1 . 在等腰直角三角形ABC中,AB=AC=3,点P是边AB上异于A,B的一点,光线从点P出发,经BC,CA反射后又回到点P(如图),光线QR经过
ABC的重心,若以点A为坐标原点,射线AB,AC分别为x轴正半轴,y轴正半轴,建立平面直角坐标系.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/4b88b902-7604-45e2-9e55-bde2c58c4b69.png?resizew=108)
(1)AP等于多少?
(2)D(x,y)是
RPQ内(不含边界)任意一点,求x,y所满足的不等式组,并求出D(x,y)到直线2x+4y+1=0距离的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/4b88b902-7604-45e2-9e55-bde2c58c4b69.png?resizew=108)
(1)AP等于多少?
(2)D(x,y)是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
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2020-07-25更新
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207次组卷
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2卷引用:山西省怀仁市2020-2021学年高二上学期期中数学(理)试题
解题方法
2 . 设
,已知函数
.
(Ⅰ)当
时,判断函数
的奇偶性;
(Ⅱ)若
恒成立,求
的取值范围;
(Ⅲ)设
,若关于
的方程
有实数解,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64663000c9c761e53f018a9b54cd468.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17dee19e20ec748f8003a201f1d32539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f3dc4126f14210cd5d7ce715547053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
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