求炎德英才大联考长沙市一中高考模拟卷二数学、理综、英语答案
推荐回答(3个)
炎德英才大联考数学你参考答案(一中版)
数学参考答案
一、选择题(本题10小题,每小题3分,共30分)
题序 1 2 3 4 5 6 7 8 9 10
答案 A B C D C A C B B A
二、填空题(本题6小题,每小题3分,共18分)
11. 1 <x ≤52 ; 12.三线合一; 13.(-1,-3);
14.15; 15.右、2、二; 16.135°.
三、解答题(本题共8小题,共52分)
17.(共5分)
(2+2分)
即-2≤x<3(结论与图共1分)
18.参考解:
作出∠MPN=60°(2分)
作出∠APN=30°(1分)
作出∠BPN=15°(1分)
作出C点 (1分)
注明:
△AEF就是所画的等腰三角形(1分)
19.(本题6分)
解:由表格可知函数的图象经过点A(0,1),B(1,0).
⑴设一次函数解析式为:y=kx+b,由题意可得:
0=k+b 且1=b (2分)
则:y=-x+1 (1分)
⑵ 当x=-1时,y=-(-1)+1=2, (1分)
所以空格里原来填的数是2 (1分)
20.(本题6分)
(每画对一个得3分)
21.(本题6分)
解:⑴判断:EF//AD (1分)
理由:∵DG∥AB,∴∠1=∠3, (1分)
又∵∠1 =∠2
∴∠2=∠3
则:EF//AD (1分)
⑵∵DG=AG
∴∠1=∠GAD, (1分)
又∠1=∠3
∴∠3=12 ∠BAC=12 ×70°=35° (1分)
而EF//AD
∴∠FEA=180°-∠3=145°. (1分)
22.(本题7分)
解:⑴设48座客车租了x辆,则:
32<48x-64(x-2)<64, (2分)
即:32<128-16x<64,
∴4又x是整数,所以x=5 (1分)
故外出郊游的学生共有48×5=240 (个) (1分)
⑵①租用48座客车的费用为:5×250=1250元; (1分)
②租用64座客车的费用为:4×300=1200元, (1分)
又1250>1200,∴应租用64座客车较为合算. (1分)
23.(本题7分)
平均分(分) 中位数(分) 众数(分)
八⑴班 85
八⑵班 80
解:⑴(每个数据1分,该小题共2分)
⑵∵S8012=70; (1分)
且S8022=160 (1分)
∴S8022> S8012
故八年级(1)的复赛成绩波动性较小. (1分)
⑶若要在每班参加复赛的选手中分别选出2人参加决赛,
∵八年级(2)班的优分(即100分)人数比(1)班更多. (1分)
∴选择八年级(2)更合理一些. (1分)
24.(本题9分)
解:⑴填空:
图①中CD与AB 平行 ;图②中CD与AB 垂直 . (两空共1分)
〖选①证法:
∵∠CAB=∠DBA,∴AE=EB,
又∵AC=BD,
∴DE=CE,则:∠DCE=∠EDC,
而:∠DEC=∠BEA,
∴∠DCE=∠BAE
∴CD//AB.〗
〖选②证法:∵AC=AD且CB=BD,
∴A,B都是CD的垂直平分线上的点
∴CD⊥AB〗 (任选一个结论证明, 2分)
⑵(答对2个得1分,后每对一个加1分,该小题共3分)
△EDC,△EBA,△CDB,△DAC.
⑶∵∠A=∠B1=30°,且∠ACB=90°,∴∠ABC=60°,
∵BC=A1D=4,∴△A1BC是等边三角形,
则:∠ACA1=90°-∠A1CB=30°,∴∠A =30°=∠A1CA,
∴AA1=A1C,又∵A1C=A1B,
∴A1是AB的中点,同理可得:B也是A1B1的中点.
故有AB=2CB=8,AC=82-42 =43 ,
∴S△ABC=12 ×BC×AC=83 . (3分)
炎德英才大联考长沙市一中2011届高考英语模拟卷(三)答案
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