1 . 判断下列命题的真假:
(1)
是
的必要条件;
(2)
是
的充分条件;
(3)两个三角形的两组对应角分别相等是两个三角形相似的充要条件;
(4)
是
的充分而不必要条件.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a473589d5abdd504fdb110828611a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
(3)两个三角形的两组对应角分别相等是两个三角形相似的充要条件;
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f78485f19aefc6110e03ece0207e391e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
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2 . 判断下列语句哪些是命题,是真命题还是假命题.
(1)
;
(2)等腰三角形两底角相等;
(3)若
,
是任意实数且
,则
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(2)等腰三角形两底角相等;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
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3 . 判断下列命题的真假:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
;
(5)设
,
,
是平面上不在同一直线上的三点,在平面上存在某个点
使得
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fa139aad70ad1ac124affc3fe5d75c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb853af35191946081f0b78f5dfca4c2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871454d1a0c9e545c7a9cad1d8482ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/687e3cb51a6b0f7eee667097d49c5dec.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65256b8bdeba77547b692c2a16563bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48796cc830526828ccedeaab0733da.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf3c7c2c4607a2a2c237dc995919e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48796cc830526828ccedeaab0733da.png)
(5)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fc65a72853bd8ac1ad0828270d3baf.png)
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4 . 判断命题“如果直线l在x轴,y轴上的截距分别为a,b且
,则l的斜率是
”的真假.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
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21-22高一·湖南·课后作业
5 . 写出下列命题的否定,并判断其真假:
(1)每个有理数都是实数;
(2)过直线
外任意一点有且仅有一条直线与已知直线
平行;
(3)设
,
是
的边
,
上的点,若
,
是
,
的中点,则
.
(1)每个有理数都是实数;
(2)过直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d459cad63e3cd2aba10862800fa4832.png)
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21-22高一·湖南·课后作业
6 . 判断下列命题的真假,并说明理由:
(1)若
,
是任意实数,则
;
(2)若
,
是实数且
,则
;
(3)若
,则
有两个不相等的实数根;
(4)若
有两个不相等的实数根,则实数
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60fc3e9456f71b31807e17c03ea0ae9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c988d709ba8cd8aed6cb83d76c0ba89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5977232839b54df456aeeacb13512d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac671e6d87de2fb5f7ad3aab582866d.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac671e6d87de2fb5f7ad3aab582866d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
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21-22高一·湖南·课后作业
7 . 判断命题“两条对角线互相垂直的四边形一定是菱形”的真假.
您最近一年使用:0次
21-22高一·湖南·课后作业
8 . 判断下列命题的真假,并说明理由:
(1)若
,则
;
(2)若
,则
;
(3)若
,
,则
;
(4)若
,
,则
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9efb7c654fc68e5f1c62cccf7ff156.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef20073a12bab727faa217718b63414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4170b01b9d92ceed605abb2657ebe27f.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef20073a12bab727faa217718b63414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab5cc3c1f4073f786f31ecef107fb3f.png)
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21-22高一·湖南·课后作业
9 . 判断下列命题的真假,并说明理由:
(1)菱形的两条对角线相等;
(2)末位是5的整数可以被5整除;
(3)
是方程
的根;
(4)设
是整数,若
是2的倍数,则
是16的倍数;
(5)设
,
,
为任意实数,若
,则
;
(6)到圆心的距离等于该圆半径的直线是圆的切线.
(1)菱形的两条对角线相等;
(2)末位是5的整数可以被5整除;
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0b663c96a45e8031dde30026ad204a.png)
(4)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b367f647833446cf684c3ddedb1592.png)
(5)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c2c12e403e4dab34c0590455dc0ce8.png)
(6)到圆心的距离等于该圆半径的直线是圆的切线.
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21-22高一·湖南·课后作业
10 . 判断下列命题的真假,并说明理由:
(1)“
”是“
”的充分条件;
(2)“
”是“
”的必要条件;
(3)“四边形为正方形”是“四边形为矩形”的充分而不必要条件;
(4)“
”是“
”的充要条件;
(5)“
”是“
”的充要条件;
(6)“
”的充要条件是“
”.
(1)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
(2)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d54e72f2a8f5bf4a12f3328503afb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
(3)“四边形为正方形”是“四边形为矩形”的充分而不必要条件;
(4)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eef30a1357d8d8b6a2de0cd4e960e9.png)
(5)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c2b3a80f7df0f53faa13cb8149b95c.png)
(6)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a479511a50da604b2fc7398617db8387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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