解题方法
1 . 已知点
,则线段
的垂直平分线的一般式方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfcef50cabebb11afc0ea70791ad23a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2 . 直线
被曲线
所截得的弦长为
,则实数
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafae84e7fe39dc5b694c39405201d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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3 . 已知抛物线
的焦点为
,直线
过焦点
与该抛物线相交于
两点,
为坐标原点,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b0ba14e41e306e5633ad4bf1cdedd8.png)
A.2 | B.3 | C.-2 | D.-3 |
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4 . 若函数
,则其导函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43f7c71aff75d60d21a9c477eb907d2.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81bf74389c72cd8508a26913de13130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43f7c71aff75d60d21a9c477eb907d2.png)
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5 . 古希腊数学家阿波罗尼奥斯(约公元首262公元前190年)的著作《圆锥曲线论》是古代世界光辉的科学成果,著作中这样一个命题:平面内与两定点距离的比为常数
且
的点的轨迹是圆,后人将这个圆称为阿波罗尼斯圆.已知点
满足
,则点
的轨迹与圆
的位置关系是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbf56f44f995858afc4f6ae1306bdbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15bb8775b827a649b07b6c2f8c3ea284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f6802187232e008e5a24d83fb2122d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab34ce6cee0673ab0d37b660d57bc07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0590d795f63a3b6a9df731d4ead1d6da.png)
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解题方法
6 . 若曲线
与
恰有两个不同的交点,则实数
的取值范围是为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30268fadc181e93003913fc30b862235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfffb79b03312977edde3993ad2882d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解题方法
7 . 设直线
与直线
的交点为
.
(1)求两直线的夹角
的大小;
(2)求过点
且平行于
的直线的一般式方程;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6358e1d29f143d9985718edabedbb538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5f69a1595ec04a16fad215f1d4e600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求两直线的夹角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b674ba17bb29c17dd984a51e8860e47e.png)
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解题方法
8 . 已知
的顶点坐标分别为
.圆
为
的外接圆.
(1)求圆
的方程;
(2)若直线
,求证:不论
为何值,直线
与圆
相交.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0a076f4d3181c344286cf83e79105f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae5275c6974e99eb1073710e1a9464d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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解题方法
9 . 已知函数
在
处的切线斜率为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470e051ec1701f654672ad3d9d6225c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
解题方法
10 . 在学习推理和证明的课堂上,王老师给出两个曲线方程
,问同学们:你想到了什么?能得到哪些结论?下列是两位同学的回答:甲:曲线
关于
对称;曲线
关于原点对称;乙:曲线
与坐标轴在第一象限围成的图形面积
;曲线
与坐标轴在第一象限围成的图形面积
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7284a400ead6e9eba02f326bc10564a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585709cb7afdaa0127f466c45e42883d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31dfce091ef8c7874d6209eef3bbb9f.png)
A.甲、乙两人都对 | B.甲、乙两人都不对; |
C.甲对,乙不对 | D.乙对,甲不对. |
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