名校
1 . 如图,已知抛物线
和直线
.我们约定:当
任取一值时,
对应的函数值分别为
,若
,取
中的较小值记为
;若
,记
.下列判断:
①当
时,
;
②当
时,
值越大,
值越大;
③使得
的
值不存在;
④若
,则
.
其中正确的说法有_____ .(请填写正确说法的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ddab22ef24a6a23ca73ce8db0be9cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1823c64bfd818545905b3e7bf52955d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7404d4aa0f0bcfe7ebf45d3eeab3cdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6f3a6c1002546a7568c91ad97e47d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7404d4aa0f0bcfe7ebf45d3eeab3cdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1292c47f62023b747f1a4bd615c75284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858fca794d176940b772db318ac341f.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d155b9bf6d5e37d4b3bea6595baa0a4.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
③使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec136d2a5b316435958df01cdf8c44b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd4c63ae1fc87e1892f88e181ddadf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
其中正确的说法有
![](https://img.xkw.com/dksih/QBM/2022/8/3/3036407790297088/3042341698781184/STEM/cfb78f837d0948a6b3ebbb42562b0c9b.png?resizew=141)
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2 . 规定:
表示不大于
的最大整数.
表示不小于
的最小整数,
表示最接近
的整数(
,
为整数),例如:
,
,
,则下列说法正确的是______ .(写出所有正确说法的序号)
①当
时,
;
②当
时,
;
③方程
的解为
;
④当
时,函数
的图像与正比例函数
的图像有两个交点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c2719fc8914037d61e5bac0e1c5980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efe124c3e4a990276cfd12d6e6ecce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2885c5aea049f79db1faa99f1c40ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d54a0e82778f606d95a486835ac9f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618dd2aa80e1defb90ffbb5608a22799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3296a94b5421bf78627de2130d27b4.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc6d451543676efed0aaa864b953f0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fafc35c5b505364926a2be4569ff54.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6561e832adb14d1bc6f0858081642a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe8776a5e467bc6c363b97c8d6b0440.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9943f6f6f70592cf3617bb14204172b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bb2030f782a73d448466c38700e57f.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b88e53e6ca674b4cb92ba78dddf989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82c8c08709916bb2ff112bd1d5978ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23afc43a8c5b8cfe6bf2a1caed920c01.png)
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3 . 已知函数y=a(x+2)(x﹣
),有下列说法:①若平移函数图象,使得平移后的图象经过原点,则只有唯一平移方法:向右平移2个单位;②当0<a<1时,抛物线的顶点在第四象限;③方程a(x+2)(x﹣
)=﹣4必有实数根;④若a<0,则当x<﹣2时,y随x的增大而增大.其中说法正确的是____ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfe017e21d1a4e5cf7b1fbf44fcc0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfe017e21d1a4e5cf7b1fbf44fcc0ec.png)
您最近一年使用:0次