2022高一·全国·专题练习
1 . 二次函数
图象上一点
,当
时,存在
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f20758d5ec10cee675e0a8d0634e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdcfb92f8e5db74edc4aeaaf4649dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ddf7a77f9961af4c20f2468091754b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 下列结论中: ①若
, 则
;②若
, 则
的值为
; ③若规定: 当
时,
, 若
, 则
;④若
, 则
可表示为
; ⑤若
的运算结果中不含
的一次项, 则
. 其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a90283b52c5c93926018685da7e3337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41051a1d04e69df5a8d7c4fb3766729f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49d39926eb56fe04180290a72b3db28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65dcd8790e1d3c11adec3a8a45924af1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc9129493d8b120d3d891d4737b28cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b10b6d1e5cf3cf6e2b437e6e241c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d885b715677509354ccd6319b7eeb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56c095638f2cc31baa2b22ecbaaf385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd8baecf40d9b8d6771dfb7fd64c66c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa6ece41e260ac9503bfa92b0189360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
A.5 | B.4 | C.3 | D.2 |
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2022高一·全国·专题练习
3 . 如图,在正方形ABCD中,E为AB边上一点,
于点G,若已知下列三角形面积,则可求阴影部分面积和的是( )
![](https://img.xkw.com/dksih/QBM/2022/6/17/3003467663425536/3006275857776640/STEM/0b0752fbb3744c808d947772ac9fa2fe.png?resizew=147)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbfc35fc915ac7d4dc017e60ccdecbe.png)
![](https://img.xkw.com/dksih/QBM/2022/6/17/3003467663425536/3006275857776640/STEM/0b0752fbb3744c808d947772ac9fa2fe.png?resizew=147)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022高一·全国·专题练习
4 . 正方形
,
,
,
按如图所示的方式放置,点
,
,
,
在直线
上,点
,
,
,
在x轴上,已知点
是直线
与y轴的交点,则
的纵坐标是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/a8c1a9cb-2095-453d-86ae-ef47e5f6b6a8.png?resizew=324)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551d9dbea6e2147f1a626e58ce6e871c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e90dc669b9929e5857a5bba95d6ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0e0792b07debc56815a70f536c7c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2857fac4963b129d99e79dcb3e13d295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148769cd355e427616fd91c6bc7e347a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/a8c1a9cb-2095-453d-86ae-ef47e5f6b6a8.png?resizew=324)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022高一·全国·专题练习
5 . 如图,⊙I是Rt△ABC中的内切圆,
,过点I作
分别交CA,CB于E,F,若EA=4,BF=3,则⊙I的半径是( )
![](https://img.xkw.com/dksih/QBM/2022/6/17/3003467565973504/3006127130386432/STEM/7c540845d42b47f5841890bea7479003.png?resizew=253)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058f36d315245b63a811d5c6f348c17b.png)
![](https://img.xkw.com/dksih/QBM/2022/6/17/3003467565973504/3006127130386432/STEM/7c540845d42b47f5841890bea7479003.png?resizew=253)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图,
的两条内角平分线相交于点D,过点D作一条平分
面积的直线MN,那么这条直线分成的两个图形的周长比是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/5d750fd9-96e8-410f-afe7-2d62f7d80d38.png?resizew=164)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/5d750fd9-96e8-410f-afe7-2d62f7d80d38.png?resizew=164)
A.2∶1 | B.1∶1 | C.2∶3 | D.3∶1 |
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2022高一·全国·专题练习
7 . 已知二次函数y=ax2+bx+c的图象经过点
.若自变量x取−4,−
,1,3时,对应的函数值分别为
,则下列说法一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a7cba5b48b7bbe0e8e36b79586d57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b7a262d36d4d0f2cae62127aab1bd4e.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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8 . 下列命题中,假命题的个数是( )
①
;②分解因式:
;③
的算术平方根是3;④如果方程
有两个不相等的实数根,则实数
;⑤在一次数学答题比赛中,五位同学答对题目的个数分别为7,5,3,5,10,则这组数据的中位数是5.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d28956a40c7ef008f9a28a39184e24f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b910e5c3f347fefd1b0229c4110e92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5be7821872c2f83d39ffaea5216d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9080124b199b1e89dc16d0e12af028dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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2022高一·全国·专题练习
9 . 点P,Q,R在反比例函数
(常数
,
)图像上的位置如图所示,分别过这三个点作x轴、y轴的平行线,图中所构成的三处阴影部分的面积从左到右依次为
,
,
.若
,
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/21/5126075b-0fa7-4705-ba10-818ae255ae68.png?resizew=204)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3a8a40cf7f68df0cc230457570b402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09f5ec978d7ed1eee839b44287d69ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/21/5126075b-0fa7-4705-ba10-818ae255ae68.png?resizew=204)
A.2 | B.3 | C.4 | D.5 |
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