数
的图象经过点
,与
轴交于点
,点
在抛物线的对称轴上,
,则点
的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa11848714c76235b7e9fd567daa0ab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e357eebd36c7985f6624b016be0edff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4a30049e7fab254402afa240ea8b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/e7a8950e-59f4-4c91-aa67-5434e57c8813.png?resizew=169)
更新时间:2024-03-04 09:11:27
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【推荐1】如图,在平面直角坐标系中,点A,A1,A2,…在x轴上,点P,P1,P2,…在直线l:y=kx+
(k>0)上,∠OPA=90°,点P(1,1),A(2,0),且AP1,A1P2,…均与OP平行,A1P1,A2P2,…均与AP平行,则有下列结论:①直线AP1的函数解析式为y=x﹣2;②点P2的纵坐标是
;③点P2021的纵坐标为(
)2021.其中正确的是_____ (填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9717d0d1aa041214f440e171b54465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa585b9257ed0798213a9ae9b87d291.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/24bb1f70-7c23-4471-8fc3-03ac940f3fa1.png?resizew=470)
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解题方法
【推荐2】如图,平面直角坐标系中,已知直线
上一点
,
为
轴上一点,连接
,以
为边做等腰直角三角形
,
,过点
作线段
轴,垂足为
,直线
与直线
交于点
,且
,连接
,直线
与直线
交于点
,则
点的坐标是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6949c4960397d41ca1e105a791f053e7.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/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdc54e97435cb97a40ba3ef79958b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24624dffd30b66a5e4de57362b32b2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d6ceed6e5a36193bcb5a557853dbee.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/15/3f33b8b2-536f-4809-abcc-a1eb64cda2e5.png?resizew=168)
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【推荐1】已知点A(a,b)为直线
与直线
的交点, 且
,则m的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2950c21855e1f5878155caf58d11d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f99fc4a58d039d2ef89a79b1e3c625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ef6f920cf01e61596caa2243af1619.png)
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【推荐2】某工人用水枪浇花(如图1),手柄
长为
,
长为
,点
为出水口,点
到直线
的距离为
(如图2).完全开启后,水流路线可看成一条抛物线,点
,
都在这条抛物线上.当
处于铅垂方向时,水流经过垂直向上的树苗
的顶端点
,并落在草坪
处(如图3),
,
到直线
的距离为
.点
到草坪
的距离为
,
,
,
在一条直线上,则
到草坪
的距离为___ ,
的长为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b947152b672cf56e5a8cde6800d71c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110e329d74716ab387dc602bb2b4f998.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://img.xkw.com/dksih/QBM/2021/9/15/2808735718907904/2810135413284864/STEM/9b9a585ff9644bdc8a251e680f2919b6.png?resizew=465)
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【推荐1】如图,二次函数
的图象与
轴交于
,对称轴为直线
,与
轴的交点
在
和
之间(不包括这两个点),下列结论:①当
时,
;②
;③当
时,
;④
.其中正确的结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e705301752424a492f6277ed7774e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b843858ba23012c724dea0c51d54a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8e57454fb980d3b60274ea5ee8ce74.png)
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![](https://img.xkw.com/dksih/QBM/2020/7/4/2498576865894400/2498698479386624/STEM/ff78e96f-6815-47eb-a1f7-c9e2f3848cae.png?resizew=182)
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【推荐2】如图是抛物线y1=ax2+bx+c(a≠0)图象的一部分,抛物线的顶点坐标是A(1,3),与x轴的一个交点B(4,0),直线y2=mx+n(m≠0)与抛物线交于A、B两点.下列结论:
①2a+b=0;②abc>0;③方程ax2+bx+c=3有两个相等的实数根;④抛物线与x轴的另一个交点是(﹣1,0);⑤当1<x<4时,有y2<y1;⑥a+b≥m(am+b)(m实数). 其中正确的有___________ .
①2a+b=0;②abc>0;③方程ax2+bx+c=3有两个相等的实数根;④抛物线与x轴的另一个交点是(﹣1,0);⑤当1<x<4时,有y2<y1;⑥a+b≥m(am+b)(m实数). 其中正确的有
![](https://img.xkw.com/dksih/QBM/2020/12/24/2621010047123456/2679926030376960/STEM/bd3387ba627c49e796cee65191b459c6.png?resizew=189)
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【推荐1】在正方形ABCD中,
.点E是BC的中点,连接AE,点M是AE上一点,连接MD,MC,若
是等腰三角形,则AM的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a105649c15ef9598a6df8d794deb38.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/339246e3-c328-4b42-af23-1f486ff981a2.png?resizew=106)
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【推荐2】如图,在矩形
中
是
的中点,
是
的中点,点
在
上.分别连接
交于点
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0acaca7ce64a0f698cd854915fffc06.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917641f2c538951ed5b2346e500b5e0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de32260ba2cb998f3ffb8449cdaf7708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9700dab11dc96155f348374140af9aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0acaca7ce64a0f698cd854915fffc06.png)
![](https://img.xkw.com/dksih/QBM/2020/10/3/2562838002860032/2564301007216640/STEM/80e13039-e690-40a0-b1c2-cd37e41b9cac.png)
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