6.
\((1)\)如果最简二次根式\(\sqrt{1+a}\)与\(\sqrt{4a-2} \)是同类二次根式,那么\(a \)_______.
\((2)\)如图,长方体的长\(BE=15cm\),宽\(AB=10cm\),高\(AD=20cm\),点\(M\)在\(CH\)上,且\(CM=5cm\),一只蚂蚁如果要沿着长方体的表面从点\(A\)爬到点\(M\),需要爬行的最短距离是多少 ____________
![](https://www.ebk.net.cn/tikuimages/2/2018/300/shoutiniao90/c3bbbccd82ce00f56db1f57b72012691.png)
\((3)\)如图,\(□\)\(ABCD\)与\(□\)\(DCFE\)的周长相等,且\(∠BAD=60^{\circ}\),\(∠F=110^{\circ}\),则\(∠DAE\)的度数为________.
![](https://www.ebk.net.cn/tikuimages/2/2018/300/shoutiniao39/fe77bcf0f349ecfb0f4857f4d6a6d907.png)
\((4)\)如图,将菱形纸片\(ABCD\)折叠,使点\(A\)恰好落在菱形的对称中心\(O\)处,折痕为\(EF.\)若菱形\(ABCD\)的边长为\(2cm\),\(∠A=120^{\circ}\),则\(EF=\)________________.
![](https://www.ebk.net.cn/tikuimages/2/2018/300/shoutiniao40/f82d5d0f34e936aced41f8d5aa3d4026.png)
\((5)\)如图
,在正方形\(ABCD\)中,\(E\)是\(AB\)上一点,\(BE=2\),\(AE=3BE\),\(P\)是\(AC\)上一动点,则\(PB+PE\)的最小值是_____.
![](https://www.ebk.net.cn/tikuimages/2/2018/300/shoutiniao17/d1986baa1c11f476f94af15f5c5f45c6.png)