名校
1 . 在研究函数过程中,经常会週到一类形如
为实常数且
的函数,我们称为一次型分式函数.请根据条件完成下列问题.
(1)设
是实数,函数
,请根据
的不同取值,讨论函数
的奇偶性,并说明理由;
(2)设
是实数,函数
.若
成立的一个充分非必要条件是
,求
的取值范围;
(3)设
是实数,函数
,若存在区间
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9796db5f297d4023eac8d1aa4739c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b744e7cd7496125a9bcd6b756d09ebff.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1944af8ede16275cdcbe721a81870d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8aade587301e484fe76bdf87e6d5b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47f8d234c1df11e957b9bd7d3f2da47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe2a076aa933bf55763c67b8734b1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af24aeacd2576456cc192826ecd5b107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcc3c97c6d73f7ef44b90ec6f3065ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
2 . 已知两圆
,
.
(1)
和
的圆心分别为
和
,若直线
与线段
有交点,则实数
的取值范围是___________ .
(2)在一张画有直角坐标系的足够大的白纸上画出
和
,并将这两个圆的圆内部分均涂满红色,过原点画一条斜率为
的直线
,沿着
将该纸剪成两张纸,若这两张纸上红色部分的面积相等,则实数
取值的集合为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3482c9faf127d5248037bc7e036ed36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/101db7e46ae221a40f0f36891faf3b20.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.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/d2f49fc6babe4d5eba3b33891e75ec1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在一张画有直角坐标系的足够大的白纸上画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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