2014·江西·二模
1 . ①(坐标系与参数方程选做题)在极坐标系中,已知圆C经过点
,圆心为直线
与极轴的交点,则圆C的极坐标方程是_______ ;
②(不等式选做题)已知关于x的不等式
的解集为
,则实数
的取 值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c1dd0d282af6a2ba9920877a06f2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a512ad265e775855a219356a9f40b4.png)
②(不等式选做题)已知关于x的不等式
![](https://img.xkw.com/dksih/QBM/2014/6/4/1571754783719424/1571754789265408/STEM/f0639c5340df4c91816147b1d3cc0bd4.png?resizew=121)
![](https://img.xkw.com/dksih/QBM/2014/6/4/1571754783719424/1571754789265408/STEM/35d70e740ab44e7b9976c650d590a111.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2014/6/4/1571754783719424/1571754789265408/STEM/1a9961ff3ec44af892368e4362b1c0b2.png?resizew=14)
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解题方法
2 . 当实数x、y满足
时,
的取值与x、y均无关,则实数a的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3579b9a24cb47dc26274579b2b67b07c.png)
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11-12高三·陕西西安·阶段练习
3 . (1).(坐标系与参数方程选讲)在极坐标系中,圆
的极坐标方程为:
,点
的极坐标为
,过点
作圆
的切线,则两条切线夹角的正切值是____ .
(2).(不等式选讲)若关于
的不等式
的解集不是空集,则实数
的取值范围是__________ .
(3).(几何证明选讲)如图圆O的直径
,P是AB的延长线上一点,过点P作圆O的切线,切点为C,连接AC,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e7d551cca653e2d638c8cab4c2fda8.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2780485e6dc2ea70d79026c267143a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e79d257fe55349c833c832aab0854bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2).(不等式选讲)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9923246f112940d04ab71f3b5dce9b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3).(几何证明选讲)如图圆O的直径
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6747441b260ca043446b5d472fece440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89efed6b39300185017ac7ff592fa15e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e7d551cca653e2d638c8cab4c2fda8.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570687143682048/1570687149113344/STEM/dbd3b5e5-cc0b-46f8-a2b2-20520aad41ff.png?resizew=243)
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4 . 选考题(请考生在A、B、C三题中任选一题作答,如果全选,则按A题结果计分)
A.已知函数
,
.若不等式
的解集为R,则
的取值范围是 .
B.在直角坐标系
中,以O为极点,x轴正半轴为极轴建立极坐标系,曲线C1的极坐标方程为
,曲线C2的参数方程为
(
为参数,
),则C1与C2有 个不同公共点.
C.已知C点在⊙O直径BE的延长线上,CA切⊙O于A点,若AB=AC,则
.
A.已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc61868afdd4ca3b21604f210456a3b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54cfdace00901347c8cc83b650fd731e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1587c9984a12dbc1565d8c8b44255cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
B.在直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e8e458b5efbae75bb54c6a5e699190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226faa9a54de1a3ebcd73c31c84381f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e44693550179ddaca2a57c7a1c2694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1bd28da79d86e474d7368db255317bd.png)
C.已知C点在⊙O直径BE的延长线上,CA切⊙O于A点,若AB=AC,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e00b7e3ee4b70170f98045b958d35.png)
![](https://img.xkw.com/dksih/QBM/2015/4/15/1572074090708992/1572074096115712/STEM/b8b4f4e8b8ee4d20883d1021e78a669a.png)
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10-11高三·江西九江·阶段练习
5 . (1)如果关于
的不等式
的解集不是空集,则参数
的取值范围是_________;
(2)直线
与圆
相切,则
_________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7c798c64bed60b0cbf9071ea550eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e427b432d1e8bb416f8f30c3be9761f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfeb24fcdda71038ad48476bf85f4464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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