1 . 已知直线
:
,点
,
,点
在直线
上的射影为
,则线段
长度的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a102f882052aa9b9c921a1af96de10a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c730266ecf448c14608e24d37b986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f68f688a0af020ed2aa105a1bcdb52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
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名校
解题方法
2 . 已知圆C的方程为:
,直线l的方程为:
,
(1)若直线l在两坐标轴上的截距相等,求直线l的方程;
(2)证明:直线l与圆C相交,设直线l与圆C相交于A、B,求弦长
的最小值,及此时直线l的方程;
(3)圆C的圆心C与A、B构成三角形,求三角形ABC面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6149f77c210b79bd8059c7834ed35e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0918b40c288ea327d46f851493be688e.png)
(1)若直线l在两坐标轴上的截距相等,求直线l的方程;
(2)证明:直线l与圆C相交,设直线l与圆C相交于A、B,求弦长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(3)圆C的圆心C与A、B构成三角形,求三角形ABC面积的最大值.
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2024-04-07更新
|
301次组卷
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2卷引用:湖北省宜荆荆随恩2023-2024学年高二下学期3月联考数学试题
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解题方法
3 . 若存在
,使直线
与
的交点
在圆:
上,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0e1a9c21a11c369b2c2e77bdd4148f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b592328c8995d0483353b3a3a45b7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faca231d6c6cc84e0cd7827c1b04c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知抛物线
,设
为直线
上一动点,过点
作圆
的两条切线,切点分别为
.
(1)证明:动直线
恒过定点
;
(2)如图,设
与(1)中的定点
的连线交抛物线
于
两点,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a47a862a3ef10a3b7d5156ad81b69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ecbda387811f9cbe81058f0ca46209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8cd248d4a157145c73da742d3493858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/00b3a5cc-ca21-454d-a389-1fed7bcae59b.png?resizew=140)
(1)证明:动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(2)如图,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21cbb845a5e368ab788ada59609a08f3.png)
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5 . 已知直线
与圆
交于
两点,过
分别作
的垂线与
轴交于
两点,则当
最小时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7b02a080e9c7d2b9d2c621bcde2d67.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c30aa2540099230e48838ca4978897fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54329a84abb204cecb237b2bf2ff2bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7b02a080e9c7d2b9d2c621bcde2d67.png)
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6 . 以下四个命题表述正确的是( )
A.直线![]() ![]() |
B.已知过点![]() ![]() ![]() ![]() |
C.圆![]() ![]() ![]() |
D.已知圆![]() ![]() |
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2023-11-27更新
|
297次组卷
|
2卷引用:湖北省武汉市问津教育联合体2023-2024学年高二下学期3月联考数学试卷
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解题方法
7 . 已知直线
,圆
为坐标原点.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec54266be4ccf1aedf350a2cb855b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9aa563a3b4b30c80b28150a4a79887.png)
A.若圆![]() ![]() ![]() |
B.点![]() ![]() ![]() |
C.若直线![]() ![]() ![]() ![]() |
D.若直线![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
8 . 已知直线
,若直线
与圆
交于
两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b5291dc25723c0ca2d045377d80555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8785046420bdd426bbd7a26041ff214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.![]() | B.2 | C.![]() | D.4 |
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2023-10-19更新
|
694次组卷
|
2卷引用:湖北省云学新高考联盟学校2023-2024学年高二上学期10月联考数学试题
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解题方法
9 . 已知直线
,点
,若直线
与线段
相交,则
的取值范围为
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71cc5ae8906ec7ab4a709efe32b474d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18cc14f131d97e54c000e379903d492c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2023/9/27/3333782265946112/3334508039176192/STEM/acf1488b58dd4c058f179484393f3c17.png?resizew=4)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-09-28更新
|
460次组卷
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2卷引用:湖北省宜昌市枝江市第一高级中学2023-2024学年高二上学期10月月考数学试题
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解题方法
10 . 已知直线
与圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be4378781c9307addf8f7d1bd21f531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa83a40377e611d0afdd4235f921838.png)
A.直线l过定点![]() |
B.圆C的半径是4 |
C.直线l与圆C一定相交 |
D.圆C的圆心到直线l的距离的最大值是![]() |
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2023-09-05更新
|
955次组卷
|
2卷引用:湖北省武汉市第二中学2023-2024学年高二上学期10月阶段性检测数学试题