2020年甘肃省高考数学一诊试卷（理科）
一、选择题：本题共12小题，每小题5分，共60分．在每小题给出的四个选项中，只有一项是符合题目要求的．
1．（5分）已知![](https://wkrtcs.bdimg.com/rtcs/image?w=122&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"122","h":"20","c":"9b8447656a96f44f56e37435b13bf246.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=68&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"68","h":"21","c":"929849a79d5999b8dad863fe1feabfda.png"})
2．（5分）已知：![](https://wkrtcs.bdimg.com/rtcs/image?w=100&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"100","h":"21","c":"4a2c35cc76202f422cfe72dd5d0f1b77.png"})
A．5 B．![](https://wkrtcs.bdimg.com/rtcs/image?w=27&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"27","h":"29","c":"aa4e3cfb024c7ff30a8846913966dfb1.png"})
3．（5分）已知平面向量![](https://wkrtcs.bdimg.com/rtcs/image?w=56&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"56","h":"37","c":"078d08e40b7200545f2475d64885e634.png"})
A．3 B．![](https://wkrtcs.bdimg.com/rtcs/image?w=39&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"39","h":"29","c":"216554093aa007ab9947ed316b9c44a1.png"})
4．（5分）已知抛物线![](https://wkrtcs.bdimg.com/rtcs/image?w=132&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"132","h":"22","c":"8453a76292bcf676851b25f8ab891508.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=37&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"37","h":"29","c":"44dd454ebaaa58a80fe43f4a19faf2df.png"})
5．（5分）函数![](https://wkrtcs.bdimg.com/rtcs/image?w=176&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"176","h":"43","c":"9eda4476bbd8181b51fd9b66011ca1a3.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=132.00&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","r":"r_4","w":"132.00","h":"121.00","dataType":"png","c":"word/media/image34.png","imgOriW":133,"imgOriH":122})
B．
C．![](https://wkrtcs.bdimg.com/rtcs/image?w=145.00&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","r":"r_4","w":"145.00","h":"128.00","dataType":"png","c":"word/media/image36.png","imgOriW":145,"imgOriH":129})
D．
6．（5分）已知双曲线![](https://wkrtcs.bdimg.com/rtcs/image?w=215&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"215","h":"47","c":"aa82b1956cadd46805f47b9c5883e244.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=29&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"29","h":"52","c":"545d7812bbf630d7929e6c909cdbdae5.png"})
7．（5分）![](https://wkrtcs.bdimg.com/rtcs/image?w=27&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"27","h":"20","c":"fa2649300e79b95a974c00e60a4a5b61.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=200.00&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","r":"r_4","w":"200.00","h":"136.00","dataType":"png","c":"word/media/image60.png","imgOriW":200,"imgOriH":136})
A．2020年6月 B．2020年7月 C．2020年8月 D．2020年9月
8．（5分）设![](https://wkrtcs.bdimg.com/rtcs/image?w=19&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"19","h":"20","c":"6f8f57715090da2632453988d9a1501b.png"})
①若![](https://wkrtcs.bdimg.com/rtcs/image?w=54&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"54","h":"20","c":"8f919f12941931510f0b6236fd92c5e4.png"})
②若![](https://wkrtcs.bdimg.com/rtcs/image?w=42&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"42","h":"20","c":"31d9b614d5dd01d906e153e85b0df940.png"})
③若![](https://wkrtcs.bdimg.com/rtcs/image?w=45&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"45","h":"20","c":"a5ad4b9bef32d6a667e2003f6a2ca3bd.png"})
④若
其中正确的是![](https://wkrtcs.bdimg.com/rtcs/image?w=12&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"12","h":"21","c":"84c40473414caf2ed4a7b1283e48bbf4.png"})
A．①② B．②③ C．②④ D．③④
9．（5分）定义在![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"16","h":"20","c":"e1e1d3d40573127e9ee0480caf1283d6.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=66&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"66","h":"20","c":"24f28becfa0d33c285b226a2013cd1a0.png"})
10．（5分）将函数![](https://wkrtcs.bdimg.com/rtcs/image?w=149&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"149","h":"43","c":"badd305d23faa0f12cf3e5f5d0b545c8.png"})
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=68&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"68","h":"43","c":"e31f5e4260af05f6fe819f65a0d64442.png"})
11．（5分）若![](https://wkrtcs.bdimg.com/rtcs/image?w=88&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"88","h":"43","c":"b379059df5da962e75f6a7c68cdc020f.png"})
A．85 B．84 C．57 D．56
12．（5分）若函数![](https://wkrtcs.bdimg.com/rtcs/image?w=133&md5sum=6027cec826d33a22005d218c1d52992d&sign=8af15c89e1&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=475&ipr={"t":"img","w":"133","h":"22","c":"e893ef75cb6ecf63e4af65e2755b825b.png"})
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