1 . 定义:一个三角形的一边长是另一边长的2倍,这样的三角形叫做“倍长三角形”若等腰
是“倍长三角形”,底边
的长为3.则腰
的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2 . 下列命题中是真命题的有( )
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.在![]() ![]() ![]() |
D.对于任意实数![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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3 . 下列论述中,正确的有( )
A.集合![]() |
B.第一象限角一定是锐角 |
C.若![]() ![]() ![]() |
D.![]() ![]() |
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4 . 已知
是边长为1的等腰直角三角形,以
的斜边AC为直角边,画第一个等腰
,再以
的斜边AD为直角边,画第二个等腰
,…,依此类推,则画出的第2023个等腰直角三角形的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/c57e36dc-6e9f-4d96-96d6-72e0daa8b04d.jpg?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ce5d6ca24e249f7172e51c154509b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ce5d6ca24e249f7172e51c154509b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e7ba6e267dde1a65a98f9f36b585ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/c57e36dc-6e9f-4d96-96d6-72e0daa8b04d.jpg?resizew=152)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 如图,已知
,
为反比例函数
的图象上一点,以
为直径的圆的圆心
在
轴上,
与
轴正半轴交于
,则反比例函数解析式为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/2f24651f-c2db-4fb5-a084-35c1ce31a3d6.png?resizew=178)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd99c5000629d7f49499d666e68f40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0b612460326448de36e160c8d29af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bbb2a23bb28d443062ae3e1a30b1be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/2f24651f-c2db-4fb5-a084-35c1ce31a3d6.png?resizew=178)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如下图所示,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172b54d5833f597087dd240fcc4e5b95.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/c55cf609-088b-4e6f-bd26-0d97c1177960.png?resizew=161)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 下列各式:①
;②
;③
;④
;⑤
,其中计算正确的个数有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111848feaac6190bc8d4f98c56aaa93d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19085f2f3fa5264f5ec1a9fcf7e30330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba92522ec440429bc91ed5a359a9f8c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff58e47500ee4ed5b74453118d94980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c256c5c9e5b75bb4025d3cad9145183.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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2023·全国·模拟预测
8 . 已知二次函数
满足对于任意的
且
.若
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b311193d148272fea9a5f34653ee3e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcef60e5d4f3b49a3c6e2507e8998439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9feb6e3e6fab048b248ca4ac53b461c9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 某同学在劳动实习中,加工制作烟筒.如图,先用矩形铁皮围成一个圆柱,然后用一平面截该圆柱得到两个柱形部件,再将两个部件焊接在一起做成一个直角烟筒弯头,则两个烟筒部件在焊接处的椭圆的离心率为________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/966e5cae-8a82-44e4-b5d9-7fac9446b2f4.png?resizew=85)
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名校
解题方法
10 . 已知集合
,
,
,
,
,记事件
与
所成角为锐角,求事件
的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49972f77c4c3b89116f02cbaba7f9089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d090863f77c81ac25c42fc1c7904a655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed6451a30f130363d5afd36836098c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44b482719577dde6fa146e44aa0c448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299aa69ccc73d4180d665a7cf0975f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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