1 . 如图,抛物线
与双曲线
相交于点
、
.已知点
的坐标为
,点
在第三象限内,且
的面积为
(
为坐标原点).
(1)求实数
、
、
的值;
(2)过抛物线上点
作直线
轴,交抛物线于另一点
,求所有满足
的点
的坐标.(其中点
和点
,点
与点
分别是对应点)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa44500798a093bb85f76e2bef8876a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求实数
![](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/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)过抛物线上点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbea3f964b81d5077a4db9c4de1fa00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e111067987f83cc3dc2ff41b5c5fa00d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080751616/STEM/4c3b484549754744926febf66472c1e3.png?resizew=214)
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2011高一·安徽黄山·学业考试
2 . 如图,⊙
与⊙
相交于点A和B,经过A作直线与⊙
相交于D,与⊙
相交于C,设弧
的中点为M,弧
的中点为N,线段CD的中点为K.
求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06e273fc52edb4e575f769b06e7248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06e273fc52edb4e575f769b06e7248.png)
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080645120/STEM/5b13ca37fbd54e1b9adf3cfb6c931a49.png?resizew=363)
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2011高一·安徽黄山·学业考试
3 . 已知
是整数,且
,若
满足方程
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebd706eb54e21ec6130979357754e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1637ea5c1bf117cfed089055e22282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebd706eb54e21ec6130979357754e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9181031a7e019f28a463b057e870a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
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4 . 如图,正方形
的顶点
、
在反比例函数
的图象上,顶点
、
分别在
轴、
轴的正半轴上,再在其右侧作正方形
,顶点
、
在反比例函数
的图象上,顶点
在
轴的正半轴上,则点
的坐标为_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97eddfd44ede380b6572c6ed388e1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b8a183696731ea6e8878739f0eca2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](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/97161e556d4b477745f9426da506e1a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b8a183696731ea6e8878739f0eca2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080505856/STEM/f279d609-5862-47f3-8fbf-0af2a4c8aa98.png?resizew=184)
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2011高一·安徽黄山·学业考试
5 . 已知AC⊥BC于C,BC=a,CA=b,AB=c,下列选项中⊙O的半径为
的是( ).
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080309248/STEM/5a8eaab054304f3fab2373bc4266f6fd.png?resizew=39)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2011高一·安徽黄山·学业考试
6 . 已知点P的坐标是(
+a,
+b),这里a、b都是有理数,PA、PB分别是点P到x轴和y轴的垂线段,且矩形OAPB的面积为
.那么,点P可能出现在的象限有( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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