已知P={x|x2-8x-20 ≤0},S={x||x-1|≤m}.
(1)是否存在实数m,使x∈P是x∈S的充要条件?若存在,求出m的范围.
(2)是否存在实数m,使x∈P是x∈S的必要条件?若存在,求出m的范围.
17-18高二·全国·课后作业 查看更多[1]
(已下线)活页作业3 充要条件-2018年数学同步优化指导(北师大版选修2-1)
更新时间:2018-11-08 20:44:04
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【推荐1】已知
表示双曲线,
表示椭圆.
(1)若
为真命题,求实数
的取值范围.
(2)判断“
为真命题”是“
为真命题”的什么条件?
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(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)判断“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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【推荐2】已知命题
表示双曲线,命题
表示椭圆.
⑴若命题
为真命题,求实数
的取值范围.
⑵判断命题
为真命题是命题
为真命题的什么条件(请用简要过程说明是“充分不必要条件”、“必要不充分条件”、“充要条件”和 “既不充分也不必要条件”中的哪一个).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38aee4790fe5db101814c952cf4d8333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae8c58fe5051335b6d5bae4d82b057f.png)
⑴若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
⑵判断命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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【推荐1】不等式
的解集是
,关于x的不等式
的解集是
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
(3)设
实数x满足
,其中
,命题
实数x满足
.若p是q的必要不充分条件,求实数a的取值范围.
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(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
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(2)若
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(3)设
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799efe09bf12fbdb21c56a8c1e1b2dc1.png)
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【推荐2】已知p:x2≤5x﹣4,q:x2﹣(a+2)x+2a
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(2)若p是q的必要不充分条件,求实数a的取值范围.
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(1)若p为真命题,求x的取值范围;
(2)若p是q的必要不充分条件,求实数a的取值范围.
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解题方法
【推荐1】平面直角坐标系
中,设
是圆
上的点,且
构成了一个公差
不为零的等差数列
记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/874d98618db374206cb58d7ed1426e86.png)
(1)若
及
求点
的坐标;
(2)若
对于给定的自然数
写出符合条件的点
存在的充要条件,并说明理由;
(3)若
点
对于给定的自然数
当公差
变化时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29e3942d97d0e50b003c96ca2211bf4.png)
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(1)若
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(2)若
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(3)若
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【推荐2】设
是首项为
,公比为
的等比数列.
(1)若
,
,证明
为单调递增数列;
(2)试探究
为单调递增数列的充要条件(用
和
表示).
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(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f45f5bc7c648c0e8924b4fa7b1ad08.png)
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(2)试探究
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【推荐1】求解下列问题:
(1)已知集合A={x|a-2<x<a+2},B={x|x≤-2或x≥4},求
成立的充要条件;
(2)若任意x∈R,函数y=mx2+x-m-a的图象和x轴恒有公共点,求实数a的取值范围.
(1)已知集合A={x|a-2<x<a+2},B={x|x≤-2或x≥4},求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
(2)若任意x∈R,函数y=mx2+x-m-a的图象和x轴恒有公共点,求实数a的取值范围.
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【推荐2】已知
,
.
(1)是否存在实数
,使
是
的充要条件?若存在,求出
的取值范围;
(2)是否存在实数
,使
是
的必要条件?若存在,求出
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/b89f89b6a01648fd99a15f606b329f90.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/4c0538a3c6f140059c340055bd7e235a.png)
(1)是否存在实数
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/6db9f52ebaeb46508041fb08d2acbc6c.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/45d7bc81342540638b56c07d87a7639d.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/50584b4c9b024cba89ce88125538d709.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/6db9f52ebaeb46508041fb08d2acbc6c.png)
(2)是否存在实数
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/6db9f52ebaeb46508041fb08d2acbc6c.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/45d7bc81342540638b56c07d87a7639d.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/50584b4c9b024cba89ce88125538d709.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1826272726155264/1826272726261760/STEM/6db9f52ebaeb46508041fb08d2acbc6c.png)
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