1.单选题- (共7题)
A.144(1﹣x)2=100 | B.100(1﹣x)2=144 | C.144(1+x)2=100 | D.100(1+x)2=144 |
2.选择题- (共2题)
阅读理解
A man had a little dog, and he liked it a lot. He would pat (拍) its head, put it on his knee and talk to it. Then he would give it some food from his own plate.
A donkey (驴子) looked in through the window and saw the man and the dog.
" Why doesn't he choose me as his pet?" said the donkey. "It is not fair. I work hard, and the dog only shakes its tail, barks and jumps onto the master's (主人) knee. It is not fair. "
Then the donkey said to himself, "If I do what the dog does, the master may choose me as
his pet. "
So the donkey ran into the room. He brayed (嘶叫) at the top of his voice. He shook his tail so hard that he knocked over a jar on the table. Then he tried to jump onto the master's knee.
The master thought the donkey was maniacal , and he shouted, "Help ! Help ! "
Some men came running in with sticks in their hands and they beat the donkey until he ran out of the house.
"I only did what the dog did, " said the donkey, "and yet they still regard the dog as their pet and they beat me with sticks. It is not fair. "
根据短文内容,选择最佳答案,并将其标号填涂在答题卡相应位置。
阅读理解
A man had a little dog, and he liked it a lot. He would pat (拍) its head, put it on his knee and talk to it. Then he would give it some food from his own plate.
A donkey (驴子) looked in through the window and saw the man and the dog.
" Why doesn't he choose me as his pet?" said the donkey. "It is not fair. I work hard, and the dog only shakes its tail, barks and jumps onto the master's (主人) knee. It is not fair. "
Then the donkey said to himself, "If I do what the dog does, the master may choose me as
his pet. "
So the donkey ran into the room. He brayed (嘶叫) at the top of his voice. He shook his tail so hard that he knocked over a jar on the table. Then he tried to jump onto the master's knee.
The master thought the donkey was maniacal , and he shouted, "Help ! Help ! "
Some men came running in with sticks in their hands and they beat the donkey until he ran out of the house.
"I only did what the dog did, " said the donkey, "and yet they still regard the dog as their pet and they beat me with sticks. It is not fair. "
根据短文内容,选择最佳答案,并将其标号填涂在答题卡相应位置。
3.填空题- (共4题)
4.解答题- (共5题)
下面的证法供你参考:
把△ACD绕点A顺时针旋转60°得到△ABE,连接ED,则有△ACD≌△ABE,DC=EB,∵AD=AE,∠DAE=60°,
∴△ADE是等边三角形,∴AD=DE.在△DBE中,BD+EB>DE,即:BD+DC>AD
实践探索:
(1)请你仿照上面的思路,探索解决下面的问题:
如图3,点D是等腰直角三角形△ABC边上的点(点D不与B、C重合).求证:BD+DC>

(2)如果点D运动到等腰直角三角形△ABC外或内时,BD、DC和AD之间又存在怎样的数量关系?直接写出结论.
创新应用:
(3)已知:如图4,等腰△ABC中,AB=AC,且∠BAC=α(α为钝角),D是等腰△ABC外一点,且∠BDC+∠BAC=180°,BD、DC与AD之间存在怎样的数量关系?写出你的猜想,并证明.

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【1】题量占比
单选题:(7道)
选择题:(2道)
填空题:(4道)
解答题:(5道)
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【2】:难度分析
1星难题:0
2星难题:0
3星难题:0
4星难题:2
5星难题:0
6星难题:10
7星难题:0
8星难题:2
9星难题:2